This article introduces a strategic decision-game theoretic approach, the Pardoner’s Dilemma, and juxtaposes it with the Prisoner’s Dilemma. Game theory has emerged as a significant approach in the twentieth century for explaining strategic decision-making in numerous arenas, including economics, business, politics, ethics, international relations, biology, law, and war studies. ‘Game theory’ explains how and why players/actors/agents cooperate or conflict to procure their self-interests in a social world. Life is a game, and human, corporate, and artificial intelligent agents are players (...) who play different games to maximise utility or minimise disutility. The Prisoner’s Dilemma is a promising game-theoretic approach that explains strategic decision-making in zero-sum and non-zero-sum games. ‘Strategic decision-making’ means that the outcome does not depend upon the actions of a player but upon all players. There are numerous essential game strategies, including tossing, negotiation, bargaining, balloting, competition, chance, power, and arbitration. Although the Prisoner’s Dilemma is a good game-theoretic approach, it does not allow players to use the key game strategies. In contrast, Pardoner’s Dilemma is a game theoretic approach that not only explains zero-sum and non-zero-sum games but also allows the players to use different game strategies, such as negotiation, bargaining, tossing, chance, balloting, competition, arbitration, and power. The article develops and defends the Pardoner’s Dilemma in the game-theoretic approach as an alternative to the Prisoner’s Dilemma. The article claims that the Pardoner’s Dilemma is a more promising approach than the Prisoner’s Dilemma in the decision-game theoretic framework. By introducing the Pardoner’s Dilemma, the article enhances the scope of decision/game theory in social sciences. (shrink)

Hobbes postulates a social contract to formalize our collective transition from the state of nature to civil society. The prisoner’s dilemma challenges both the mechanics and the outcome of that thought experiment. The incentives for reneging are supposedly strong enough to keep rational persons from cooperating. This paper argues that the prisoner’s dilemma undermines a position Hobbes does not hold. The context and parameters of the social contract steer it safely between the horns of the dilemma. Specifically, in (...) a setting as hostile as the state of nature, Hobbes’s emphasis on self-interest places a premium on survival, and thereby on adaptability, which then promotes progressive concessions toward peaceful coexistence. This transforms the relevant model of rationality from utility maximization to utility satisficing, thus favoring the pursuit of a mutually satisfactory outcome over that of the best personal outcome. The difference not only obviates the prisoner’s dilemma but also better approximates the state of nature while leaving a viable way out. (shrink)

As these opening quotes acknowledge, the Prisoner’s Dilemma (PD) represents a core puzzle within the formal mathematics of game theory.3 Its rise in conspicuity is evident figure 2.1 above demonstrating a relatively steady rise in incidences of the phrase’s usage between 1960 to 1995, with a stable presence persisting into the twenty first century. This famous two-person “game,” with a stock narrative cast in terms of two prisoners who each independently must choose whether to remain silent or speak, each advancing (...) self-interest at the expense of the other and thereby achieving a mutually suboptimal outcome, mires any social interaction it is applied to into perplexity. The logic of this game proves the inverse of Adam Smith’s invisible hand: individuals acting on self interest will achieve a mutually suboptimal outcome. However, as this chapter illuminates, the assumptions underlying game theory drive this conclusion. (shrink)

Many of the problems we face can usefully be modeled as prisoners’ dilemmas. All the standard game-theoretic solutions to prisoners’ dilemmas lead, in the real world, to assurance games. But too often some aspects of our social interaction are as much obscured by, as illuminated by, game theory. Removing some of the epistemic constraints often accepted by game theorists will enable us to distinguish between productive and destructive prisoners’ dilemmas. Doing so is an important step in understanding the nature (...) of some of our social problems. (shrink)

We make the case that the Prisoner’s Dilemma, notwithstanding its fame and the quantity of intellectual resources devoted to it, has largely failed to explain any phenomena of social scientific or biological interest. In the heart of the paper we examine in detail a famous purported example of Prisoner’s Dilemma empirical success, namely Axelrod’s analysis of WWI trench warfare, and argue that this success is greatly overstated. Further, we explain why this negative verdict is likely true generally and not (...) just in our case study. We also address some possible defenses of the Prisoner’s Dilemma. (shrink)

This paper tries to answer the question why the epistemic value of so many social simulations is questionable. I consider the epistemic value of a social simulation as questionable if it contributes neither directly nor indirectly to the understanding of empirical reality. To examine this question, two classical social simulations are analyzed with respect to their possible epistemic justification: Schelling’s neighborhood segregation model and Axelrod’s reiterated Prisoner’s Dilemma simulations of the evolution of cooperation. It is argued that (...) Schelling’s simulation is useful because it can be related to empirical reality, while Axelrod’s simulations and those of his followers cannot and thus that their scientific value remains doubtful. I relate this findingto the background beliefs of modelers about the superiority of the modeling method as expressed in Joshua Epstein’s keynote address “Why model?”. (shrink)

Universal social institutions, such as marriage, commons management and property, have emerged independently in radically different cultures. This requires explanation. As Boyer and Petersen point out ‘in a purely localist framework would have to constitute massively improbable coincidences’ . According to Boyer and Petersen, those institutions emerged naturally out of genetically wired behavioural dispositions, such as marriage out of mating strategies and borders out of territorial behaviour. While I agree with Boyer and Petersen that ‘unnatural’ institutions cannot thrive, this (...) one-sided explanation of universal social institutions in terms of genetic human nature is unsatisfactory. Drawing on the literature on multi-level selection and gene-culture coevolution, I argue that universal social institutions are first and foremost the products of cultural selection. They occupy fitness peaks in the landscape of cultural possibilities, much in the same way that biological adaptations occupy fitness peaks in the landscape of biological possibilities. To show this, I use game-theory. By modelling the domains of social interaction in which marriage, commons management, and property emerged as Prisoner’s dilemma situations, it becomes clear how an institutional framework allows the group to move to an interactive equilibrium with a larger payoff. Institutions do so by incentivising all parties to adopt a cooperative strategy. They are culturally selected ways of optimising genetically constrained domains of human social interaction. (shrink)

The iterated Prisoner’s Dilemma has become the standard model for the evolution of cooperative behavior within a community of egoistic agents, frequently cited for implications in both sociology and biology. Due primarily to the work of Axelrod (1980a, 198Ob, 1984, 1985), a strategy of tit for tat (TFT) has established a reputation as being particularly robust. Nowak and Sigmund (1992) have shown, however, that in a world of stochastic error or imperfect communication, it is not TFT that finally triumphs in (...) an ecological model based on population percentages (Axelrod and Hamilton 1981), but ‘generous tit for tat’ (GTFT), which repays cooperation with a probability of cooperation approaching 1 but forgives defection with a probability of l/3. In this paper, we consider a spatialized instantiation of the stochastic Prisoner’s Dilemma, using two-dimensional cellular automata (Wolfram, 1984, 1986; Gutowitz, 1990) to model the spatial dynamics of populations of competing strategies. The surprising result is that in the spatial model it is not GIFT but still more generous strategies that are favored. The optimal strategy within this spatial ecology appears to be a form of ‘bending over backwards’, which returns cooperation for defection with a probability of 2/3 - a rate twice as generous as GTFT. (shrink)

In this Article, I propose a novel law and economics explanation of a deeply puzzling aspect of business organization in market economies. Why are virtually all firms organized as capital-managed and -owned (capitalist) enterprises rather than as labor-managed and -owned cooperatives? Over 150 years ago, J.S. Mill predicted that efficiency and other advantages would eventually make worker cooperatives predominant over capitalist firms. Mill was right about the advantages but wrong about the results. The standard explanation is that capitalist enterprise is (...) more efficient. Empirical research, however, overwhelmingly contradicts this. But employees almost never even attempt to organize worker cooperatives. I critique the explanations of the three leading analysts of the subject (N. Scott Arnold, Henry Hansmann, and Gregory Dow), all of whom offer are different transactions cost accounts, as logically defective and empirically inadequate. I then propose an explanation that has been oddly neglected in the literature, that the rarity of cooperatives is explained by the collective action problem identified by writers such as Mancur Olson. Labor management is a public good that generates the n-person prisoner’s dilemma which gives rational actors the incentive to create it in suboptimal (or no) amounts. I support this by reference to the empirical facts about the origin of existing cooperatives and show that this explanation requires no strong version of a questionable rational choice theory. This explanation is supplemented by the mere exposure or familiarity effect derived from social and cognitive psychology, which turns on the fact that labor managed firms are rare, in part because of the public goods problem, thus unfamiliar, which makes them less attractive and thus more likely to be rare. My account points advocates of labor management towards solutions such as institutional changes in incentives, which, however, themselves involve public goods issues. (shrink)

Robert Nozick, in chapter two of the nature of rationality, proposes two famous problems in decision theory (i.e., Newcomb's problem and Prisoner Dilemma) and two main strategies toward these problems i.e. dominant strategy and dominated or cooperative one. He will try to give a formal principles to calculate the decision values in these situations. In this calculation he goes beyond the standard principle of maximizing expected utility and would try to put forth less ideal and more realistic principles that fit (...) the decision situation in the real world. (shrink)

This paper reviews six attempts to give cooperative solutions to Prisoners Dilemmas: symmetry (agents are in identical situations, so should choose the same way, so should both choose cooperation because that’s better for each), mechanism (each agent should delegate the decision to a machine which will choose cooperation for them provided the other does likewise), inducement (the agents should make a side bet which pays off only upon both cooperating), resolution (each agent should resolve to cooperate, then act on the (...) resolution), alternative principle (rationality requires not dominance reasoning and so defecting, but constrained maximization or resolution compliance or “sophisticated” choosing, and so cooperation), and preference revision (each agent should acquire conditional preferences to cooperate, then cooperate provided the other agent has acquired similar preferences). It distinguishes one-stage from two-stage games, as well as endogenously available solutions (ones available to agents in the circumstances of the game merely due to the nature of rationality) from solutions requiring exogenous devices. It contrasts Edward McClennen’s endogenous solution, which is some combination of resolution and alternative principle solution, with David Gauthier’s endogenous alternative principle solution. It argues that all have problems, ones best solved by the endogenous preference revision solution defended by Duncan MacIntosh. (shrink)

Plea bargains are the stock-in-trade of the modern American prosecutor’s office. The basic scenario, wherein a defendant agrees to plea guilty in exchange for a reduced sentence, is familiar to viewers of police procedurals. In an equally famous variation on the theme, the prosecutor requests something more than an admission of guilt: leniency will only be forthcoming if the defendant is willing to cooperate with the prosecutor in securing the conviction of another suspect. In some of these cases, the defendant (...) is a low-level criminal who has information on a high-level malefactor who is of more interest to the police. In others, the defendant and the person she is asked to testify against are of the same criminal rank, but evidentiary weaknesses induce the prosecutor to seek the aid of one suspect in order to convict the other. In this latter version, the classic tactic of film detectives is to offer the bargain to both defendants in the hopes that one will crack and agree to reveal what he knows about the other. The defendants could either be in custody for different crimes or be accomplices in the same offense. -/- The last variation (involving accomplices) is the subject of this Article. I take issue with the prosecutorial tactics in these cases because of the risk they create of punishing the comparatively virtuous person more than the comparatively vicious one for the same acts. As I will argue, it is the less honest person who is more likely to accept the prosecutor’s deal, leading the more honest person, who resisted temptation, to suffer greater penalties. -/- I contend that this scenario offends distributive justice, runs counter to the idea (accepted by some) that a proper goal of the state is the cultivation of good character in the citizenry, and is perverse insofar as a person will suffer more from the prosecutor's dilemma insofar as she is more or less a person of conscience. These negative considerations notwithstanding, I do not call for the abolition of accomplice plea bargaining but argue that the problems I raise should be considered when weighing its pros and cons. -/- This article was published in the company of a strong critical response by Guha Krishnamurthi, whose contribution I greatly appreciate. (shrink)

Simulation models of the Reiterated Prisoner's Dilemma have been popular for studying the evolution of cooperation since more than 30 years now. However, there have been practically no successful instances of empirical application of any of these models. At the same time this lack of empirical testing and confirmation has almost entirely been ignored by the modelers community. In this paper, I examine some of the typical narratives and standard arguments with which these models are justified by their authors (...) despite the lack of empirical validation. I find that most of the narratives and arguments are not at all compelling. None the less they seem to serve an important function in keeping the simulation business running despite its empirical shortcomings. (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)

Simulation models of the Reiterated Prisoner's Dilemma have been popular for studying the evolution of cooperation since more than 30 years now. However, there have been practically no successful instances of empirical application of any of these models. At the same time this lack of empirical testing and confirmation has almost entirely been ignored by the modelers community. In this paper, I examine some of the typical narratives and standard arguments with which these models are justified by their authors (...) despite the lack of empirical validation. I find that most of the narratives and arguments are not at all compelling. None the less they seem to serve an important function in keeping the simulation business running despite its empirical shortcomings. (shrink)

This article compares James M. Buchanan's and John Rawls's theories of democratic governance. In particular it compares their positions on the characteristics of a legitimate social contract. Where Buchanan argues that additional police force can be used to quell political demonstrations, Rawls argues for a social contract that meets the difference principle.

This article examines the prisoner's dilemma paradox and argues that confessing is the rational choice, despite this probably entailing a less-than-ideal outcome.

This review of Richard Tuck's Free Riding conveys Tuck's crucial distinction between the logic of collective action which fails due to the problem of causal negligibility, and free riding, which has been modeled as a Prisoner's Dilemma and involves casually impacting another actor in an adverse manner. Tuck also distinguishes the practice of voting which he argues neither fails due to the worry of causal negligibility or due to free riding; instead it represents a problem of achieving sufficiency of (...) votes representing a minimum winning coalition. This article clarifies how the problem of collective action resembles perfect free market competition which is defined to be characterized by a state in which no single agent can impact the price of a good. Similarly, in a large scale collective action, no single actor can have a causal impact on the outcome of the vast enterprise. This inability to make a difference due to the negligibility of each individual's causal power differentiates collective action and the tragedy of the commons from other social problems. (shrink)

"For that which is common to the greatest number has the least care bestowed upon it. Every one thinks chiefly of his own, hardly at all of the common interest; and only when he is himself concerned as an individual. For besides other considerations, everybody is more inclined to neglect the duty which he expects another to fulfill; as in families many attendants are often less useful than a few. Each citizen will have a thousand sons who will not be (...) his sons individually but anybody will be equally the son of anybody, and will therefore be neglected by all alike.". (shrink)

It is said that society is in a moral crisis. And, what is worse, it seems to be deteriorating at an ever increasing rate. We all agree that something needs to be done. Our politicians and preachers say we need to help each other more, we need to have "family values", we need to contribute to society and we need to have high moral standards. But there is a fundamental logical reason why none of this is going to happen. This (...) article will explore that reason in detail. (shrink)

I argue that Gauthier's constrained-maximizer rationality is problematic. But standard Maximizing Rationality means one's preferences are only rational if it would not maximize on them to adopt new ones. In the Prisoner's Dilemma, it maximizes to adopt conditionally cooperative preferences. (These are detailed, with a view to avoiding problems of circularity of definition.) Morality then maximizes. I distinguish the roles played in rational choices and their bases by preferences, dispositions, moral and rational principles, the aim of rational action, and (...) rational decision rules. I argue that Maximizing Rationality necessarily structures conclusive reasons for action. Thus conations of any sort can base rational choices only if the conations are structured like a coherent preference function; rational actions maximize on such functions. Maximization-constraining dispositions cannot integrate into a coherent preference function. (shrink)

This paper will focus on the notion of toxic masculinity that has a lot to do with deforming the male identity figure. I am here really concerned with probing within the need of conforming with the traditional masculinity ideology in the East and the West, and how it hinders males from discovering what it means to be a male. Actually, the scope of research in this paper exceeds one culture to include both the Western and the Eastern cultures, which have (...) proved with evidence to share many attributes. I am also revealing how this masculinity has been misinterpreted over the years to encompass weird attitudes and behaviors as suppressing emotions or masking distress or showing violence as an indicator of power. How the idea of the necessity of being “tough all the time” may affect their mental and psychological wellbeing and what is less than that could stigmatize them for being “feminine” or “weak”. In this paper, I will also try to reveal how great sector of women unintentionally feeds this ego of toxic masculinity to their sons since childhood days. By connecting all these factors to the development of the characters in Victor Surge’s novel “Men in Prison”, we are simply highlighting the psychological dimension and consequences of suppressed men. It is regarded as an unfiltered view of humanity in the early 20th century. The depraving brutality that Serge experienced behind bars is mirroring a society subduing men in various levels. I hopefully seek to break down factors that trap men in a certain framework out of which there is no escape. (shrink)

Two of the most important ideas in the philosophy of law are the “Coase Theorem” and the “Prisoner’s Dilemma.” In this paper, the authors explore the relation between these two influential models through a creative thought-experiment. Specifically, the paper presents a pure Coasean version of the Prisoner’s Dilemma, one in which property rights are well-defined and transactions costs are zero (i.e. the prisoners are allowed to openly communicate and bargain with each other), in order to test the truth value of (...) the Coase Theorem. In addition, the paper explores what effect (a) uncertainty, (b) exponential discounting, (c) and elasticity have on the behavior of the prisoners in the Coasean version of the dilemma. Lastly, the paper considers the role of the prosecutor (and third-parties generally) in the Prisoner’s Dilemma and closes with some parting thoughts about the complexity of the dilemma. The authors then conclude by identifying the conditions under which the Prisoner’s Dilemma refutes the Coase Theorem. (shrink)

"From the Proceedings of the British Academy, London, volume LXV (1979)" - title page. Series: Henrietta Hertz Trust annual philosophical lecture -- 1978 Other Titles: Proceedings of the British Academy. Vol.65: 1979.

Talk of ‘robustness’ remains vague, despite the fact that it is clearly an important parameter in evaluating models in general and game-theoretic results in particular. Here we want to make it a bit less vague by offering a graphic measure for a particular kind of robustness— ‘matrix robustness’— using a three dimensional display of the universe of 2 x 2 game theory. In a display of this form, familiar games such as the Prisoner’s Dilemma, Stag Hunt, Chicken and Deadlock appear (...) as volumes, making comparison easy regarding the extent of different game-theoretic effects. We illustrate such a comparison in robustness between the triumph of Tit for Tat in a spatialized environment (Grim 1995, Grim, Mar, and St. Denis 1998) and a spatialized modeling of the Contact Hypothesis regarding prejudice reduction (Grim, et. al 2005a, 2005b). The geometrical representation of relative robustness also offers a possibility for links between geometrical theorems and results regarding robustness in game theory. (shrink)

Existing studies of the multi-group dynamics of prejudiced societies focus on the social- psychological knowledge behind the relevant processes. We instead create a multi-agent framework that simulates the propagation of prejudice and measures its tangible impact on prosperity. Levels of prosperity are tracked for individuals as well as larger social structures including groups and factions. We model social interactions using the Continuous Prisoner's Dilemma (CPD) and a new agent type called a prejudiced agent. Our simulations show (...) that even modeling prejudice as an exclusively out-group phenomenon nonetheless generates implicit in-group promotion, leading to higher relative prosperity of a prejudiced population. This skew in prosperity is seen to be correlated to factors such as size difference between groups, and the fraction of prejudiced agents in a group. Our model is a step towards a deeper understanding of the origins, propagation, and ramifications of prejudice through simulative studies grounded in apt theoretical backgrounds. (shrink)

Evolutionary applications of game theory present one of the most pedagogically accessible varieties of genuine, contemporary theoretical biology. We present here Oyun (OY-oon, http://charlespence.net/oyun), a program designed to run iterated prisoner’s dilemma tournaments, competitions between prisoner’s dilemma strategies developed by the students themselves. Using this software, students are able to readily design and tweak their own strategies, and to see how they fare both in round-robin tournaments and in “evolutionary” tournaments, where the scores in a given “generation” directly determine contribution (...) to the population in the next generation. Oyun is freely available, runs on Windows, Mac, and Linux computers, and the process of creating new prisoner’s dilemma strategies is both easy to teach and easy for students to grasp. We illustrate with two interesting examples taken from actual use of Oyun in the classroom. (shrink)

The Prisoner's Dilemma (PD) exhibits a tragedy in this sense: if the players are fully informed and rational, they are condemned to a jointly dispreferred outcome. In this essay I address the following question: What feature of the PD's payoff structure is necessary and sufficient to produce the tragedy? In answering it I use the notion of a trembling-hand equilibrium. In the final section I discuss an implication of my argument, an implication which bears on the persistence of the (...) problem posed by the PD. (shrink)

In contrast to Axelrod’s advice “don’t be envious” it is argued that the emotion of envy may enhance cooperation. TIT FOR TAT does exhibit a certain degree of envy. But, it does so in inconsistent ways. Two variants of TIT FOR TAT are introduced and their strategic properties are analyzed. Both generate the very same actual play as TIT FOR TAT in a computer tournament without noise. However, if noise is introduced they display some greater degree of stability. This is (...) due to the fact that they form, in a prisoner’s dilemma supergame with suitable parameters, an equilibrium with themselves that is subgame perfect or (in case of the first strategy) close to subgame perfect. It is additionally argued that these strategies are exceptionally clear and comprehensible to others in that they conform to well known real live behavior patterns. (shrink)

For the tradition, an action is rational if maximizing; for Gauthier, if expressive of a disposition it maximized to adopt; for me, if maximizing on rational preferences, ones whose possession maximizes given one's prior preferences. Decision and Game Theory and their recommendations for choice need revamping to reflect this new standard for the rationality of preferences and choices. It would not be rational when facing a Prisoner's Dilemma to adopt or co-operate from Amartya Sen's "Assurance Game" or "Other Regarding" (...) preferences. But there are preferences which it maximizes to adopt and co-operate from. (shrink)

Grey zone attacks tend to paralyze response for two reasons. First, they present us with choice scenarios of inherently dilemmatic structure, e.g., Prisoners’ Dilemmas and games of chicken, complicated by difficult conditions of choice, such as choice under risk or amid vagueness. Second, they exploit our uncertainty about how much we do or should care about the things under attack¬—each attack is small in effect, but their effects accumulate: how should we decide whether to treat a given attack as something (...) meriting a serious response rather than a mere irritation to be ignored? This chapter brings standard decision theoretic tools to bear on the issues, tools such as the maximization of expected utility principle, and the precautionary principle. But it also develops three innovations. It shows that seeing it as possible to make choices not just of actions given our values, but also choices of values themselves, can extricate us from certain kinds of decision paralysis. It shows how we can rationally regard ourselves as having bright decision lines even when nothing in the circumstance of choice has these lines in its structure. And it shows how certain conflict escalation risks from the former two strategies can be managed by both parties seeing that cooperation can yield a sharable surplus of goods, and that cooperation can be rational upon a rationally defensible change in their values so that each comes to derive utility from the success of both parties. This yields cooperative solutions to what amount to Prisoners’ Dilemmas. The Cold War was prosecuted on the logic of strategic rationality and that part of game theory that is deterrence theory. We need a new logic from decision theorists for the games that constitute grey zone conflict. (shrink)

We extend previous work on cooperation to some related questions regarding the evolution of simple forms of communication. The evolution of cooperation within the iterated Prisoner's Dilemma has been shown to follow different patterns, with significantly different outcomes, depending on whether the features of the model are classically perfect or stochastically imperfect (Axelrod 1980a, 1980b, 1984, 1985; Axelrod and Hamilton, 1981; Nowak and Sigmund, 1990, 1992; Sigmund 1993). Our results here show that the same holds for communication. Within a (...) simple model, the evolution of communication seems to require a stochastically imperfect world. (shrink)

The use of evolutionary game theory to explain the evolution of human norms and the behavior of humans who act according to those norms is widespread. Both the aims and motivation for its use are clearly articulated by Harms and Skyrms (2008) in the following passage: "A good theory of evolution of norms might start by explaining the evolution of altruism in Prisoner’s Dilemma, of Stag Hunting, and of the equal split in the symmetric bargaining game. These are not well-explained (...) by classical game theory based on rational choice. From a technical point of view, they present different theoretical challenges. In the bargaining game, there are an infinite number of equilibria with no principled (rational choice) way to select the cooperative one. In Stag Hunt there are only two, but the non-cooperative one is selected by risk-dominance. In Prisoner’s Dilemma the state of mutual cooperation is not a Nash equilibrium at all, and cooperation flies in the face of the rational-choice principle that one does not choose less rather than more. In contrast to rational choice theory, the most common tool of evolutionary game theory is the replicator dynamics, in which the propagation rate of each strategy is determined by its current payoffs. These dynamics have a rationale in both biological and cultural evolutionary modeling, and sometimes tell us things that rational choice theory does not." We agree with the first sentence in this quotation: a good theory about the behavior under norms ought to explain altruism in the Prisoner’s Dilemma (PD), playing Stag in Stag Hunt (SH), and offering equal splits in the symmetric Nash bargaining game (NB). We also agree with Harms and Skyrms about the difference in technical challenges each of these games poses. Finding a single mechanism, even one as broadly understood as evolution, that could solve these challenges en masse is no doubt a tall order. Nonetheless, in this paper, we present a single, simple, modification to SH, NB, and a general n-player PD that does just that: we introduce deontological autonomy into the models. (shrink)

The Nash counterfactual considers the question: what would happen were I to change my behaviour assuming no one else does. By contrast, the Kantian counterfactual considers the question: what would happen were everyone to deviate from some behaviour. We present a model that endogenizes the decision to engage in this type of Kantian reasoning. Autonomous agents using this moral framework receive psychic payoffs equivalent to the cooperate-cooperate payoff in Prisoner’s Dilemma regardless of the other player’s action. Moreover, if both interacting (...) agents play Prisoner’s Dilemma using this moral framework, their material outcomes are a Pareto improvement over the Nash equilibrium. (shrink)

Robustness has long been recognized as an important parameter for evaluating game-theoretic results, but talk of ‘robustness’ generally remains vague. What we offer here is a graphic measure for a particular kind of robustness (‘matrix robustness’), using a three-dimensional display of the universe of 2 × 2 game theory. In such a measure specific games appear as specific volumes (Prisoner’s Dilemma, Stag Hunt, etc.), allowing a graphic image of the extent of particular game-theoretic effects in terms of those games. The (...) measure also allows for an easy comparison between different effects in terms of matrix robustness. Here we use the measure to compare the robustness of Tit for Tat’s well-known success in spatialized games (Axelrod, R. (1984). The evolution of cooperation . New York: Basic Books; Grim, P. et al. (1998). The philosophical computer: Exploratory essays in philosophical computer modeling . Cambridge, Mass: MIT Press) with the robustness of a recent game-theoretic model of the contact hypothesis regarding prejudice reduction (Grim et al. 2005. Public Affairs Quarterly, 19 , 95–125). (shrink)

La question des rapports du spinozisme à l’axiologie a fait l’objet de nombreux débats. Certains commentateurs considèrent Spinoza comme étant profondément immoraliste, alors que pour d’autres, il maintient l'ensemble des valeurs humaines. Spinoza a cherché à dépasser l’utilitarisme propre au conatus de chacun, afin de fonder un altruisme rationnel. Il souligne que le bien auquel l’homme aspire lorsqu’il suit la vertu, il le désirera aussi pour tous les autres hommes. Cependant, les moyens mis en œuvre pour démontrer cette thèse semblent (...) problématiques. Cet article analyse la logique de la coopération interhumaine élaborée par Spinoza, ainsi que son idéal de l’homme libre, montrant, qu'en fait, il n'a pas réussi à surmonter la nature profondément égoïste du conatus. -/- The question of the relationship between Spinozism and axiology has been the subject of much debate. Some commentators consider Spinoza to be profoundly immoralist, while for others he upholds the set of human values. Spinoza sought to go beyond the utilitarianism proper to the conatus of each person, in order to establish a rational altruism. He emphasizes that the good to which man aspires when he follows virtue, he will also desire for all other men. However, the means used to demonstrate this thesis seem problematic. This article analyzes Spinoza's logic of interhuman cooperation, as well as his ideal of the free man, showing that, in fact, he failed to overcome the profoundly egoistic nature of conatus. -/- . (shrink)

Collected and edited by Noah Levin -/- Table of Contents: -/- UNIT ONE: INTRODUCTION TO CONTEMPORARY ETHICS: TECHNOLOGY, AFFIRMATIVE ACTION, AND IMMIGRATION 1 The “Trolley Problem” and Self-Driving Cars: Your Car’s Moral Settings (Noah Levin) 2 What is Ethics and What Makes Something a Problem for Morality? (David Svolba) 3 Letter from the Birmingham City Jail (Martin Luther King, Jr) 4 A Defense of Affirmative Action (Noah Levin) 5 The Moral Issues of Immigration (B.M. Wooldridge) 6 The Ethics of our (...) Digital Selves (Noah Levin) -/- UNIT TWO: TORTURE, DEATH, AND THE “GREATER GOOD” 7 The Ethics of Torture (Martine Berenpas) 8 What Moral Obligations do we have (or not have) to Impoverished Peoples? (B.M. Wooldridge) 9 Euthanasia, or Mercy Killing (Nathan Nobis) 10 An Argument Against Capital Punishment (Noah Levin) 11 Common Arguments about Abortion (Nathan Nobis & Kristina Grob) 12 Better (Philosophical) Arguments about Abortion (Nathan Nobis & Kristina Grob) -/- UNIT THREE: PERSONS, AUTONOMY, THE ENVIRONMENT, AND RIGHTS 13 Animal Rights (Eduardo Salazar) 14 John Rawls and the “Veil of Ignorance” (Ben Davies) 15 Environmental Ethics: Climate Change (Jonathan Spelman) 16 Rape, Date Rape, and the “Affirmative Consent” Law in California (Noah Levin) 17 The Ethics of Pornography: Deliberating on a Modern Harm (Eduardo Salazar) 18 The Social Contract (Thomas Hobbes) -/- UNIT FOUR: HAPPINESS 19 Is Pleasure all that Matters? Thoughts on the “Experience Machine” (Prabhpal Singh) 20 Utilitarianism (J.S. Mill) 21 Utilitarianism: Pros and Cons (B.M. Wooldridge) 22 Existentialism, Genetic Engineering, and the Meaning of Life: The Fifths (Noah Levin) 23 The Solitude of the Self (Elizabeth Cady Stanton) 24 Game Theory, the Nash Equilibrium, and the Prisoner’s Dilemma (Douglas E. Hill) -/- UNIT FIVE: RELIGION, LAW, AND ABSOLUTE MORALITY 25 The Myth of Gyges and The Crito (Plato) 26 God, Morality, and Religion (Kristin Seemuth Whaley) 27 The Categorical Imperative (Immanuel Kant) 28 The Virtues (Aristotle) 29 Beyond Good and Evil (Friedrich Nietzsche) 30 Other Moral Theories: Subjectivism, Relativism, Emotivism, Intuitionism, etc. (Jan F. Jacko). (shrink)

This paper is the product of an interdisciplinary, interreligious dialogue aiming to outline some of the possibilities and rational limits of supernatural religious belief, in the light of a critique of David Hume’s familiar sceptical arguments -- including a rejection of his famous Maxim on miracles -- combined with a range of striking recent empirical research. The Humean nexus leads us to the formulation of a new ”Common-Core/Diversity Dilemma’, which suggests that the contradictions between different religious belief systems, in conjunction (...) with new understandings of the cognitive forces that shape their common features, persuasively challenge the rationality of most kinds of supernatural belief. In support of this conclusion, we survey empirical research concerning intercessory prayer, religious experience, near-death experience, and various cognitive biases. But we then go on to consider evidence that supernaturalism -- even when rationally unwarranted -- has significant beneficial individual and social effects, despite others that are far less desirable. This prompts the formulation of a ”Normal/Objective Dilemma’, identifying important trade-offs to be found in the choice between our humanly evolved ”normal’ outlook on the world, and one that is more rational and ”objective’. Can we retain the pragmatic benefits of supernatural belief while avoiding irrationality and intergroup conflict? It may well seem that rationality is incompatible with any wilful sacrifice of objectivity. But in a situation of uncertainty, an attractive compromise may be available by moving from the competing factions and mutual contradictions of ”first-order’ supernaturalism to a more abstract and tolerant ”second-order’ view, which itself can be given some distinctive intellectual support through the increasingly popular Fine Tuning Argument. We end by proposing a ”Maxim of the Moon’ to express the undogmatic spirit of this second-order religiosity, providing a cautionary metaphor to counter the pervasive bias endemic to the human condition, and offering a more cooperation- and humility-enhancing understanding of religious diversity in a tense and precarious globalised age. (shrink)

Climate negotiations under the United Nations Framework Convention on Climate Change have so far failed to achieve a robust international agreement to reduce greenhouse gas emissions. Game theory has been used to investigate possible climate negotiation solutions and strategies for accomplishing them. Negotiations have been primarily modelled as public goods games such as the Prisoner’s Dilemma, though coordination games or games of conflict have also been used. Many of these models have solutions, in the form of equilibria, corresponding to possible (...) positive outcomes—that is, agreements with the requisite emissions reduction commitments. Other work on large-scale social dilemmas suggests that it should be possible to resolve the climate problem. It therefore seems that equilibrium selection may be a barrier to successful negotiations. Here we use an N-player bargaining game in an agent-based model with learning dynamics to examine the past failures of and future prospects for a robust international climate agreement. The model suggests reasons why the desirable solutions identified in previous game-theoretic models have not yet been accomplished in practice and what mechanisms might be used to achieve these solutions. (shrink)

In ‘What Makes Killing Wrong?’ Sinnott-Armstrong and Miller make the bold claim that killing in itself is not wrong, what is wrong is totally-disabling. In ‘After-Birth Abortion: Why Should the Baby Live?’ Giubilini and Minerva argue for allowing infanticide. Both papers challenge the stigma commonly associated with killing, and emphasize that killing is not wrong at some margins of life. In this paper, we first generalize the above claims to the thesis that there is nothing morally wrong with killing per (...) se, so long as it is instant and unannounced. Then, from the perspective of social evolution, we explain why people refrain from killing others, the general guideline being that it is unadvisable to kill someone with whom you associate a Second Person Perspective (SPP). Finally, drawing from a seminal paper of Press and Dyson on the Iterated Prisoner’s Dilemma, we stress that an SPP without an SP (Second Person), or the other way around, can both lead to unwelcome results. (shrink)

Modelling ethics is critical to understanding and analysing social phenomena. However, prior literature either incorporates ethics into agent strategies or uses it for evaluation of agent behaviour. This work proposes a framework that models both, ethical decision making as well as evaluation using virtue ethics and utilitarianism. In an iteration, agents can use either the classical Continuous Prisoner's Dilemma or a new type of interaction called moral interaction, where agents donate or steal from other agents. We introduce moral (...) interactions to model ethical decision making. We also propose a novel agent type, called virtue agent, parametrised by the agent's level of ethics. Virtue agents' decisions are based on moral evaluations of past interactions. Our simulations show that unethical agents make short term gains but are less prosperous in the long run. We find that in societies with positivity bias, unethical agents have high incentive to become ethical. The opposite is true of societies with negativity bias. We also evaluate the ethicality of existing strategies and compare them to those of virtue agents. (shrink)

In this paper I critically examine an influential argument in favor of political realism. The argument claims that international relations, by analogy with Hobbes’s state of nature at the individual level, are governed by anarchy which makes it irrational for states to observe the principles of morality and justice since there are no guarantees that they will be observed by other states. However, this analogy is unsustainable due to the differences that exist between agents on the international and individual levels. (...) Compared to the insecurity of the state of nature, the level of insecurity of international relations is lower, which makes it possible for co-operation between states to be established. This conclusion is additionally corroborated by insights of the game theories, especially those of iterated prisoner’s dilemma. (shrink)

Collective action is interpreted as a matter of people doing something together, and it is assumed that this involves their having a collective intention to do that thing together. The account of collective intention for which the author has argued elsewhere is presented. In terms that are explained, the parties are jointly committed to intend as a body that such-and-such. Collective action problems in the sense of rational choice theory—problems such as the various forms of coordination problem and the prisoner’s (...) dilemma—are then considered. An explanation is given of how, when such a problem is interpreted in terms of the parties’ inclinations, a suitable collective intention resolves the problem for agents who are rational in a broad sense other than the technical sense of game theory. Key Words: rationality • collective action • collective intention • joint commitment. (shrink)

The lifting of lockdown is a typical case of the tragedy of the commons, and as such should be regulated by public authority, instead of being left to the ethics and responsibility of single individuals. I would therefore argue that we should think about an intermediate phase between the lockdown and the opening of shops (which in the Italian case is the transition from the red zone to the orange zone): diversified access to commercial activities, on an hourly basis, for (...) different population groups. This can be achieved either by creating different opening hours for different commercial activities and offices, or by opening them all at the same time but introducing free entrance hours based on age groups of clients. Both solutions would imply an extension of business and office hours, contrary to what has happened in most countries, where an attempt has been made to shorten the days and in some cases, such as in Italy, a curfew has even been introduced at a certain time of the day (in Italy, at 10 pm). (shrink)

Rawlsian justice as fairness is neither fundamentally luck egalitarian nor relational egalitarian. Rather, the most fundamental idea is that of society as a fair system of cooperation. Collective pensions provide a case study which illustrates the fruitfulness of conceiving justice in these latter terms. Those who have recently reached the age of majority do not now know how long they will live in retirement or how well any investments they try to save up for their retirement would fare. From the (...) perspective of the beginning of their working lives, it is therefore rational for each to enter into an agreement with others, who also do not yet know their fates, that, if one turns out to be among the unfortunate whose private pension pots would not have yielded enough for one’s retirement, one will receive much more in retirement, whereas those whose pension pots would have overflowed their retirements will receive somewhat less. These terms are to each person’s expected advantage, which is made possible by a fair sharing of the fruits of social cooperation which arise through the efficiencies reaped by the pooling of the risk of outliving what one could save for one’s retirement on one’s own. It is rational for each to agree to share one another’s fates by pooling risks across both space and time, on fair terms of social cooperation for mutual advantage. Even when collective pensions arise from, and are proportional to, a baseline of unequal income, they can be defended on grounds of reciprocity involving regard for one another as equals. (shrink)

This paper considers the view that the basis of equality is the range property of being a moral person. This view, suggested by John Rawls in his A Theory of Justice (1971), is commonly dismissed in the literature. By defending the view against the criticism levelled against it, I aim to show that this dismissal has been too quick. The critics have generally failed to fully appreciate the fact that Rawls's account is restricted to the domain of distributive justice. On (...) Rawls's view distributive justice is a matter of the fair terms of cooperation among the participants of a system of social cooperation. I argue that this understanding of distributive justice can provide a compelling rationale for considering moral personality as the basis of equality for this domain of morality. That moral persons are indeed equal is further supported by an intuitive argument concerning the irrelevance of morally arbitrary factors, giving us reasons to believe that varying capacities among moral persons does not result in an unequal moral status. The dismissal of Rawls's account of equality has thus been premature, and it remains an important view to consider. (shrink)

What lessons can legal scholars learn from the life and work of W. D. "Bill" Hamilton, a lifelong student of nature? From my small corner of the legal Academia, three aspects of Bill Hamilton’s work in evolutionary biology stand out in particular: (i) Hamilton’s simple and beautiful model of social behavior in terms of costs and benefits; (ii) his fruitful collaboration with the political theorist Robert Axelrod and their unexpected yet elegant solution of the Prisoner’s Dilemma, an important game (...) or puzzle that had defied solution until Hamilton and Axelrod came along; and (iii) Hamilton’s conception of science generally -- and in particular his view of the process of scientific justification -- as a form of trial advocacy. In this review of Ullica Segerstråle’s recently-published biography of Bill Hamilton, the author briefly recounts and reviews each one of these important contributions. (shrink)

How may nations protect their interests in space if its fragility makes military operations there self-defeating? This essay claims nations are in Prisoners Dilemmas on the matter, and applies David Gauthier’s theories about how it is rational to behave morally—cooperatively—in such dilemmas. Currently space-faring nations should i) enter into co-operative space sharing arrangements with other rational nations, ii) exclude—militarily, but with only terrestrial force—nations irrational or existentially opposed to other nations being in space, and iii) incentivize all nations into co-operation (...) by redistributing some space-generated wealth to nations that might otherwise ruin space. Further, since all nations are rationally incentivized to ever greater dependence on space, and since each, by threatening space, can hold hostage its benefits to all, each can demand resolution of terrestrial discontents with other nations. So each has a rational interest in treating others morally both in space and on terrestrial issues. (shrink)