The veil of ignorance has been used often as a tool for recommending what justice requires with respect to the distribution of wealth. We complete Harsanyi's model of the veil of ignorance by appending information permitting objective comparisons among persons. In order to do so, we introduce the concept of objective empathy. We show that the veil-of-ignorance conception of John Harsanyi, so completed, and Ronald Dworkin's, when modelled formally, recommend wealth allocations in conflict with the prominently espoused view that priority (...) should be given to the less able in wealth allocation. We finally argue that the veil of ignorance should be rejected as a tool for discovering what justice requires. (shrink)

On the face of it, the protracted public controversy over abortion in the United States and elsewhere might seem to rest on intractable normative questions inaccessible to economic analysis. But an influential early essay in the now sizable philosophical literature on the subject suggests otherwise. Judith Jarvis Thomson disarmingly inclined toward the view that “the fetus has already become a human person well before birth”,. presumably with all the rights pertaining thereto. She denied, however, that such rights necessarily include use (...) of the mother's womb until birth. To illustrate her point, she compared the mother's situation to that, for example, of an unwilling Good Samaritan with a uniquely suited blood type, who is forced to share a kidney for 9 months with a famous, ailing violinist who needed its use for that duration to recover. Even if the life of a human being was at stake, the assertion of rights for the violinist or the fetus, she argued, would be too degrading for either the Good Samaritan's or the mother's status as a person, where large unwanted sacrifices would be required. Reduced to its economic essentials, the argument is that the mother has property rights to her own body, including the right to expel a “trespasser”. who would die as a consequence. Thus, the antiabortion position is neatly undercut by granting its major premise while denying its conclusion. (shrink)

Without doubt, Weighing Lives, like its precursor, Weighing Goods, is an excellent and thought-provoking piece of work. In the first place, it addresses a question of the most fundamental importance, namely: how should we aggregate the well-being of past, present and future members of the human race under the various possible states of the world that may, in the event, prevail? This involves, amongst other things, dealing with questions of aggregation across time, people and different states of the world; the (...) issue of what constitutes a “neutral” state of well-being and what is, in fact, the value of continuing to survive. (shrink)

Upon learning that John C. Harsanyi was awarded the Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel, in 1994, for his pioneering work in game theory, few economists probably questioned the appropriateness of that choice. The Budapest-born social scientist had already been recognized as a first-rank contributor to non-cooperative game theory for some time. However, as many readers of this journal will be aware, Harsanyi first contributed to welfare economics, not game theory. More importantly, he was (...) philosophically minded and accordingly has been “acknowledged as the most influential philosopher in economics”.1 This is of some significance since, before Harsanyi became acquainted with economics around 1950, his main interest was philosophy and, to a lesser extent, sociology and psychology. Rather than an economist with philosophical leanings, Harsanyi was actually a philosopher turned economist. (shrink)

It has been argued that Prioritarianism violates Risky Non-Antiegalitarianism, a condition stating roughly that an alternative is socially better than another if it both makes everyone better off in expectation and leads to more equality. I show that Risky Non-Antiegalitarianism is in fact compatible with Prioritarianism as ordinarily defined, but that it violates some other conditions that may be attractive to prioritarians. While I argue that the latter conditions are not core principles of Prioritarianism, the choice between these conditions and (...) Risky Non-Antiegalitarianism nonetheless constitutes an important intramural debate for prioritarians. (shrink)

We investigate the conflict between the ex ante and ex post criteria of social welfare in a new framework of individual and social decisions, which distinguishes between two sources of uncertainty, here interpreted as an objective and a subjective source respectively. This framework makes it possible to endow the individuals and society not only with ex ante and ex post preferences, as is usually done, but also with interim preferences of two kinds, and correspondingly, to introduce interim forms of the (...) Pareto principle. After characterizing the ex ante and ex post criteria, we present a first solution to their conflict that extends the former as much possible in the direction of the latter. Then, we present a second solution, which goes in the opposite direction, and is also maximally assertive. Both solutions translate the assumed Pareto conditions into weighted additive utility representations, and both attribute to the individuals common probability values on the objective source of uncertainty, and different probability values on the subjective source. We discuss these solutions in terms of two conceptual arguments, i.e., the by now classic spurious unanimity argument and a novel informational argument labelled complementary ignorance. The paper complies with the standard economic methodology of basing probability and utility representations on preference axioms, but for the sake of completeness, also considers a construal of objective uncertainty based on the assumption of an exogeneously given probability measure. JEL classification: D70; D81. (shrink)

Abolitionism is an animal rights' philosophy and social movement which has recently begun to grow. It has been largely contested but the criticisms directed at it have usually been articulated outside academia. In this article, I wish to contend that one of the criticisms directed at abolitionism—that it contains racist implications—is correct. I do this by defending the idea that abolitionism engages in what Eduardo Bonilla-Silva classifies as ‘racism without racists’—an unintentional and subtle form of racism. I present three ways (...) in which abolitionism may be considered racist and then address some possible objections to my view. (shrink)

Altruism is a popular economic explanation for a wide range of pro-social decisions and actions. It has been applied frequently in several different streams of literature, and is a descriptively compelling model of behavior. This paper provides a theoretical framework for the existence of ordinal and cardinal altruistic value functions, as well as altruistic utility functions, based on an altruistic preference relation. Representation theorems are developed to specify relatively weak conditions under which altruistic value and utility functions can be shown (...) to exist. In addition, conditions that lead to additive forms of these functions are provided. (shrink)

In this paper I investigate the possibility of a dictatorship in the context of Harsanyi's Social Aggregation Theorem. Preliminarily, some propositions about Harsanyi's Theorem are presented using an alternative principle that I name Quasi-strong Pareto, which is the latter part of Strong Pareto. Then I define dictatorship as a requirement that social preference agrees with a dictator's preference or those of members of dictatorial group even if their preferences strictly contradict those of all other people in the society. Conclusively, although (...) in each version of Harsanyi's Theorem with Pareto Indifference, Weak Preference Pareto or Weak Pareto the social utility function may have a form of dictatorship, however if individuals' vNM utility functions are all 'individualistic' and Quasi-strong Pareto is satisfied, then the dictatorship is excluded. (shrink)

Cerreia-Vioglio et al. :341–375, 2011) have proposed a very general axiomatisation of preferences in the presence of ambiguity, viz. Monotonic Bernoullian Archimedean preference orderings. This paper investigates the problem of Arrovian aggregation of such preferences—and proves dictatorial impossibility results for both finite and infinite populations. Applications for the special case of aggregating expected-utility preferences are given. A novel proof methodology for special aggregation problems, based on model theory, is employed.

Some moral theories tell you, in some situations in which you are interacting with a group of people, to avoid acting in the way that is expectedly best for everybody. This essay argues that such theories are mistaken. Go ahead and do what is expectedly best for everybody. The argument is based on the thought that when interacting with an individual it is fine for you to act in the expected interests of the individual and that many interactions with individuals (...) may compose an interaction with a group. (shrink)

According to the priority view, or prioritarianism, it matters more to benefit people the worse off they are. But how exactly should the priority view be defined? This article argues for a highly general characterization which essentially involves risk, but makes no use of evaluative measurements or the expected utility axioms. A representation theorem is provided, and when further assumptions are added, common accounts of the priority view are recovered. A defense of the key idea behind the priority view, the (...) priority principle, is provided. But it is argued that the priority view fails on both ethical and conceptual grounds. (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)

Central to the Rawls–Harsanyi dispute is the question of whether the core modeling device of Rawls' theory of justice, the original position, justifies Rawls' principles of justice, as Rawls suggests, or whether it justifies the average utility principle, as Harsanyi suggests. Many commentators agree with Harsanyi and consider this dispute to be primarily about the correct application of normative decision theory to Rawls' original position. I argue that, if adequately conceived, the Rawls–Harsanyi dispute is not primarily a dispute about the (...) correct application of normative decision theory to Rawls' original position. Instead, Rawls and Harsanyi aim to model different moral ideals, and this difference in their moral assumptions leads them to significantly different conclusions about justice. There is no winner in the Rawls–Harsanyi dispute. Instead, the dispute merely clarifies the moral ideals and their formal representations that need to be assumed in order to justify either Rawls' contractualist principles of justice or the average utility principle. Thus understood, the Rawls–Harsanyi dispute offers a promising starting point for future research that can deepen and enrich our understanding of the demands of justice. (shrink)

We reexamine some of the classic problems connected with the use of cardinal utility functions in decision theory, and discuss Patrick Suppes's contributions to this field in light of a reinterpretation we propose for these problems. We analytically decompose the doctrine of ordinalism, which only accepts ordinal utility functions, and distinguish between several doctrines of cardinalism, depending on what components of ordinalism they specifically reject. We identify Suppes's doctrine with the major deviation from ordinalism that conceives of utility functions as (...) representing preference differences, while being non- etheless empirically related to choices. We highlight the originality, promises and limits of this choice-based cardinalism. (shrink)

The article is a plea for ethicists to regard probability as one of their most important concerns. It outlines a series of topics of central importance in ethical theory in which probability is implicated, often in a surprisingly deep way, and lists a number of open problems. Topics covered include: interpretations of probability in ethical contexts; the evaluative and normative significance of risk or uncertainty; uses and abuses of expected utility theory; veils of ignorance; Harsanyi’s aggregation theorem; population size problems; (...) equality; fairness; giving priority to the worse off; continuity; incommensurability; nonexpected utility theory; evaluative measurement; aggregation; causal and evidential decision theory; act consequentialism; rule consequentialism; and deontology. (shrink)

A rule for the acceptance of scientific hypotheses called ‘the principle of cost-benefit dominance’ is shown to be more effective and efficient than the well-known principle of the maximization of expected (epistemic) utility. Harvey's defense of his theory of the circulation of blood in animals is examined as a historical paradigm case of a successful defense of a scientific hypothesis and as an implicit application of the cost-benefit dominance rule advocated here. Finally, various concepts of ‘dominance’ are considered by means (...) of which the effectiveness of our rule may be increased. (shrink)

Peter Vanderschraaf. Game Theory, Evolution and Justice.

This paper explores the different ways in which conditionals can be carriers of good and bad news. I suggest a general measure of the desirability of conditionals, and use it to explore the different ways in which conditionals can have news value. I conclude by arguing that the desirability of a counterfactual conditional cannot be reduced to the desirability of factual propositions.

We introduce a ranking of multidimensional alternatives, including uncertain prospects as a particular case, when these objects can be given a matrix form. This ranking is separable in terms of rows and columns, and continuous and monotonic in the basic quantities. Owing to the theory of additive separability developed here, we derive very precise numerical representations over a large class of domains (i.e., typically notof the Cartesian product form). We apply these representationsto (1)streams of commodity baskets through time, (2)uncertain social (...) prospects, (3)uncertain individual prospects. Concerning(1), we propose a finite horizon variant of Koopmans’s (1960) axiomatization of infinite discounted utility sums. The main results concern(2). We push the classic comparison between the exanteand expostsocial welfare criteria one step further by avoiding any expected utility assumptions, and as a consequence obtain what appears to be the strongest existing form of Harsanyi’s (1955) Aggregation Theorem. Concerning(3), we derive a subjective probability for Anscombe and Aumann’s (1963) finite case by merely assuming that there are two epistemically independent sources of uncertainty. (shrink)

Antimicrobial resistance is a major and increasing problem globally. Economics has engaged with this issue increasingly over the last 20 years. Much of this concerns assessments of the cost of various forms of resistance, but it also includes economic analyses of interventions and policies designed to contain resistance. Analysis has, however, thus far largely neglected possible distributional issues associated with such interventions and analysis. The article explores three normative bases for the conduct of economic analysis: welfarism; extra-welfarism focused on health (...) gain; and extra-welfarism focused on capability assessment. It then considers issues intrinsic to antimicrobial resistance in terms of the distributional implications and how these might be handled within economic analyses from each of the normative perspectives, before considering the actual focus of empirical studies on these distributional issues. The article concludes that the different normative starting points for economic analysis will affect how distributional issues are incorporated into analysis, but suggests that all analyses could benefit from greater discussion of these issues. (shrink)

Risky prospects represent policies that impose different types of risks on multiple people. I present an example from food safety. A utilitarian following Harsanyi's Aggregation Theorem ranks such prospects according to their mean expected utility or the expectation of the social utility. Such a ranking is not sensitive to any of four types of distributional concerns. I develop a model that lets the policy analyst rank prospects relative to the distributional concerns that she considers fitting in the context at hand. (...) I name this model ‘the Distribution View’ posing an alternative to Parfit's Priority View for risky prospects. (shrink)

The Distribution View provides a model that integrates four distributional concerns in the evaluation of risky prospects. Starting from these concerns, we can generate an ordering over a set of risky prospects, or, starting from an ordering, we can extract a characterization of the underlying distributional concerns. Separability of States and/or Persons for multiple-person risky prospects, for single-person risky prospects and for multiple-person certain prospects are discussed within the model. The Distribution View sheds light on public health policies and provides (...) a framework for the discussion of Parfit's Priority View for risky prospects. (shrink)

We examine individuals’ distributional orderings in a number of contexts. This is done by using a questionnaire-experiment that is presented to respondents in any one of seven “flavors” or interpretations of the basic distributional problem. The flavors include inequality, risk, social welfare and justice.

The article shows that a Paretian social welfare function can be history independent and time consistent only if a stringent set of conditions is verified. Individual utilities must be additive. The social welfare function must be a linear combination of these utilities. Social preferences are stationary only if, in addition, all individuals have the same constant discount rate. The results are implemented in two frameworks: deterministic dynamic choice and dynamic choice under uncertainty. The applications highlight that the conditions are unlikely (...) to be met by individual preferences, and that they severely restrict social preferences. (shrink)

Designing a mechanism that provides a direct incentive for an individual to report her utility function over several alternatives is a difficult task. A framework for such mechanism design is the following: an individual (a decision maker) is faced with an optimization problem (e.g., maximization of expected utility), and a mechanism designer observes the decision maker’s action. The mechanism does reveal the individual’s utility truthfully if the mechanism designer, having observed the decision maker’s action, infers the decision maker’s utilities over (...) several alternatives. This paper studies an example of such a mechanism and discusses its application to the problem of optimal social choice. Under certain simplifying assumptions about individuals’ utility functions and about how voters choose their voting strategies, this mechanism selects the alternative that maximizes Harsanyi’s social utility function and is Pareto-efficient. (shrink)

J’arguerai ici que tout en repoussant d’une main une conception du changement social basé sur la sélection naturelle des pratiques sociales et des individus qui y participent, les théories normatives qui font appel à des modélisations des choix sociaux, qu’ils soient de nature économique, politique ou morale, en entretiennent potentiellement les conséquences. Plus précisément, j’arguerai que les modèles que l’on utilise encore le plus volontiers dans les sciences sociales, c’est-à-dire ceux de la théorie des jeux, de la théorie de la (...) décision ou de la négociation rationnelle, contribuent à répercuter, au plan normatif, les deux aspects — social et individuel — de la sélection naturelle. L’argument s’appuie sur une analyse de la théorie standard de l’utilité et montre que la conception de la rationalité maximisante définie dans ce cadre formel incorpore les exigences de la sélection à celles de la rationalité.I shall argue that though most theoreticians of social change firmly refuse normatively to endorse the natural selection of practices and individuals, they sometimes tacitly validate the consequences of such a conception of social change. More precisely, I shall argue that the formal apparatus still often used in social sciences — such as game theory, bargaining theory or decision theory — contribute to carrying on, at the normative level the social and individual aspects of natural selection. The argument rests on an analysis of what has come to be regarded the standard theory of utility and attempts to show that maximising rationality defined in that framework incorporates the requirement of the selection to those of rationality. (shrink)

This is a chapter of a collective volume of Rawls's and Harsanyi's theories of distributive justice. It focuses on Harsanyi's important Social Aggregation Theorem and technically reconstructs it as a theorem in welfarist social choice.

The paper focuses on Anthony de Jasay's "anarcho-liberalism" as based oon his game-theoretic approach to the problem of public goods provision.

The paper first summarizes the author's decision-theoretical model of moral behavior, in order to compare the moral implications of the act-utilitarian and of the rule-utilitarian versions of utilitarian theory. This model is then applied to three voting examples. It is argued that the moral behavior of act-utilitarian individuals will have the nature of a noncooperative game, played in the extensive mode, and involving action-by-action maximization of social utility by each player. In contrast, the moral behavior of rule-utilitarian individuals will have (...) the nature of a cooperative game, played in the normal mode, and involving a firm commitment by each player to a specific moral strategy (viz. to the strategy selected by the rule-utilitarian choice criterion) — even if some individual actions prescribed by this strategy, when considered in isolation, should fail to maximize social utility. The most important advantage that rule utilitarianism as an ethical theory has over act utilitarianism lies in its ability to give full recognition to the moral and social importance of individual rights and personal obligations. It is easy to verify that action-by-action maximization of social utility, as required by act utilitarianism, would destroy these rights and obligations. In contrast, rule utilitarianism can fully recognize the moral validity of these rights and obligations precisely because of its commitment to an overall moral strategy, independent of action-by-action social-utility maximization. The paper ends with a discussion of the voter's paradox problem. The conventional theory of rational behavior cannot avoid the paradoxical conclusion that, in any large electorate, voting is always an irrational activity because one's own individual vote is extremely unlikely to make any difference to the outcome of any election. But it can be shown that, by using the principles of rule-utilitarian theory, this paradox can easily be resolved and that, in actual fact, voting, even in large electorates, may be perfectly rational action. More generally, the example of rule utilitarianism shows what an important role the concept of a rational commitment can play in the analysis of rational behavior. (shrink)

Behaviourism is the view that preferences, beliefs, and other mental states in social-scientific theories are nothing but constructs re-describing people's behaviour. Mentalism is the view that they capture real phenomena, on a par with the unobservables in science, such as electrons and electromagnetic fields. While behaviourism has gone out of fashion in psychology, it remains influential in economics, especially in ‘revealed preference’ theory. We defend mentalism in economics, construed as a positive science, and show that it fits best scientific practice. (...) We distinguish mentalism from, and reject, the radical neuroeconomic view that behaviour should be explained in terms of brain processes, as distinct from mental states. (shrink)

Harsanyi defends utilitarianism by means of an axiomatic proof and by what he calls the 'equiprobability model'. Both justifications of utilitarianism aim to show that utilitarian ethics can be derived from Bayesian rationality and some weak moral constraints on the reasoning of rational agents. I argue that, from the perspective of Bayesian agents, one of these constraints, the impersonality constraint, is not weak at all if its meaning is made precise, and that generally, it even contradicts individual rational agency. Without (...) the impersonality constraint, Harsanyi's two justifications of utilitarianism on the grounds of Bayesian rationality fail. As an alternative, I develop a contractarian framework that is compatible with individual rational agency and Harsanyi's central assumptions, and that allows the derivation of moral conclusions on the grounds of Bayesian rationality. The developed framework offers a novel justification of contractarian ethics and may best be described as a combined version of Harsanyi's equiprobability model and Rawls's original position. (shrink)

Consider a group of people whose preferences satisfy the axioms of one of the current versions of utility theory, such as von Neumann-Morgenstern (1944), Savage (1954), or Bolker-Jeffrey (1965). There are political and economic contexts in which it is of interest to find ways of aggregating these individual preferences into a group preference ranking. The question then arises of whether methods of aggregation exist in which the group’s preferences also satisfy the axioms of the chosen utility theory, and in which (...) at the same time the aggregation process satisfies certain plausible conditions (e.g., the Pareto conditions below). (shrink)

The concept of well-being is central to the subject matter of moral philosophy as well as economics. According to some moral theorists morality is about the maximization of social well-being. According to others, notably John Rawls we ought to give particular priority to the worst off members in society. Both these and other moral positions, whatever the priority they attach to different members of society in arriving at moral judgements, require an account of well-being or advantage. The concern with well-being (...) is thus of foundational importance in moral philosophy, even if well-being is not thought of as all that matters. Furthermore, those who want to distinguish ‘morality’ from ‘self-interest’ must furnish us with an account of human interests, so that we can distinguish the moral realm from that of self-interest or prudence. The concerns of moral philosophers, here, clearly overlap with those of economists. Economists are much concerned with questions of how well people are doing, with their ‘standard of living’ or ‘quality of life’. However, there are very different ways of thinking about each of these ideas. Indeed, we need to discriminate between different views of the quality of life and to decide which is the most appropriate for the purposes of moral theory and the normative parts of economics. (shrink)

Philosophers often assume that we can somehow quantitatively measure how good things are for people. But what does such talk mean? And what are the measures? In *Weighing Goods* John Broome offers one treatment of these questions. In his later *Weighing Lives* he offers a different treatment. This article discusses both positions but advocates a third. But while the three positions disagree about matters of meaning, they agree about the form of the measures. Roughly speaking, they are such that the (...) goodness of a lottery for an individual is equal to its expected goodness for her. (shrink)

Decision-making typically requires judgments about causal relations: we need to know the causal effects of our actions and the causal relevance of various environmental factors. We investigate how several individuals' causal judgments can be aggregated into collective causal judgments. First, we consider the aggregation of causal judgments via the aggregation of probabilistic judgments, and identify the limitations of this approach. We then explore the possibility of aggregating causal judgments independently of probabilistic ones. Formally, we introduce the problem of causal-network aggregation. (...) Finally, we revisit the aggregation of probabilistic judgments when this is constrained by prior aggregation of qualitative causal judgments. (shrink)

A natural formalization of the priority view is presented which results from adding expected utility theory to the main ideas of the priority view. The result is ex post prioritarianism. But ex post prioritarianism entails that in a world containing just one person, it is sometimes better for that person to do what is strictly worse for herself. This claim may appear to be implausible. But the deepest objection to ex post prioritarianism has to do with meaning: ex post prioritarianism (...) is not a genuine alternative to utilitarianism in the first place. By contrast, ex ante prioritarianism is defensible. But its motivation is very different from the usual rationales offered for the priority view. Given their hostility to egalitarianism, most supporters of the priority view have not provided reasons to reject utilitarianism. (shrink)

Problems of Rationality is the eagerly awaited fourth volume of Donald Davidson 's philosophical writings. From the 1960s until his death in August 2003 Davidson was perhaps the most influential figure in English-language philosophy, and his work has had a profound effect upon the discipline. His unified theory of the interpretation of thought, meaning, and action holds that rationality is a necessary condition for both mind and interpretation. Davidson here develops this theory to illuminate value judgements and how we understand (...) them; to investigate what the conditions are for attributing mental states to an object or creature; and to grapple with the problems presented by thoughts and actions which seem to be irrational. Anyone working on knowledge, mind, and language will find these essays essential reading. (shrink)

Following a long-standing philosophical tradition, impartiality is a distinctive and determining feature of moral judgments, especially in matters of distributive justice. This broad ethical tradition was revived in welfare economics by Vickrey, and above all, Harsanyi, under the form of the so-called Impartial Observer Theorem. The paper offers an analytical reconstruction of this argument and a step-wise philosophical critique of its premisses. It eventually provides a new formal version of the theorem based on subjective probability.

This paper explores the problem of comparing the strengths of different individual's attitudes, and especially their evaluative attitudes, by looking at how measures of these quantities are obtained. I argue that comparisons of both strengths of belief and relative strengths of preference and desire are justified by the causal role they play in the production of action.

Game theory is the systematic study of interdependent rational choice. It should be distinguished from decision theory, the systematic study of individual (practical and epistemic) choice in parametric contexts (i.e., where the agent is choosing or deliberating independently of other agents). Decision theory has several applications to ethics (see Dreier 2004; Mele and Rawlings 2004). Game theory may be used to explain, to predict, and to evaluate human behavior in contexts where the outcome of action depends on what several agents (...) choose to do and where their choices depend on what others choose to do. (See the entry on game theory) Game theory consequently is relevant to ethics, and it is used in moral and political philosophy in a variety of ways. We shall concentrate on the influence and use of game theory in ethics and those parts of political theory involving norms or principles of justice, ignoring questions about political and legal institutions on the one hand and questions about issues dealing with moral virtues on the other. (shrink)

This is a comprehensive anthology of works concerning the nature of economics as a science, including classic texts and essays exploring specific branches and schools of economics. Apart from the classics, most of the selections in the third edition are new, as are the introduction and bibliography. No other anthology spans the whole field and offers a comprehensive introduction to questions about economic methodology.

I will characterize the utilitarian and maximin rules of social choice game-theoretically. That is, I will introduce games whose solutions are the utilitarian and maximin distributions respectively. Then I will compare the rules by exploring similarities and differences between these games. This method of comparison has been carried out by others. But I characterize the two rules using games that involve bargaining within power structures. This new characterization better highlights the ethical differences between the rules.