This is a two-volume set that provides an introduction to non-cooperative Game Theory. Volume 1 covers the basic concepts, while Volume 2 is devoted to advanced topics. The book is richly illustrated with approximately 400 figures. It is suitable for both self-study and as the basis for an undergraduate course in game theory as well as a first-year graduate-level class. It is written to be accessible to anybody with high-school level knowledge of mathematics. At the end of each (...) chapter there is a collection of exercises accompanied by detailed answers. The book contains approximately 180 exercises. (shrink)

In this paper we propose and analyze a game-theoretic model of the epistemology of peer disagreement. In this model, the peers' rationality is evaluated in terms of their probability of ending the disagreement with a true belief. We find that different strategies---in particular, one based on the Steadfast View and one based on the Conciliatory View---are rational depending on the truth-sensitivity of the individuals involved in the disagreement. Interestingly, the Steadfast and the Conciliatory Views can even be rational simultaneously (...) in some circumstances. We tentatively provide some reasons to favor the Conciliatory View in such cases. We argue that the game-theoretic perspective is a fruitful one in this debate, and this fruitfulness has not been exhausted by the present paper. (shrink)

Slurs’ meaning is highly unstable. A slurring utterance like ‘Hey, F, where have you been?’ (where F is a slur) may receive a wide array of interpretations depending on various contextual factors such as the speaker’s social identity, their relationship to the target group, tone of voice, and more. Standard semantic, pragmatic, and non-content theories of slurs have proposed different mechanisms to account for some or all types of variability observed, but without providing a unified framework that allows us to (...) understand how different contextual factors simultaneously influence slurs’ interpretation. To address this issue, I argue that slurs convey dimensional qualities such as, e.g., ‘negative valence, neutral arousal, high dominance’ instead of discrete emotional categories such as ‘contempt’. Then, I translate this hypothesis into a game-theoretic model of slurs’ interpretation inspired by Heather Burnett’s pioneering work on identity construction. This new model, called ‘Affective Meaning Games’ (AMG), captures the variability of slurs and integrates pragmatic reasoning within an independently motivated psychological understanding of emotional states. (shrink)

Logics of joint strategic ability have recently received attention, with arguably the most influential being those in a family that includes Coalition Logic (CL) and Alternating-time Temporal Logic (ATL). Notably, both CL and ATL bypass the epistemic issues that underpin Schelling-type coordination problems, by apparently relying on the meta-level assumption of (perfectly reliable) communication between cooperating rational agents. Yet such epistemic issues arise naturally in settings relevant to ATL and CL: these logics are standardly interpreted on structures where agents move (...) simultaneously, opening the possibility that an agent cannot foresee the concurrent choices of other agents. In this paper we introduce a variant of CL we call Two-Player Strategic Coordination Logic (SCL2). The key novelty of this framework is an operator for capturing coalitional ability when the cooperating agents cannot share strategic information. We identify significant differences in the expressive power and validities of SCL2 and CL2, and present a sound and complete axiomatization for SCL2. We briefly address conceptual challenges when shifting attention to games with more than two players and stronger notions of rationality. (shrink)

*North American Society for Social Philosophy (NASSP) Book Award 2019.* -/- *International Studies Association (ISA) - International Ethics Section Book Award 2021.* -/- Although military mores have relied primarily on just war theory, the ethic of cooperation in warfare (ECW)—between enemies even as they are trying to kill each other—is as central to the practice of warfare and to conceptualization of its morality. Neither game theory nor unilateral moral duties (God-given or otherwise) can explain the explicit language of cooperation (...) in developing and enforcing principles of military ethics and the law of armed conflict. -/- The ethic of cooperation is borne of various motivations: reciprocity, self-preservation, and efficiency, to be sure, but also a sense of warrior honor and concern with human rights. This shared morality can persist despite making it more difficult for one side or the other to win and, unfortunately, its well-meaning motivations often lead to unintended tragic consequences. -/- This book explores three manifestations of this significant yet overlooked ethic of cooperation in warfare: (1) for a “fair fight,” (2) to protect classes of individuals (e.g., non-combatants or prisoners of war), and (3) to end the war quickly. Such cooperation can take unexpected forms, from ad hoc decisions on the battlefield to institutionalization in international law, and is the source of some critical tensions in one of the most significant developments in warfare in recent years: namely, how to handle terrorism or other forms of warfare that lie outside the purview of international law. -/- Each type of ECW raises questions internal to that ethic, such as inconsistencies in the concept of “parity” across different weapons bans, contradictions within the warrior ethic that heavily influence—and therefore confuse—notions of the “fair fight,” the disconnect between what protections a person receives and his responsibility for the war (e.g., political leaders), or the limited decisiveness of outcomes generated by very short wars. -/- Their simultaneous application also generates significant tensions and raises questions about the proper relationship of ECW to the immediate goal of war itself, which is to win, and thus yield either a political settlement or a justicial decision. For example, the ECWs for a “fair fight” and to protect classes of individuals can make it harder to win the war, but even more concerning is that they can also kill more people, which in the latter case contravenes its very purpose. -/- Human history is in some ways the story of trying to concurrently wage and tame war, and the architecture of warfare itself is informed by the ECW, in particular: (a) the political nature of war, (b) the abdication from jus ad bellum judgments in order to concentrate on justice within war (jus in bello), and (c) the ways in which modern nation-states collude to define “legitimacy” in war. -/- The combination of these three features leave questions of justicial right and responsibility for war disturbingly unresolved, it also generates new challenges in a geopolitical context in which cooperative and non-cooperative (e.g. contemporary terrorism) forms of warfare clash. (shrink)

Recently, several philosophers have recast feminist arguments against pornography in terms of Speech Act Theory. In particular, they have considered the ways in which the illocutionary force of pornographic speech serves to set the conventions of sexual discourse while simultaneously silencing the speech of women, especially during unwanted sexual encounters. Yet, this raises serious questions as to how pornographers could (i) be authorities in the language game of sex, and (ii) set the conventions for sexual discourse - questions which (...) these speech act-theoretic arguments against pornography have thus far failed to adequately answer. I fill in this gap of the argumentation by demonstrating that there are fairly weak standards for who counts as an authority or convention-setter in sexual discourse. With this analysis of the underpinnings of a speech act analysis of pornography in mind, I discuss a range of possible objections. I conclude that (i) the endorsement of censorship by a speech act analysis of pornography competes with its commitment to the conventionality of speech acts, and, more damningly, that (ii), recasting anti-pornography arguments in terms of linguistic conventions risks an unwitting defence of a rapist's lack of mens rea - an intolerable result; and yet resisting this conclusion requires that one back away from the original claim to women's voices being 'silenced'. (shrink)

Ludwig Wittgenstein, in the "Remarks on the Foundation of Mathematics", often refers to contradictions as deserving special study. He is said to have predicted that there will be mathematical investigations of calculi containing contradictions and that people will pride themselves on having emancipated themselves from consistency. This paper examines a way of taking this prediction seriously. It starts by demonstrating that the easy way of understanding the role of contradictions in a discourse, namely in terms of pure convention within a (...) specific linguistic community, is naive and therefore to be avoided. A number of steps will then be taken to formulate and justify what will be called a ‘containment-account’ of contradiction. This term refers to a way of understanding how a contradiction in a discourse can be contained without allowing it to infect the entire discourse with inconsistency. The account builds on work done by N. Rescher and involves complex ontologies that are either over-determined or under-determined at some points. These worlds are such that, for some P, they allow us to deny simultaneously both that P and that -P. They likewise allow us to hold both that P and that -P. The ontological status of P and that of -P are considered independent issues, so as to block the inference from P and -P to the conjunction (P & -P). In this way, the task of containment is carried out by the complexity of the ontology determining the possible worlds under consideration. The paper proceeds by countering the objection that such possible worlds are useless fictions. This is carried out by highlighting three significant areas of application, one in philosophy of science, one in philosophy of religion, and one in the area of epistemology. In general, one may say that, in some language-games, a contradiction can be a useful instrument to attest that rationality goes beyond ratiocination, in other words to indicate that there is more to discourse and practice than what can be expressed in precise algorithmic trees. The upshot of the entire argument is that the proposed ‘containment-account’ of contradiction can be an adequate illustration of how Wittgenstein’s prediction is not sterile, but a possible source of inspiration. (shrink)

Effects of perceived control and close alternative outcomes were examined. Subjects played a computer-simulated "wheel-of-fortune" game with another player in which two wheels spun simultaneously. Subjects had either control over spinning the wheel or control over which wheel would determine their outcome and which would determine the other player's outcome. Results showed that (a) subjects generated counterfactuals about the aspect of the game that they controlled, (b) the direction of these counterfactuals corresponded to the close outcome associated with (...) the aspect they controlled, and (c) close counterfactuals predicted affective responses to the outcome of the wheel spin. Cognitive and motivational implications of the influence of perceived control on counterfactual generation are discussed. (shrink)

During the current financial crisis, the need for an alternative to a laissez-faire ethics of capitalism (the Milton Friedman view) becomes clear. I argue that we need an order ethics which employs economics as a key theoretical resource and which focuses on institutions for implementing moral norms. -/- I will point to some aspects of order ethics which highlight the importance of rules, e.g. global rules for the financial markets. In this regard, order ethics (“Ordnungsethik”) is the complement of the (...) German conception of “Ordnungspolitik” which also stresses the importance of a regulatory framework. This framework is needed not to tame the market, but to make it more profitable in the long run. -/- The conception of order ethics relies heavily on contractarianism, especially on James Buchanan’s work. Unlike many other conceptions of ethics, it does not start with an aim to achieve, but rather with an account of what the social world – in which ethical norms have to be implemented – is like. Our social world is different from the pre-modern one. Pre-modern societies played zero-sum games in which people could only gain significantly at the expense of others. And the types of ethics that we are still used to today have been developed within these pre-modern societies. -/- Modern societies, by contrast, can be characterised – by economists and other social theorists alike – as societies with continuous growth. This growth has only been made possible by the modern competitive market economy which enables everyone to pursue his own interests within a carefully devised institutional system. In this system, positive sum games are played, which makes it in principle possible to improve the position of every individual at the same time. Most kinds of ethics, however, resulting from the conditions of pre-modern societies, ignore the possibility of win-win-situations and instead require us to be moderate, to share, to sacrifice, as this would have been functional in zero-sum games. These conceptions distinguish – in more or less strict ways – between self-interest and altruistic motivation. Self-interest, more often than not, is ultimately seen as something evil. -/- Such an ethics cannot be functional in modern societies. Ethical concepts lag behind. Within zero-sum games, it was necessary to call for temperance, for moderate profits, or for a condemnation of lending money at interest. Within positive-sum games, however, the morally desired result of a social process cannot be brought about by changes in motivation, by switching from ‘egoistic’ to ‘altruistic’ motivation. The second theoretical element introduced by order ethics is the distinction between actions and rules, which was already mentioned. Traditional ethics concerns actions: It calls directly for changes in behaviour. This is a consequence of pre-modern conditions as reconstructed before: People in the pre-modern world were only able to control their actions, not so much however the conditions of their actions. In particular, rules like laws, constitutions, social structures, the market order, and also ethical norms have remained stable for centuries. In modern societies, this situation has changed entirely. The rules governing our actions have increasingly come under our control. -/- In this situation, ethics has to focus on rules. Morality must be incorporated in incentive-compatible rules. Direct calls for changes in behaviour without changes in the rules lead only to an erosion of compliance with moral norms. Individuals that continue to behave ‘morally’ will be singled out, because the incentives have not been changed. Moral norms which are to be justified cannot require people to abstain from pursuing their own advantage. People abstain from taking ‘immoral’ advantages only if adherence to ethical norms yields greater benefits over the planned sequence of actions than defection in the single case. Thus ‘abstaining’ is not abstaining in the long run, it is rather an investment in expectations of long-term benefits. By adhering to ethical norms, I become a reliable partner for interactions. The norms do indeed constrain my actions, but they simultaneously expand my options in interactions. And people consent to rules only if these rules hold greater advantages for them, at least in the long run. -/- In general, ethics cannot require people to abandon their individual calculation of advantages. However, it may suggest improving one’s calculation, by calculating in the long run rather than in the short run, and by taking into account the interests of our fellows, as we depend on their acceptance for reaching an optimal level of well-being, especially in a globalized world full of interdependence. -/- The problem of implementation can now be placed at the beginning of a conception of order ethics, justified with reference to the conditions of modern societies I have sketched. Under the conditions of pre-modern societies, an ethics of temperance had evolved that posed simultaneously the problems of implementation and justification. The implementation of well-justified norms or standards could then be regarded as unproblematic, because the social structures allowed for a direct face-to-face enforcement of norms. Pre-modern societies not only favored an ethics of temperance, they also had the instrument of face-to-face-sanctions within their smaller and non-anonymous communities. This instrument is no longer functional in modern anonymous societies, and so we have to face up to the problem of implementation right at the start of our ethical conception. Simultaneously, an order ethics relies on the implementation of sanctions for enforcing incentive-compatible rules. In modern societies, rules and institutions, to a large extent, must fulfil the tasks that were, in pre-modern times, fulfilled by moral norms, which in turn were sanctioned by face-to-face sanctions. Norm implementation in modern societies thus works by setting adequate incentives in order to prevent the erosion of moral norms, which would happen if ‘moral’ actors were systematically threatened with exploitation by other, less ‘moral’ actors. -/- This conception of order ethics is then elaborated further in the area of business ethics. -/- . (shrink)

Games may seem like a waste of time, where we struggle under artificial rules for arbitrary goals. The author suggests that the rules and goals of games are not arbitrary at all. They are a way of specifying particular modes of agency. This is what make games a distinctive art form. Game designers designate goals and abilities for the player; they shape the agential skeleton which the player will inhabit during the game. Game designers work in the (...) medium of agency. Game-playing, then, illuminates a distinctive human capacity. We can take on ends temporarily for the sake of the experience of pursuing them. Game play shows that our agency is significantly more modular and more fluid than we might have thought. It also demonstrates our capacity to take on an inverted motivational structure. Sometimes we can take on an end for the sake of the activity of pursuing that end. (shrink)

The paper has a twofold aim. On the one hand, it provides what appears to be the first game-theoretic modeling of Napoleon’s last campaign, which ended dramatically on 18 June 1815 at Waterloo. It is specifically concerned with the decision Napoleon made on 17 June 1815 to detach part of his army against the Prussians he had defeated, though not destroyed, on 16 June at Ligny. Military historians agree that this decision was crucial but disagree about whether it was (...) rational. Hypothesizing a zero-sum game between Napoleon and Blücher, and computing its solution, we show that it could have been a cautious strategy on the former's part to divide his army, a conclusion which runs counter to the charges of misjudgement commonly heard since Clausewitz. On the other hand, the paper addresses methodological issues. We defend its case study against the objections of irrelevance that have been raised elsewhere against “analytic narratives”, and conclude that military campaigns provide an opportunity for successful application of the formal theories of rational choice. Generalizing the argument, we finally investigate the conflict between narrative accounts – the historians' standard mode of expression – and mathematical modeling. (shrink)

What is a game? What are we doing when we play a game? What is the value of playing games? Several different philosophical subdisciplines have attempted to answer these questions using very distinctive frameworks. Some have approached games as something like a text, deploying theoretical frameworks from the study of narrative, fiction, and rhetoric to interrogate games for their representational content. Others have approached games as artworks and asked questions about the authorship of games, about the ontology of (...) the work and its performance. Yet others, from the philosophy of sport, have focused on normative issues of fairness, rule application, and competition. The primary purpose of this article is to provide an overview of several different philosophical approaches to games and, hopefully, demonstrate the relevance and value of the different approaches to each other. Early academic attempts to cope with games tried to treat games as a subtype of narrative and to interpret games exactly as one might interpret a static, linear narrative. A faction of game studies, self-described as “ludologists,” argued that games were a substantially novel form and could not be treated with traditional tools for narrative analysis. In traditional narrative, an audience is told and interprets the story, where in a game, the player enacts and creates the story. Since that early debate, theorists have attempted to offer more nuanced accounts of how games might achieve similar ends to more traditional texts. For example, games might be seen as a novel type of fiction, which uses interactive techniques to achieve immersion in a fictional world. Alternately, games might be seen as a new way to represent causal systems, and so a new way to criticize social and political entities. Work from contemporary analytic philosophy of art has, on the other hand, asked questions whether games could be artworks and, if so, what kind. Much of this debate has concerned the precise nature of the artwork, and the relationship between the artist and the audience. Some have claimed that the audience is a cocreator of the artwork, and so games are a uniquely unfinished and cooperative art form. Others have claimed that, instead, the audience does not help create the artwork; rather, interacting with the artwork is how an audience member appreciates the artist's finished production. Other streams of work have focused less on the game as a text or work, and more on game play as a kind of activity. One common view is that game play occurs in a “magic circle.” Inside the magic circle, players take on new roles, follow different rules, and actions have different meanings. Actions inside the magic circle do not have their usual consequences for the rest of life. Enemies of the magic circle view have claimed that the view ignores the deep integration of game life from ordinary life and point to gambling, gold farming, and the status effects of sports. Philosophers of sport, on the other hand, have approached games with an entirely different framework. This has lead into investigations about the normative nature of games—what guides the applications of rules and how those rules might be applied, interpreted, or even changed. Furthermore, they have investigated games as social practices and as forms of life. (shrink)

This paper aims to show that Lessing develops in his aesthetics a pre-Kantian philosophy of consciousness. The concept of virtuality that the german writer puts forward in his essay Laocoon implies an interweaving of temporal dimensions similar to the threefold temporal synthesis described by Kant in the transcendental deduction of the Critique of Pure Reason. But whereas Kant thematizes an a priori of consciousness, Lessing is in search of an a priori of plastic art. It will be seen that perfect (...) sculpture presupposes the choice of that moment in time which can open the imagination to the past and the future in a way that enriches the present by transforming it into a "pregnant moment". The final aim of the article is to trace the genesis of the concept of simultaneity of temporal dimensions presupposed by the idea of the pregnant moment, and its implications for the idea of the temporality of consciousness. (shrink)

Games occupy a unique and valuable place in our lives. Game designers do not simply create worlds; they design temporary selves. Game designers set what our motivations are in the game and what our abilities will be. Thus: games are the art form of agency. By working in the artistic medium of agency, games can offer a distinctive aesthetic value. They support aesthetic experiences of deciding and doing. -/- And the fact that we play games shows something (...) remarkable about us. Our agency is more fluid than we might have thought. In playing a game, we take on temporary ends; we submerge ourselves temporarily in an alternate agency. Games turn out to be a vessel for communicating different modes of agency, for writing them down and storing them. Games create an archive of agencies. And playing games is how we familiarize ourselves with different modes of agency, which helps us develop our capacity to fluidly change our own style of agency. (shrink)

Persons with aphasia suffer from a loss of communication ability as a consequence of a brain injury. A small strand of research indicates effec- tiveness of dialogic interventions for communication development for persons with aphasia, but a vast amount of research studies shows its effectiveness for other target groups. In this paper, we describe the main parts of the hitherto technological development of an application named Dialogica that is (i) aimed at facilitating increased communicative participation in dialogic settings for persons (...) with aphasia and other communication disorders, (ii) based on comput- er game technology as well as on theory in dialogic education and argumenta- tion theory, and (iii) designed for mobile devices with larger screens. (shrink)

How do we prepare engineering students to make ethical and responsible decisions in their professional work? This paper presents an approach that enhances engineering students’ engagement with ethical reasoning by simulating decision-making in a complex scenario. The approach has two principal inspirations. The first is Anthony Weston’s scenario-based teaching. Weston’s concept of a scenario is a situation that changes in response to choices made by participants, according to an inner logic. Scenarios can dynamically explore open-ended complex problems without imposing predetermined (...) results, allowing students to apply their ethical reasoning in a more realistic fashion. The second inspiration is Thi Nguyen’s theory of games. According to Nguyen, games are the “art of agency,” meaning that they provide a structure under which some result is agreed to be valuable, along with prescribed ways of achieving that result, in a relatively low-stakes and temporary social arrangement. By playing many games, Nguyen argues, we can develop a “library of agency,” that is to say, a set of values and means to achieving them that can inform how we make high-stakes decisions in real life. Engaging with carefully designed game scenarios, then, can enable students to practice making ethical decisions within a structured framework, which unfolds in response to their choices, while their decisions are driven by some defined goal. This roleplaying game–based approach thus allows students to build their own ethical libraries of agency, in preparation for professional decision-making. The approach is illustrated using a specific example recently deployed in a seminar on engineered living materials (building materials that incorporate living tissues). The scenario uses techniques from tabletop roleplaying games (e.g. Dungeons & Dragons) for outcome resolution, adventure design, and character creation. Through the game, students practice making difficult decisions in a humanitarian context. (shrink)

This is a reply to Elisabeth Camp's and Elijah Millgram's probing discussions of "Games and the Art of Agency", in a symposium in Journal of Ethics and Social Philosophy. Millgram argues that games cannot function as a guide to life, because they are too different from life. Games are limited in a special way: in life, we deliberate about what goals we want to take on, but in games, the goals are fixed and given to us. Camp argues that there (...) is nothing particularly special about games, because the fluidity of agency is all over ordinary life too - games are just like ordinary life. I respond to Millgram: we do deliberate about our ends, in games, when we aesthetically reflect on which games to play. And I respond to Camp: games are distinctive in the way they regulate how our reasons flow across the game/life border. To respond to these criticisms, I add some substantial new features to my account of the motivational structure of game-play. (shrink)

Alexander of Aphrodisias picks up Aristotle’s insufficient treatment of simultaneous perception and develops an adequate solution for the problem, thereby offering an account of the unity of perceptual consciousness—the single mental activity of a single subject with complex content. I show the adequacy of the solution by using as criteria the requirements that have been identified by Aristotle and approved (and explained) by Alexander. I analyze Alexander’s solution in two turns. First, with respect to heterogeneous perceptibles, Alexander adopts and (...) reformulates Aristotle’s metaphorical account invoking the analogy with a point. Second, with respect to homogeneous opposites, accordingly, perception is judgement, but it involves physical changes in diverse parts of the primary sense-organ. By this account Alexander resolves the issue of the unity of the subject on the level of the capacity of the soul, and coordinates the complexity of content with the complexity on the physical level. In addition to being adequate, the solution is faithful to Aristotle. I suggest that the interpretative decisions Alexander makes (the clarification of the analogy; the reference he finds to the analogy; the two components of the solution, judgement and parts of the organ) form an ingenious extension of Aristotle’s treatment. Interestingly, even though many elements in Alexander’s interpretation are taken up by modern commentators, no one has followed it in its entirety, nor even treated it in its own right. (shrink)

It is plausible that there are epistemic reasons bearing on a distinctively epistemic standard of correctness for belief. It is also plausible that there are a range of practical reasons bearing on what to believe. These theses are often thought to be in tension with each other. Most significantly for our purposes, it is obscure how epistemic reasons and practical reasons might interact in the explanation of what one ought to believe. We draw an analogy with a similar distinction between (...) types of reasons for actions in the context of activities. The analogy motivates a two-level account of the structure of normativity that explains the interaction of correctness-based and other reasons. This account relies upon a distinction between normative reasons and authoritatively normative reasons. Only the latter play the reasons role in explaining what state one ought to be in. All and only practical reasons are authoritative reasons. Hence, in one important sense, all reasons for belief are practical reasons. But this account also preserves the autonomy and importance of epistemic reasons. Given the importance of having true beliefs about the world, our epistemic standard typically plays a key role in many cases in explaining what we ought to believe. In addition to reconciling (versions of) evidentialism and pragmatism, this two-level account has implications for a range of important debates in normative theory, including the interaction of right and wrong reasons for actions and other attitudes, the significance of reasons in understanding normativity and authoritative normativity, the distinction between ‘formal’ and ‘substantive’ normativity, and whether there is a unified source of authoritative normativity. (shrink)

This article explores the nature and theoretical import of a hitherto neglected class of fictions which we term ‘self-involving interactive fictions’. SIIFs are interactive fictions, but they differ from standard examples of interactive fictions by being, in some important sense, about those who consume them. In order to better understand the nature of SIIFs, and the ways in which they differ from other fictions, we focus primarily on the most prominent example of the category: video-game fictions. We argue that (...) appreciating the self-involving nature of video-game fictions is key to understanding various otherwise puzzling phenomena concerning the ways in which consumers respond to them. Video-game fictions are, however, far from being the only extant example of this class; and we suggest that the recent philosophical interest in video games would be better focused on the wider class of self-involving interactive fictions. (shrink)

Game theorists tend to model climate negotiations as a so-called ‘tragedy of the commons’. This is rather worrisome, since the conditions under which such commons problems have historically been solved are almost entirely absent in the case of international greenhouse gas emissions. In this paper, I will argue that the predictive accuracy of the tragedy model might not stem from the model’s inherent match with reality but rather from the model’s ability to make self-fulfilling predictions. I then sketch some (...) possible ways to dispel the tragedy, including (1) recognizing some ways the assumptions of the model fail, (2) taking seriously recent work suggesting that increasing greenhouse gas emissions is not in most nations’ own self-interest, and (3) preferring alternative models like collective risk dilemmas, bargaining games, or cooperative models. (shrink)

A dialogue arguing that morality has an objective basis in the mathematical object describing the "tit for tat" game theory. To play the game, a contractual obligation is freely made to cooperate and to fairly distribute the gains. Failure to meet these obligations results in social punishment.

Using Bernard Suits’s brilliant analysis (contra Wittgenstein) of playing a game, this paper examines the intrinsic value of game-playing. It argues that two elements in Suits’s analysis make success in games difficult, which is one ground of value, while a third involves choosing a good activity for the property that makes it good, which is a further ground. The paper concludes by arguing that game-playing is the paradigm modern (Marx, Nietzsche) as against classical (Aristotle) value: since its (...) goal is intrinsically trivial, its value is entirely one of process rather than product, journey rather than destination. (shrink)

contents -/- i. a game we can't abstain from ii. a sudden God, a Boltzmann God iii. the Hard Problem & Humean causation iv. Turing gave a recipe for consciousness v. the Honeymoon Algorithm vi. Tech Civ takes Earth in vii. Borges, the Compressor viii. Hollywood, where faeries enter ix. in the age of Macbeth, magic x. from King to this vile politician xi. Medieval blue not our color blue xii. the austerities prioritize braingrowth xiii. taste is tactile xiv. (...) if God is a Drama Lord xv. the Hero-Dragon story must be realized. (shrink)

There are well-known problems for formalist accounts of game-play with regards to cheating. Such accounts seem to be committed to cheaters being unable to win–or even play–the game, yet it seems that there are instances of cheaters winning games. In this paper, I expand the discussion of such problems by introducing cases of pre-game cheating, and see how a formalist–specifically a Suitsian–account can accommodate such problems. Specifically, I look at two (fictional) examples where the alleged game-players (...) cheat prior to a game-instance in such as a way as to cast doubt on whether the alleged game-players are truly playing the game. To escape the worries brought about by these examples of pre-game cheating, I will appeal to the concept of nested games. This concept will give us the needed tools to explain how the alleged players are cheating and how the alleged players are players. On the whole, this discussion should help illuminate some important issues with regards to cheating and rules on a Suitsian account of game-play, and help give support for formalist accounts more generally. (shrink)

Is capitalism inherently predatory? Must there be winners and losers? Is public interest outdated and free-riding rational? Is consumer choice the same as self-determination? Must bargainers abandon the no-harm principle? Prisoners of Reason recalls that classical liberal capitalism exalted the no-harm principle. Although imperfect and exclusionary, modern liberalism recognized individual human dignity alongside individuals' responsibility to respect others. Neoliberalism, by contrast, views life as ceaseless struggle. Agents vie for scarce resources in antagonistic competition in which every individual seeks dominance. This (...) political theory is codified in non-cooperative game theory; the neoliberal citizen and consumer is the strategic rational actor. Rational choice justifies ends irrespective of means. Money becomes the medium of all value. Solidarity and good will are invalidated. Relationships are conducted on a quid pro quo basis. However, agents can freely opt out of this cynical race to the bottom by embracing a more expansive range of coherent action. (shrink)

On Bernard Suits’s celebrated analysis, to play a game is to engage in a ‘voluntary attempt to overcome unnecessary obstacles’. Voluntariness is understood in terms of the players having the ‘lusory attitude’ of accepting the constitutive rules of the game just because they make possible playing it. In this paper I suggest that the players in Netflix’s hit show Squid Game play the ‘squid games’, but they do not do so voluntarily; they are forced to play. I (...) argue that this means that we should rethink Suits’s analysis by claiming that all that is needed for players to play is that someone has put the rules in force for them for the reason that it makes playing the game possible. I then illustrate the virtues of the revised analysis by showing how it helps us to defuse Hurka’s recent counterexamples to Suits’s view. (shrink)

Do famous athletes have special obligations to act virtuously? A number of philosophers have investigated this question by examining whether famous athletes are subject to special role model obligations (Wellman 2003; Feezel 2005; Spurgin 2012). In this paper we will take a different approach and give a positive response to this question by arguing for the position that sport and gaming celebrities are ‘ambassadors of the game’: moral agents whose vocations as rule-followers have unique implications for their non-lusory lives. (...) According to this idea, the actions of a game’s players and other stakeholders—especially the actions of its stars—directly affect the value of the game itself, a fact which generates additional moral reasons to behave in a virtuous manner. We will begin by explaining the three main positions one may take with respect to the question: moral exceptionalism, moral generalism, and moral exemplarism. We will argue that no convincing case for moral exemplarism has thus far been made, which gives us reason to look for new ways to defend this position. We then provide our own ‘ambassadors of the game’ account and argue that it gives us good reason to think that sport and game celebrities are subject to special obligations to act virtuously. (shrink)

This is my reply to commentators in the symposium on my book, GAMES: AGENCY AS ART. The symposium features commentary by Thomas Hurka, Quill Kukla, and Alva Noe, and originally appeared in Analysis 81 (2).

We show that true colors as defined by Chevreul (1839) produce unsuspected simultaneous brightness induction effects on their immediate grey backgrounds when these are placed on a darker (black) general background surrounding two spatially separated configurations. Assimilation and apparent contrast may occur in one and the same stimulus display. We examined the possible link between these effects and the perceived depth of the color patterns which induce them as a function of their luminance contrast. Patterns of square-shaped inducers of (...) a single color (red, green, blue, yellow, or grey) were placed on background fields of a lighter and a darker grey, presented on a darker screen. Inducers were always darker on one side of the display and brighter on the other in a given trial. The intensity of the grey backgrounds varied between trials only. This permitted generating four inducer luminance contrasts, presented in random order, for each color. Background fields were either spatially separated or consisted of a single grey field on the black screen. Experiments were run under three environmental conditions: dark-adaptation, daylight, and rod-saturation after exposure to bright light. In a first task, we measured probabilities of contrast, assimilation, and no effect in a three-alternative forced-choice procedure (background appears brighter on the ‘left’, on the ‘right’ or the ‘same’). Visual adaptation and inducer contrast had no significant influence on the induction effects produced by colored inducers. Achromatic inducers produced significantly stronger contrast effects after dark-adaptation, and significantly stronger assimilation in daylight conditions. Grouping two backgrounds into a single one was found to significantly decrease probabilities of apparent contrast. Under the same conditions, we measured probabilities of the inducers to be perceived as nearer to the observer inducers. These, as predicted by Chevreul’s law of contrast, were determined by the luminance contrast of the inducers only, with significantly higher probabilities of brighter inducers to be seen as nearer, and a marked asymmetry between effects produced by inducers of opposite sign. Implications of these findings for theories which attempt to link simultaneous induction effects to the relative depth of object surfaces in the visual field are discussed. (shrink)

In Book 1 of Plato’s Republic, Thrasymachus contends two major claims: (1) justice is the advantage of the stronger, and (2) justice is the good of the other, while injustice is to one’s own profit and advantage. In the beginning of Book II, Glaucon self-proclaims that he will be representing Thrasymachus’ claims in a better way, and provides a story of how justice has originated from a state of nature situation. However, Glaucon’s story of the origin of justice has an (...) implication that justice is the advantage of the weak rather than the stronger. This is inconsistent with Thrasymachus’ first claim which states that justice is the advantage of the stronger. This is a problem for Glaucon since Glaucon is supposed to be representing Thrasymachus’ original claims in a better way. In this paper, I provide two solutions to this puzzle with the help of elementary game theory. (shrink)

Many philosophers think that games like chess, languages like English, and speech acts like assertion are constituted by rules. Lots of others disagree. To argue over this productively, it would be first useful to know what it would be for these things to be rule-constituted. Searle famously claimed in Speech Acts that rules constitute things in the sense that they make possible the performance of actions related to those things (Searle 1969). On this view, rules constitute games, languages, and speech (...) acts in the sense that they make possible playing them, speaking them and performing them. This raises the question what it is to perform rule-constituted actions (e. g. play, speak, assert) and the question what makes constitutive rules distinctive such that only they make possible the performance of new actions (e. g. playing). In this paper I will criticize Searle’s answers to these questions. However, my main aim is to develop a better view, explain how it works in the case of each of games, language, and assertion and illustrate its appeal by showing how it enables rule-based views of these things to respond to various objections. (shrink)

What can the philosophy of agency learn from Nguyen’s book on games? The most important lesson concerns, to use Nguyen’s terms, the ‘layered’ structure of our agency and the ‘fluidity’ requ...

I offer two potential diagnoses of the behavioral norms governing post‐truth politics by comparing the view of language, communication, and truth‐telling put forward by David Lewis (extended by game theorists), and John Searle. My first goal is to specify the different ways in which Lewis, and game theorists more generally, in contrast to Searle (in the company of Paul Grice and Jurgen Habermas), go about explaining the normativity of truthfulness within a linguistic community. The main difference is that (...) for Lewis and game theorists, “truthful” signaling follows from an align- ment of interests, and deception follows from mixed motives leading to the calculation that sending false information is better for oneself. Following in the Enlightenment tradition, Searle argues that practical reasoning, which involves mastery of at least one language, requires that actors intend to communicate. This intention includes constraining the content of statements to uphold veracity conditions. After distinguishing between these two accounts, I will artic- ulate the implications for explaining, and even informing actions, constitutive of post‐truth politics. I argue that the strategic view of communication is suffi- cient neither to model everyday conversation nor to reflect a public sphere useful for democratic govern- ment. Both the pedagogy of strategic communication as cheap talk, and its concordance with new digital information technologies, challenge norms of truthful- ness that underlie modern institutions essential to an effective public sphere. (shrink)

We perform an experimental investigation using a dictator game in which individuals must make a moral decision —to give or not to give an amount of money to poor people in the Third World. A questionnaire in which the subjects are asked about the reasons for their decision shows that, at least in this case, moral motivations carry a heavy weight in the decision: the majority of dictators give the money for reasons of a consequentialist nature. Based on the (...) results presented here and of other analogous experiments, we conclude that dicator behavior can be understood in terms of moral distance rather than social distance and that it systematically deviates from the egoism assumption in economic models and game theory. (shrink)

We propose that all actual causes are simultaneous with their direct effects, as illustrated by both everyday examples and the laws of physics. We contrast this view with the sequential conception of causation, according to which causes must occur prior to their effects. The key difference between the two views of causation lies in differing assumptions about the mathematical structure of time.

In previous work I’ve defended an interest-relative theory of belief. This paper continues the defence. It has four aims. -/- 1. To offer a new kind of reason for being unsatis ed with the simple Lockean reduction of belief to credence. 2. To defend the legitimacy of appealing to credences in a theory of belief. 3. To illustrate the importance of theoretical, as well as practical, interests in an interest-relative account of belief. 4. To revise my account to cover propositions (...) that are practically and theoretically irrelevant to the agent. (shrink)

The emergence of the need for orientation since the past times led the universities to invent innovative ways to prepare their students for the activities and courses they will face. Hence, various types of orientation have been provided during history. However, today with the outbreak of the Covid-19 and the closure of the schools, most of the students are continuing their studies as distance learning. While this situation is very disappointing for all freshmen students who do not know the university's (...) atmosphere, it is extremely disruptive, specifically for the design ones, which are passing tactile courses, demanding being held face to face. This ascertains the research's problem as a need for an interactive solution for the issue to lessen the consequent problems. Game-based orientation (GBO) is a tool, engaging the freshmen students as players with the provided data in it, which are the essentials for a novel student to know before entering the university. It allows the student to be dealt with the school services, Istanbul Technical University in this case, and use them in terms of the game's tasks. The scoring system, the ultimate certificate, the leaderboard leading them to prizes, and the game's non-linearity will attract the students to use GBO frequently to finish it and experience all the possible scenarios. (shrink)

A philosophical theory of explanation should provide solutions to a series of problems, both descriptive and normative. The aim of this essay is to establish the claim that this can be best done if one theorizes in terms of explanatory games rather than focusing on the explication of the concept of explanation. The position that is adopted is that of an explanatory pluralism and it is elaborated in terms of the rules that incorporate the normative standards that guide the processes (...) of discovery and justification of explanations as well as the modes of their communication, dissemination, and adoption. They constitute the rules of the explanatory game that the participants are playing. The philosophical project consists in describing and normatively appraising the rules that constitute these games. (shrink)

Increase in popularity of games like "Second Life" has contributed not only to significant changes in the development of the electronic entertainment industry. Promoting Games 2.0, the new trend of video game production that are assumed to be the virtual worlds that contain user-generated content makes both measured with a specific technological innovation, as well as a serious change in the organization of socio-cultural heritage. The article presents problems of the existing difficulties of terminology, the implications of the availability (...) of Games 2.0 for social life, the concept of leisure as work in the new economy and creative non-material and the characteristics of "Generation C". Work stresses the need for discussion on trends in the development of video games - defined as a choice between the projects’ of "socio-cultural ideology of perpetual motion" and "utopia of universal creativity". These approaches allow to identify the methodological basis for analysis of relations between the operators and users of Games 2.0, taking into account the wider social environment. ** Wzrost popularności gier typu „Second Life” przyczynił siȩ nie tylko do znacznych przemian w rozwoju branży rozrywki elektronicznej. Upowszechnianie Games 2.0, nowego nurtu produkcji gier wideo które z założenia maj¸a} stanowić wirtualne światy zawieraj¸a}ce treści tworzone przez użytkowników sprawia, że mierzymy siȩ zarówno z określon¸a} innowacj¸a} technologiczn¸a}, jak też z poważn¸a} zmian¸a} organizacji życia społeczno-kulturowego. Artykuł przedstawia problematykȩ istniej¸acych trudności terminologicznych, konsekwencje dostȩpności Games 2.0 dla życia społecznego, pojȩcie rozrywki jako pracy w nowej gospodarce niematerialnej i twórczej oraz charakterystykȩ „generacji C”. Praca podkreśla potrzebȩ dyskusji nad kierunkami rozwoju gier wideo - określanymi jako wybór miȩdzy projektami „ideologii społeczno-kulturowego perpetuum mobile” i „utopii powszechnej twórczości”. Podejścia te pozwalaj¸a na wskazanie podstaw metodologicznych do prowadzenia analiz relacji miȩdzy operatorami, a użytkownikami Games 2.0 przy uwzglȩdnieniu szerszego otoczenia społecznego. (shrink)

In this work it is shown how absolute simultaneity of spatially distinct events can be established by means of a general criterion based on isotropically propagating signals and how it can be consistently preserved also when operating with Lorentz-like coordinate transformations between moving frames. The specific invariance properties of these transformations of coordinates are discussed, leading to a different interpretation of the physical meaning of the transformed variables with respect to their prevailing interpretation when associated with the Lorentz transformation. On (...) these basis, the emission hypothesis of W. Ritz is then applied to justify the outcomes of the Fizeau experiment, thanks to the introduction of an additional hypothesis regarding the influence of turbulence on the refractive index of the moving fluid. Finally, a test case to investigate the validity of either the Galilean or the Relativistic velocity composition rule is presented. Such test relies on the aberration of the light coming from celestial objects due to the motion of the observer, and on the analysis of the results obtained by applying the two different formulas to process the data of the observed positions, as measured in the moving frame, in order to determine the actual un-aberrated location of the source. (shrink)

While social geographers have convincingly made the case that space is not an external constant, but rather is produced through inter-relations, anthropologists and sociologists have done much to further an understanding of time, as itself constituted through social interaction and inter-relation. Their work suggests that time is not an apolitical background to social life, but shapes how we perceive and relate to others. For those interested in exploring issues such as identity, community and difference, this suggests that attending to how (...) temporal discourses are utilised in relation to these issues is a key task. This article seeks to contribute to an expansion of the debate about time and sociality by contributing an analysis of a variety of ways in which Gloria Anzaldúa utilises temporal concepts as part of her work of rethinking social identity and community. In particular, I suggest that in contesting homogeneous identity, Anzaldúa also implicitly contests linear temporal frameworks. Further, in creating new frameworks for identity, I suggest the possibility of discerning an alternative approach to time in her work that places difference at the heart of simultaneity. I suggest that the interconnection between concepts of time and community within Anzaldúa’s work indicates, more broadly, that attempts to rework understandings of relationality must be accompanied by reworked accounts of temporality. (shrink)

Salience reasoning, many have argued, can help solve coordination problems, but only if such reasoning is supplemented by higher-order predictions, e.g. beliefs about what others believe yet others will choose. In this paper, I will argue that this line of reasoning is self-undermining. Higher-order behavioral predictions defeat salience-based behavioral predictions. To anchor my argument in the philosophical literature, I will develop it in response and opposition to the popular Lewisian model of salience reasoning in coordination games. This model imports the (...) problematic higher-order beliefs by way of a ‘symmetric reasoning’ constraint. In the second part of this paper, I will argue that a player may employ salience reasoning only if she suspends judgment about what others believe yet others will do. (shrink)

We propose a formal framework for interpretable machine learning. Combining elements from statistical learning, causal interventionism, and decision theory, we design an idealised explanation game in which players collaborate to find the best explanation for a given algorithmic prediction. Through an iterative procedure of questions and answers, the players establish a three-dimensional Pareto frontier that describes the optimal trade-offs between explanatory accuracy, simplicity, and relevance. Multiple rounds are played at different levels of abstraction, allowing the players to explore overlapping (...) causal patterns of variable granularity and scope. We characterise the conditions under which such a game is almost surely guaranteed to converge on a optimal explanation surface in polynomial time, and highlight obstacles that will tend to prevent the players from advancing beyond certain explanatory thresholds. The game serves a descriptive and a normative function, establishing a conceptual space in which to analyse and compare existing proposals, as well as design new and improved solutions. (shrink)

Games of chance are developed in their physical consumer-ready form on the basis of mathematical models, which stand as the premises of their existence and represent their physical processes. There is a prevalence of statistical and probabilistic models in the interest of all parties involved in the study of gambling – researchers, game producers and operators, and players – while functional models are of interest more to math-inclined players than problem-gambling researchers. In this paper I present a structural analysis (...) of the knowledge attached to mathematical models of games of chance and the act of modeling, arguing that such knowledge holds potential in the prevention and cognitive treatment of excessive gambling, and I propose further research in this direction. (shrink)

A generalization of the standard n-person game is presented, with flexible information requirements suitable for players constrained by bounded rationality. Strategies (complete contingency plans) are replaced by "policies," i. e., end-mean pairs of candidate goals and "controls" (partial contingency plans). The existence of individual objective functions over the joint policy choice set is axiomatized in terms of primitive preference and probability orders. Conditions are given for the existence of pure policy Nash equilibrium points in n-person games, and pure policy (...) Nash bargaining and equilibrium threat solutions in 2-person policy games. Connectedness of the policy and payoff sets is not required. (shrink)

We present a game mechanic called pseudo-visibility for games inhabited by non-player characters (NPCs) driven by reinforcement learning (RL). NPCs are incentivized to pretend they cannot see pseudo-visible players: the training environment simulates an NPC to determine how the NPC would act if the pseudo-visible player were invisible, and penalizes the NPC for acting differently. NPCs are thereby trained to selectively ignore pseudo-visible players, except when they judge that the reaction penalty is an acceptable tradeoff (e.g., a guard might (...) accept the penalty in order to protect a treasure because losing the treasure would hurt even more). We describe an RL agent transformation which allows RL agents that would not otherwise do so to perform some limited self-reflection to learn the training environments in question. (shrink)

The bi-polar confrontation between the Soviet Union and the USA involved many leading game theorists from both sides of the Iron Curtain: Oskar Morgenstern, John von Neumann, Michael Intriligator, John Nash, Thomas Schelling and Steven Brams from the United States and Nikolay Vorob’ev, Leon A. Petrosyan, Elena B. Yanovskaya and Olga N. Bondareva from the Soviet Union. The formalization of game theory took place prior to the Cold War but the geopolitical confrontation hastened and shaped its evolution. In (...) our article we outline four similarities and differences between Western GT and Soviet GT: 1) the Iron Curtain resulted in a lagged evolution of GT in the Soviet Union; 2) Soviet GT focused more on operations research and issues of centralized planning; 3) the contemporary Western view on Soviet GT was biased and Soviet contributions, including works on dynamic stability, non-emptiness of the core and many refinements, suggest that Soviet GT was able to catch up to the Western level relatively fast; 4) international conferences, including Vilnius, 1971, fostered interaction between Soviet game theorists and their Western colleagues. In general, we consider the Cold War to be a positive environment for GT in the West and in the Soviet Union. (shrink)

This dissertation is a discussion of Wittgenstein's later philosophy. In it, Wittgenstein's answer to the "going on problem" will be presented: I will give his reply to the skeptic who denies that rule-following is possible. Chapter One will describe this problem. Chapter Two will give Wittgenstein's answer to it. Chapter Three will show how Wittgenstein used this answer to give the standards of mathematics. Chapter Four will compare Wittgenstein's answer to the going on problem to Plato's. Chapter Five will describe (...) Kant's influence on Wittgenstein's later philosophy. The leitmotif of these chapters will be that the way human beings apply a rule is the source of justification for its application. 1. (shrink)