We argue that a semantics for counterfactual conditionals in terms of comparative overall similarity faces a formal limitation due to Arrow’s impossibility theorem from social choice theory. According to Lewis’s account, the truth-conditions for counterfactual conditionals are given in terms of the comparative overall similarity between possible worlds, which is in turn determined by various aspects of similarity between possible worlds. We argue that a function from aspects of similarity to overall similarity should satisfy certain plausible constraints while Arrow’s impossibility (...) theorem rules out that such a function satisfies all the constraints simultaneously. We argue that a way out of this impasse is to represent aspectual similarity in terms of ranking functions instead of representing it in a purely ordinal fashion. Further, we argue against the claim that the determination of overall similarity by aspects of similarity faces a difficulty in addition to the Arrovian limitation, namely the incommensurability of different aspects of similarity. The phenomena that have been cited as evidence for such incommensurability are best explained by ordinary vagueness. (shrink)

Much of John Rawls' later work is concerned with the appli cation of his philosophical conceptions to the reality of liberal-democratic polities. I suggest that given the modern democratic reality of ethno national pluralism, Rawls' political conception of justice is insufficient to ensure democratic stability. Democratic states manage to contain ethnic pluralism while remaining compatible with liberal principles by promoting a corporate national identity. The key, I argue, lies in the particular member ship criteria devised and implemented by the state. (...) Hence, the promotion of a corporate national identity negates state neutrality, but not necessarily political liberalism. Key Words: Israel • Israeli Arabs • national identity • pluralism • Rawls. (shrink)

Numerous countries are heading toward digital infrastructures. In particular this new technology promises to help support methods for elections. However, one should be careful that such an infrastructure does not hinder the voting and representation issues. On the contrary, it should support those issues and help citizens have a clearer picture of the underlying mechanisms. This paper deals with the limits of voting procedures as they are described in classical collective choice theory and reflects on ways to aggregate electronic votes (...) stemming from various individuals that would be at the same time democratic, decisive and rational which is not feasible when candidate rankings alone are taken into account. This paper shows how electronic voting procedures could improve the situation by introducing preference-based votes. (shrink)

Though corporate social responsibility (CSR) is on the agenda of most major corporations, corporate executives still largely support the view that corporations should maximize the returns to their owners. There are two lines of defence for this position. One is the Friedmanian view that maximizing owner returns is the social responsibility of corporations. The other is a position voiced by many executives, that CSR and profits go together. This article argues that the first position is ethically untenable, while the latter (...) is not supported by empirical evidence. The implication is that there may be good reason for firms to deviate from a maxim of profit maximization. (shrink)

This contribution investigates whether Hegel’s critique of social contract theory is still applicable to contemporary contract theory proposed by, e. g., Rawls and Nozick. At first sight, they seem to have overcome the problems identified by Hegel because Rawls and Nozick appropriate the social contract as something essentially rational and normative. I argue, however, that for Hegel, their appeal to rational argumentation is not compatible with the concreteness of human individuals. A revised reading of the master/ bondsman-relation, emphasizing the role (...) of the “fear of death”, shows the limited scope of contemporary contract theory. (shrink)

This paper develops an account of what it is that rational agents choose and what it is that rational agents prefer. There are three desiderata to satisfy when offering such an account. First, the account should maintain canonical axioms of rational choice theory as intuitively plausible. Here I focus on contraction and expansion consistency properties. Second, the account should prevent canonical axioms of rational choice theory from becoming trivial—it should be possible to actually violate these axioms, less rational choice theory (...) becomes useless for many purposes. Third, the account should allow rational choice theory to be put to several different philosophical projects. I show that existing accounts of what we choose and prefer fail along at least one of these metrics. The account I develop does not fail across any of these metrics. (shrink)

The paper deals briefly with several definitional issues; discusses the concept of image as it determines the way managers see the world; as one aspect of the image, examines the contrasting views of conflict and cooperation in social and organizational relationships; and then presents a typology of corporate responses to pressures for socially responsible behavior: authoritarian, manipulative and bargaining. This typology was developed on the basis of the analysis of a large number of case histories of environmental conflicts, a number (...) of which are included for purposes of illustration. Several historical examples are cited. The inference drawn from this study is that decisions become more responsible as decision-makers come under the scrutiny of and pressure from those affected by the decisions. (shrink)

Neo-Darwinism is based on the same principles as the Walrasian analysis of equilibrium. This may be surprising for evolutionary economists who resort to neo-Darwinism as a result of their dissatisfaction with Walrasian economics. As it is well-known, the principle of rationality does not play a role in neo-Darwinism. In fact, the whole (neo-)Darwinian agenda became popular exactly because it expunged the idea of rationality from nature, and hence, from equilibrium. It is less known, however, that the rationality principle is also (...) not central in Walrasian equilibrium analysis. Therefore, if we find that the rationality principle must be central to the analysis of decision making of human and nonhuman organisms, we must advance organomics . Organomics is bioeconomics understood as the use of rational choice to the study of the behavior of human and nonhuman organisms. Organomics offers a different starting point than the one offered by neo-Darwinism. (shrink)

We present a new method of constructing Condorcet domains from pairs of Condorcet domains of smaller sizes (concatenation + shuffle scheme). The concatenation + shuffle scheme provides maximal, connected, copious, peak-pit domains whenever the original domains have these properties. It allows to construct maximal peak-pit Condorcet domains that are larger than those obtained by the Fishburn’s alternating scheme for all $$n\ge 13$$ n ≥ 13 alternatives. For a large number n of alternatives, we get a lower bound $$2.1045^{n}$$ 2. 1045 (...) n for the cardinality of the largest peak-pit Condorcet domain and a lower bound $$2.1890^{n}$$ 2. 1890 n for the cardinality of the largest Condorcet domain, improving Fishburn’s result. We also show that all Arrow’s single-peaked domains can be constructed by concatenation + shuffle scheme starting from the trivial domain. (shrink)

Ethics, Policy & Environment, Volume 14, Issue 3, Page 313-327, October 2011.

In this paper, we introduce an Arrovian social choice framework with the process of nomination. We consider a two-stage social choice procedure in which some alternatives are first nominated by aggregating the opinions of nominators, and then the society makes a collective choice from the nominated alternatives by aggregating the preferences of voters. Each nominator’s opinion is a positive, negative, or neutral view as to whether each alternative deserves to be eligible for collective decision making. If a voter is a (...) nominator, his preference space is restricted by his opinion as follows: he always prefers positive alternatives to neutral ones and neutral alternatives to negative ones, according to his opinion. When each nominating voter has such a preference space, we first characterize Arrow-consistent preference domains at the second stage of the social choice framework. Second, we find a resolution of Arrow’s impossibility theorem when at least one nominating voter exists. (shrink)

Laurie Paul has recently argued that transformative experiences pose a problem for decision theory. According to Paul, agents facing transformative experiences do not possess the states required for decision theory to formulate its prescriptions. Agents facing transformative experiences are impoverished relative to their decision problems, and decision theory doesn’t know what to do with impoverished agents. Richard Pettigrew takes Paul’s challenge seriously. He grants that decision theory cannot handle decision problems involving transformative experiences. To deal with the problems posed by (...) transformative experiences, Pettigrew proposes two alterations to decision theory. The first alteration is meant to handle the problem posed by epistemically transformative experiences, and the second alteration is meant to handle the problem posed by personally transformative experiences. I argue that Pettigrew’s proposed alterations are untenable. Pettigrew’s novel decision theory faces both formal and philosophical problems. It is doubtful that Pettigrew can formulate the sort of decision theory he wants, and further doubtful that he should want such a decision theory in the first place. Moreover, the issues with Pettigrew’s proposed alterations help reveal issues with Paul’s initial challenge to decision theory. I suggest that transformative experiences should not be taken to pose a problem for decision theory, but should instead be taken to pose a topic for ethics. (shrink)

The purpose of this article is to introduce a Cartesian product structure into the social choice theoretical framework and to examine if new possibility results to Gibbard’s and Sen’s paradoxes can be developed thanks to it. We believe that a Cartesian product structure is a pertinent way to describe individual rights in the social choice theory since it discriminates the personal features comprised in each social state. First we define some conceptual and formal tools related to the Cartesian product structure. (...) We then apply these notions to Gibbard’s paradox and to Sen’s impossibility of a Paretian liberal. Finally we compare the advantages of our approach to other solutions proposed in the literature for both impossibility theorems. (shrink)

Agents have no control over the formation of their own zygote. Others may do. According to a well-known argument, the so-called Zygote Argument for incompatibilism, these facts, together with a prima facie plausible further assumption, are sufficient to prove that human agents cannot be responsible for their actions if they live in a deterministic universe. This paper argues that the lack of agents’ control over the constitution of their own zygote can undermine their responsibility only in exceptional conditions and that (...) the occurrence or non-occurrence of those conditions has nothing to do with the truth or falsity of determinism. What undermines agents’ responsibility in the situations described by the Zygote Argument is the occurrence of some specific initial conditions which may render the manipulation of agents’ behaviour possible, and not the truth of determinism. (shrink)

As behavioural economics reveals, human decision-making deviates from neoclassical assumptions about human behaviour and people (often) fail to make the ‘right’ welfare-enhancing choice. The purpose of Sunstein and Thaler’s concept of ‘nudge’ is to improve individual welfare. To provide normative justification, they argue that the only relevant normative criterion is whether the individual is ‘better off as judged by themselves’, so that the direction in which people are to be nudged is defined by their own preferences. In light of behavioural (...) findings, however, people’s choices do not provide a sound basis for eliciting preferences and thus for assessing welfare. In this paper, I aim to challenge Sunstein and Thaler’s normative view, arguing that it is unreasonable to rely on conventional welfare economics, particularly considering the given context. Sunstein and Thaler depend on an approach of ‘preference purification’ which assumes informed, latent, and true preferences: As a result they face crucial methodological, epistemological, and practical objections, and cannot show how their approach enhances individual welfare. By building on the concepts of R. Sugden and C. Schubert, I develop an alternative normative framework for behavioural public policy, based on a contractualist perspective in which people may consent to collective choice rules in order to align future behaviour with values, to achieve particular goals or to preserve personal integrity. Individual consent and citizens’ participation and deliberation are crucial to this approach. This contractualist approach may provide a normative justification for behavioural public policy, and help to reconcile behavioural and normative economics. (shrink)

The existing literature on the rational underdetermination problem often construes it as one resulting from the ubiquity of objective values. It is therefore sometimes argued that subjectivists need not be troubled by the underdetermination problem. But on closer examination, it turns out, they should. Or so I will argue. The task of the first half of this paper is explaining why. The task of the second half is finding a subjectivist solution the rational underdetermination problem. The basic problem, I argue, (...) is as follows. Idealizing subjectivism generates too many ideal selves to deliver determinate or commensurable options regarding what non-ideal deliberating agents ought to do. My solution: these idealized options should be assessed from the only perspective we can, in fact, occupy, namely, that of our non-ideal, actual selves. Deciding what to do therefore becomes, in part, an exercise in deciding who to be. But one might now worry this just moves the arbitrariness bump in the rug. Privileging the perspective of our actual self seems contrary to the rationale for idealizing in the first place. I consider two solutions to the problem, one democratic, the other modelled on trusteeship. In the end, I argue, our actual self has complete freedom to choose the ideal self it grants rational authority. In the final part of the paper, I present my positive proposal as a solution to the underdetermination problem confronting the idealizing subjectivist and then argue that, so understood, this account vindicates a tidied-up version of how some reflective people already do deliberate in their everyday lives. This, in turn, suggests that a decision-procedure closely connected to the account is both possible and attractive. (shrink)

The dominant view among macroeconomists is that macroeconomics reduces to microeconomics, both in the sense that all macroeconomic phenomena arise out of microeconomic phenomena and in the sense that macroeconomic theory—to the extent that it is correct—can be derived from microeconomic theory. More than that, the dominant view believes that macroeconomics should in practice use the reduced microeconomic theory: this is the program of microfoundations for macroeconomics to which the vast majority of macroeconomists adhere. The "microfoundational" models that they actually (...) employ are, however, characterized by another feature: they are highly idealized, even when they are applied as direct characterizations of actual data, which itself consists of macroeconomic aggregates. This paper explores the interrelationship between reductionism and idealization in the microfoundational program and the role of idealization in empirical modeling. (shrink)

We characterize seniority rules, also known as lexical dictatorships, under weak consistency constraints on the group’s choice function. These constraints are base triple-acyclicity in the case of binary choices and rationalizability (although not rationality) in the case of choices between an arbitrary number of alternatives. Existing results on these weakened constraints remain silent on the treatment of the group’s most junior individuals and therefore do not yield a complete characterization of seniority rules. We also impose a universal domain, binary strict (...) Pareto optimality, binary Pareto indifference, binary independence of irrelevant alternatives, and the newly introduced condition of conflict resolution. The latter condition requires a social choice rules not to remain indecisive between alternatives for which individuals have conflicting preferences. (shrink)

In this paper, I review the literature on rational choice theory to scrutinize a number of criticisms that philosophers have voiced against its usefulness in economics. The paper has three goals: first, I argue that the debates about RCT have been characterized by disunity and confusion about the object under scrutiny, which calls into question the effectiveness of those criticisms. Second, I argue that RCT is not a single and unified choice theory—let alone an empirical theory of human behavior—as some (...) critics seem to suppose. Rather, there are several variants of RCT used in economics. Third, I propose that we think of RCT as a set of distinct research strategies to appreciate its diversity. This account implies that the effectiveness of any criticism depends on the variant of RCT we are considering. (shrink)

Following Lauwers and Van Liedekerke (1995), this paper explores in a model-theoretic framework the relation between Arrovian aggregation rules and ultraproducts, in order to investigate a source of impossibility results for the case of an infinite number of individuals and an aggregation rule based on a free ultrafilter of decisive coalitions.

Philosophy and Phenomenological Research, EarlyView.

In this paper, we review two seemingly unrelated debates. In business ethics, the argument is about values: are they universal or emergent? In entrepreneurship, it is about opportunities – are they discovered or constructed? In reality, these debates are similar as they both overlook contingency. We draw insight from pragmatism to define contingency as possibility without necessity. We analyze real-life narratives and show how entrepreneurship and ethics emerge from our discussion as parallel streams of thought.

One of the principles on how to act under moral uncertainty, My Favourite Theory, says roughly that a morally conscientious agent chooses an option that is permitted by the most credible moral theory. In defence of this principle, we argue that it prescribes consistent choices over time, without relying on intertheoretic comparisons of value, while its main rivals are either plagued by moral analogues of money pumps or in need of a method for making non-arbitrary intertheoretic comparisons. We rebut the (...) arguments that have been levelled against My Favourite Theory and offer some arguments against intertheoretic comparisons of value. (shrink)

How do you make decisions under ignorance? That is, how do you decide when you lack subjective probabilities for some of your options’ possible outcomes? One answer is that you follow the Laplace Rule: you assign an equal probability to each state of nature for which you lack a subjective probability (that is, you use the Principle of Indifference) and then you maximize expected utility. The most influential objection to the Laplace Rule is that it is sensitive to the individuation (...) of states of nature. This sensitivity is problematic because the individuation of states seems arbitrary. In this paper, however, I argue that this objection proves too much. I argue that all plausible rules for decisions under ignorance are sensitive to the individuation of states of nature. (shrink)

In order to account for non-traditional preference relations the present paper develops a new, richer framework for preference relations. This new framework provides characterizations of non-traditional preference relations, such as incommensurateness and instability, that may hold when neither preference nor indifference do. The new framework models relations with swaps, which are conceived of as transfers from one alternative state to another. The traditional framework analyses dyadic preference relations in terms of a hypothetical choice between the two compared alternatives. The swap (...) framework extends this approach by analysing dyadic preference relations in terms of two hypothetical choices: the choice between keeping the first of the compared alternatives or swapping it for the second; and the choice between keeping the second alternative or swapping it for the first. (shrink)

Set theoretic formulation of Arrow's theorem, viewedin light of a taxonomy of transitive relations,serves to unmask the theorem's understatedgenerality. Under the impress of the independenceof irrelevant alternatives, the antipode of ceteris paribus reasoning, a purported compilerfunction either breaches some other rationalitypremise or produces the effet Condorcet. Types of cycles, each the seeming handiwork of avirtual voter disdaining transitivity, arerigorously defined. Arrow's theorem erects adilemma between cyclic indecision anddictatorship. Maneuvers responsive theretoare explicable in set theoretic terms. None ofthese gambits rival in (...) simplicity the unassistedescape of strict linear orderings, which, by virtueof the Arrow–Sen reflexivity premise, are notcaptured by the theorem. Yet these are therelations among whose n-tuples the effetCondorcet is most frequent. A generalization andstronger theorem encompasses these and all otherlinear orderings and total tierings. Revisions tothe Arrow–Sen definitions of `choice set' and`rationalization' similarly enable one to generalizeSen's demonstration that some rational choicefunction always exists. Similarly may onegeneralize Debreu's theorems establishing conditionsunder which a binary relation may be represented bya continuous real-valued order homomorphism. (shrink)

The focus of the present study was the rationality of moral behaviour and moral conviction. Assumptions like "morality pays" or "good ethics is good business" are not a priori right. Whether morality as personal conviction is also economically rational or not depends in large part on the institutional setting of a society and the likelihood that immoral behaviour will be sanctioned. The systematic approach to morality thus appears to be political economy and the institutional setting: rules and laws. However, the (...) conditions for morality depend not only on the formal structures but also on the informal structures of rules and sanctions. Hence, the systematic approach to morality is most closely linked with the culture of a society; the efficiency of individual morality depends on social conditions. It is costly for individuals and societies to establish and entertain conditions that set clear incentives for moral behaviour. In this context, moral competencies, learning, and education play a crucial role. (shrink)

An important objection to preference-satisfaction theories of well-being is that these theories cannot make sense of interpersonal comparisons of well-being. A tradition dating back to Harsanyi () attempts to respond to this objection by appeal to so-called extended preferences: very roughly, preferences over situations whose description includes agents’ preferences. This paper examines the prospects for defending the preference-satisfaction theory via this extended preferences program. We argue that making conceptual sense of extended preferences is less problematic than others have supposed, but (...) that even so extended preferences do not provide a promising way for the preference satisfaction theorist to make interpersonal well-being comparisons. Our main objection takes the form of a trilemma: depending on how the theory based on extended preferences is developed, either the result will be inconsistent with ordinary preference-satisfaction theory, or it will fail to recover sufficiently rich interpersonal well-being comparisons, or it will take on a number of other arguably odd and undesirable commitments. (shrink)

An important objection to preference-satisfaction theories of well-being is that they cannot make sense of interpersonal comparisons. A tradition dating back to Harsanyi :434, 1953) attempts to solve this problem by appeal to people’s so-called extended preferences. This paper presents a new problem for the extended preferences program, related to Arrow’s celebrated impossibility theorem. We consider three ways in which the extended-preference theorist might avoid this problem, and recommend that she pursue one: developing aggregation rules that violate Arrow’s Independence of (...) Irrelevant Alternatives condition. (shrink)

Artificial general intelligence is a greatly anticipated technology with non-trivial existential risks, defined as machine intelligence with competence as great/greater than humans. To date, social scientists have dedicated little effort to the ethics of AGI or AGI researchers. This paper employs inductive discourse analysis of the academic literature of two intellectual groups writing on the ethics of AGI—applied and/or ‘basic’ scientific disciplines henceforth referred to as technicians (e.g., computer science, electrical engineering, physics), and philosophy-adjacent disciplines henceforth referred to as PADs (...) (e.g., philosophy, theology, anthropology). These groups agree that AGI ethics is fundamentally about mitigating existential risk. They highlight our moral obligation to future generations, demonstrate the ethical importance of better understanding consciousness, and endorse a hybrid of deontological/utilitarian normative ethics. Technicians favor technocratic AGI governance, embrace the project of ‘solving’ moral realism, and are more deontologically inclined than PADs. PADs support a democratic approach to AGI governance, are more skeptical of deontology, consider current AGI predictions as fundamentally imprecise, and are wary of using AGI for moral fact-finding. (shrink)

Many paradoxes have been revealed in the theory of democracy over the years. This article points to yet another paradox at the heart of democracy, whether in its aggregative or deliberative form.The paradox is this: If you are dealing with a large and heterogeneous community, in which people's choices are menu-sensitive in diverse ways, and if people's cognitive capacities preclude them from considering all items on a large menu simultaneouslythen individuals’ choices may be unstable and manipulable depending on how choices (...) over cognitively-manageable subsets of the menu are partitioned and sequenced, 1 and the collective choice may be likewise unstable and manipulable in consequence.Aggregative democracy casts this argument in terms of ‘alternatives’ on the menu for choice. Deliberative democracy casts this argument in terms of ‘considerations’. The same formal problem arises in both cases. (shrink)

The economic calculation of a central planner has traditionally been argued to result in irrational and inefficient allocation of resources, but this can be reasonably questioned given advances in computing technology, especially artificial intelligence. We conclude that central planning coupled with AI is still unable to allocate resources with the same efficiency as price signals and market forces through examinations of the technical structure of current AI approaches. AI-driven central planning is not viable in part due to incentives, computing power, (...) knowledge/data acquisition, and speed of collection. There are deep incentive problems for planners, programmers, and ordinary participants to complicate efforts at planning and bias data. Most importantly, AI cannot easily or quickly duplicate the signals of relative scarcity that are generated in markets. Some challenges we highlight are pertinent to planning generally, but many others arise from the introduction of an AI-planner. (shrink)

This paper continues the recent tradition of investigating iterated AGM revision by reasoning directly about the dynamics for total pre-order (“implausibility ordering”) representations of AGM revision functions. We reorient discussion, however, by proving that symmetry considerations, almost by themselves, suffice to determine a particular, AGM-friendly implausibility ordering dynamics due to Spohn 1988, which we call “J-revision”. After exploring the connections between implausibility ordering dynamics and the social choice theory of Arrow 1963, we provide symmetry arguments in the social choice-theoretic framework (...) for an interesting generalization of J-revision due to Nayak 1994. We conclude by arguing that the symmetry principles that uniquely favor J-revision and its generalizations are importantly expressive of the purely qualitative framework for representing beliefs that distinguishes the AGM program. Our results therefore comprehensively vindicate Spohn's 1988 conjecture that essentially J-revision is the best that can be done by way of a purely qualitative model of belief revision. (shrink)

When voters’ preferences on candidates are mutually coherent, in the sense that they are at all close to being perfectly single-peaked, perfectly single-troughed, or perfectly polarized, there is a large probability that a Condorcet Winner exists in elections with a small number of candidates. Given this fact, the study develops representations for Condorcet Efficiency of plurality rule as a function of the proximity of voters’ preferences on candidates to being perfectly single-peaked, perfectly single-troughed or perfectly polarized. We find that the (...) widely used plurality rule has Condorcet Efficiency values that behave in very different ways under each of these three models of mutual coherence. (shrink)

Many studies have considered the probability that a pairwise majority rule (PMR) winner exists for three candidate elections. The absence of a PMR winner indicates an occurrence of Condorcet's Paradox for three candidate elections. This paper summarizes work that has been done in this area with the assumptions of: Impartial Culture, Impartial Anonymous Culture, Maximal Culture, Dual Culture and Uniform Culture. Results are included for the likelihood that there is a strong winner by PMR, a weak winner by PMR, and (...) the probability that a specific candidate is among the winners by PMR. Closed form representations are developed for some of these probabilities for Impartial Anonymous Culture and for Maximal Culture. Consistent results are obtained for all cultures. In particular, very different behaviors are observed for odd and even numbers of voters. The limiting probabilities as the number of voters increases are reached very quickly for odd numbers of voters, and quite slowly for even numbers of voters. The greatest likelihood of observing Condorcet's Paradox typically occurs for small numbers of voters. Results suggest that while examples of Condorcet's Paradox are observed, one should not expect to observe them with great frequency in three candidate elections. (shrink)

If an agent is unsure about which moral theory or principle should guide her action in a decision situation, she faces moral uncertainty. In recent years, various strategies have been explored to deal with this type of uncertainty. In this paper, we briefly mention two strategies from the literature that make use of credence distributions over moral theories, namely “my favourite theory” and “maximizing expected choice-worthiness”. As an alternative, we propose a two-step procedure which uses the concept of aggregation over (...) structural properties. It is standard in the theory of collective choice and has recently been applied to the Kuhnian problem of theory choice as well. The idea is to explore how a morally-motivated rational agent may assess different moral theories on the basis of fundamental properties. These properties are ranked on a common scale of qualitative verdicts. This method enables an outside observer to make comparisons across competing moral theories and then conclude to what degree these theories fulfil a set of postulated properties. By doing so, we try to render the reasons more transparent that lie behind different types of credence ascriptions. (shrink)

We investigate the family of concepts that an agent comes to know through a set of defining features, and examine the role played by these features in the process of categorization. In a qualitative framework, categorial membership is evaluated through an order relation among the objects at hand, which translates the fact that an object may fall more than another under a given concept. For concepts defined by their features, this global membership order depends on the degree with which each (...) feature applies to the objects of the universe. The passage from these individual membership degrees to a global membership order poses a problem analogous to vote aggregation in social choice theory. This similarity leads to an original solution that is particularly well-adapted to the framework of cognitive psychology. The resulting membership order extends to compound concepts, and provides a good description of the guppy paradox and the conjunction effect. (shrink)

Many bodies around the world make their decisions through voting systems in which voters have several options and the collective result also has several options. Many of these voting systems are anonymous, i.e., all voters have an identical role in voting. Anonymous simple voting games, a binary vote for voters and a binary collective decision, can be represented by an easy weighted game, i.e., by means of a quota and an identical weight for the voters. Widely used voting systems of (...) this type are the majority and the unanimity decision rules. In this article, we analyze the case in which voters have two or more voting options and the collective result of the vote has also two or more options. We prove that anonymity implies being representable through a weighted game if and only if the voting options for voters are binary. As a consequence of this result, several significant enumerations are obtained. (shrink)

Recent advances in artificial intelligence offer many beneficial prospects. However, concerns have been raised about the opacity of decisions made by these systems, some of which have turned out to be biased in various ways. This article makes a contribution to a growing body of literature on how to make systems for automated decision-making more transparent, explainable, and fair by drawing attention to and further elaborating a distinction first made by Nozick between first-level bias in the application of standards and (...) second-level bias in the choice of standards, as well as a second distinction between discrimination and arbitrariness. Applying the typology developed, a number of illuminating observations are made. First, it is observed that some reported bias in automated decision-making is first-level arbitrariness, which can be alleviated by explainability techniques. However, such techniques have only a limited potential to alleviate first-level discrimination. Second, it is argued that second-level arbitrariness is probably quite common in automated decision-making. In contrast to first-level arbitrariness, however, second-level arbitrariness is not straightforward to detect automatically. Third, the prospects for alleviating arbitrariness are discussed. It is argued that detecting and alleviating second-level arbitrariness is a profound problem because there are many contrasting and sometimes conflicting standards from which to choose, and even when we make intentional efforts to choose standards for good reasons, some second-level arbitrariness remains. (shrink)