Collaboration is increasingly popular across academia. Collaborative work raises certain ethical questions, however. How will the fruits of collaboration be divided? How will the work for the collaborative project be split? In this paper, we consider the following question in particular. Are there ways in which these divisions systematically disadvantage certain groups? We use evolutionary game theoretic models to address this question. First, we discuss results from O'Connor and Bruner (unpublished). In this paper, we show that underrepresented groups in academia (...) can be disadvantaged in such situations by dint of their small numbers. Second, we present novel results exploring how the hierarchical structure of academia can lead to bargaining disadvantage. We investigate models where one actor has a higher baseline of academic success, less to lose if collaboration goes south, or greater rewards for non-collaborative work. We show that in these situations, the less powerful partner is disadvantaged in bargaining over collaboration. (shrink)

This paper examines robustly Humean solutions to temptation cases. Such cases are typically characterized by a pattern of preference reversal: at an initial time t1, an agent prefers not to give in to a temptation; at a later time t2, when the temptation becomes imminent, this preference reverses; and at a subsequent time t3 after the agent has either succumbed to or resisted the temptation, the preference often reverts again. Standard Humean accounts of rationality and motivation face a difficulty here. (...) If, as these accounts maintain, agents are motivated to act in accordance with their desires, and rationality consists in doing so, then it is unclear how resisting the t2 preference could be rational—or even possible. I begin by clarifying what a robustly Humean solution must involve and I argue that existing proposals in the literature fail to meet these criteria. I then offer my own solution. I propose that temptation cases are best understood as involving a persistent conflict among the agent’s desires, and I model this conflict using Nash bargaining. I show that this model is robustly Humean with respect to both motivation and rationality, and that it identifies resisting temptation as uniquely rational in many temptation cases. (shrink)

Collaboration is increasingly popular across academia. Collaborative work raises certain ethical questions, however. How will the fruits of collaboration be divided? How will academics divide collaborative labor? This chapter considers the following question in particular. Are there ways in which these divisions systematically disadvantage certain groups? The chapter uses evolutionary game theoretic models to address this question. First, it discusses results from O'Connor and Bruner (2015) showing that underrepresented groups in academia can be disadvantaged in collaboration and bargaining by (...) dint of their small numbers. Second, it presents novel results exploring how the hierarchical structure of academia can lead to bargaining disadvantage. The chapter investigates models where one actor has a higher baseline of academic success, less to lose if collaboration goes south, or greater rewards for non-collaborative work. The chapter shows that in these situations, the less powerful partner can be disadvantaged in bargaining over collaboration. (shrink)

Consider bargaining situations with two persons, where both have a specific idea of what would be an equitable outcome. In case these ideas differ, a procedure is needed which leads to a compromise between the different views. In the present paper the axioms of restricted homogeneity and of relative monotonicity are introduced, each of which, together with other standard conditions, allows one to determine a solution for this class of bargaining problems. An extension of this solution to (...) class='Hi'>bargaining problems with more than two persons is formulated. (shrink)

Recently, philosophers have investigated the emergence and evolution of the social contract. Yet extant work is limited as it focuses on the use of simple behavioral norms in rather rigid strategic settings. Drawing on axiomatic bargaining theory, we explore the dynamics of more sophisticated norms capable of guiding behavior in a wide range of scenarios. Overall, our investigation suggests the utilitarian bargaining solution has a privileged status as it has certain stability properties other social arrangements lack.

Prevailing literature argues that arguing is the only appropriate mode of deliberation. The literature acknowledges bargaining, story telling, and other forms of communication, but is unwilling to describe these as deliberation, properly speaking. The claim is that describing them as such would amount to concept stretching. In this article I argue that arguing exhausts neither the legitimate modes of deliberation nor the modes for effective deliberation. To do this I delineate two basic categories of issues we normally deliberate upon, (...) and demonstrate that arguing is more appropriate for one category, not so appropriate for the other. (shrink)

This article argues that systematic comparative analyses of women's strategies and coping mechanisms lead to a more culturally and temporally grounded understanding of patriarchal systems than the unqualified, abstract notion of patriarchy encountered in contemporary feminist theory. Women strategize within a set of concrete constraints, which I identify as patriarchal bargains. Different forms of patriarchy present women with distinct “rules of the game” and call for different strategies to maximize security and optimize life options with varying potential for active or (...) passive resistance in the face of oppression. Two systems of male dominance are contrasted: the sub-Saharan African pattern, in which the insecurities of polygyny are matched with areas of relative autonomy for women, and classic patriarchy, which is characteristic of South and East Asia as well as the Muslim Middle East. The article ends with an analysis of the conditions leading to the breakdown and transformation of patriarchal bargains and their implications for women's consciousness and struggles. (shrink)

We consider a spatial bargaining model where players collectively choose a facility location on a two-dimensional rectilinear distance space through bargaining using the unanimity rule. We show that as players become infinitely patient, their stationary subgame perfect equilibrium utilities converge to the utilities that satisfy the lexicographic maximin utility criterion introduced by Sen (Collective choice and social welfare, 1970).

As well as disagreeing about how much one should donate to charity, moral theories also disagree about where one should donate. In light of this disagreement, how should the morally uncertain philanthropist allocate her donations? In many cases, one intuitively attractive option is for the philanthropist to split her donations across all of the charities that are recommended by moral views in which she has positive credence, with each charity’s share being proportional to her credence in the moral theories that (...) recommend that particular charity. Despite the fact that something like this approach is already being used by real-world philanthropists to distribute billions of dollars of donations, it is not supported by any of the approaches to moral uncertainty that have been proposed thus-far in the philosophical literature. In this paper, we will develop a bargaining-based approach to moral uncertainty that honors the proportionality intuition in favor of splitting one’s donations. We also show how this bargaining-based approach has several further advantages over the best alternative proposals. (shrink)

Nick Bostrom and others have suggested treating decision-making under moral uncertainty as analogous to parliamentary decision-making. The core suggestion of this “parliamentary approach” is that the competing moral theories function like delegates to the parliament, and that these delegates then make decisions by some combination of bargaining and voting. There seems some reason to hope that such an approach might avoid standard objections to existing approaches (for example, the “maximise expected choiceworthiness” (MEC) and “my favourite theory” approaches). However, the (...) parliamentary approach is so far extremely underspecified, making it largely indeterminate how such a model will in fact behave in the respects that those concerned with moral uncertainty care about. This paper explores one way of making it precise. We treat predicaments of moral uncertainty as analogous to bargaining situations alone (setting aside voting), and apply a version of the Nash solution that is standard in bargaining theory. The resulting model does indeed perform in many of the hoped-for ways. However, so also does a version of MEC that employs a structural approach to intertheoretic comparisons. It seems to us an open question which, regarding this version of MEC and the bargaining-theoretic approach, is superior to the other. We identify the key points on which the two differ. (shrink)

The development of AI sentencing algorithms raises the prospect of more consistent and transparent sentencing outcomes. However, the hoped-for improvements in sentencing may not occur in legal jurisdictions that permit prosecutors an outsized role in determining sentencing outcomes through plea bargaining. In what I term “robust” plea bargaining regimes, prosecutors often view charging decisions and sentencing recommendations strategically. They negotiate them in ways aimed primarily at producing guilty pleas rather than producing consistent or truthful outcomes. Prosecutors in such (...) regimes might resist efforts to make the plea deals they forge more consistent and transparent. Given the centrality of charging decisions in determining sentencing outcomes in robust plea bargaining regimes, I examine the feasibility of devising AI charging algorithms. (shrink)

Democracy, as collective self-government by citizens, rests on citizens’ capacity to bargain in good faith with those whose interests are not their own. Fair bargains that ensure adequate security and welfare rest on an implicit agreement: Each citizen recognizes that sectional interests (including our conceptions of ideal justice) will never be fully realized, but they are better off inside the bargain than outside of it, and will bargain again another day. Striking and revising civic bargains depend on the education of (...) citizens: In aggregate, the citizenry must develop the requisite civic skills, political knowledge, and capacity for judgment. (shrink)

Abstract:I examine from a conventionalist perspective the Nash bargaining problem that philosophers use as a tool for analyzing fair division. From this perspective, the solutions to bargaining problems are conventions that can emerge from inductive learning and focal point effects. I contrast the conventionalist approach to analyzing the bargaining problem with the better-known rational choice approach, which I criticize for having overly demanding epistemic presuppositions and for producing disappointing results. I apply a simple model of inductive learning (...) to specific bargaining problems to show that agents can learn from repeated experience to follow a variety of bargaining conventions in a given problem. I conclude that such agents can come to regard two such conventions as focal for the bargaining problem, one that assigns claimants equal shares of a good and another egalitarian solution of equal payoff gains, and that the egalitarian solution tends to prevail when these two solutions differ. I conclude further that the above analysis lends support for admitting interpersonal utility comparisons into the analysis of fair division problems, and also suggests a focal point explanation of the wide acceptance of the Aristotelian proportionality principle of distributive justice. (shrink)

In this paper we deal with the extension of Nash bargaining theory to nonconvex problems. By focussing on the Social Welfare Ordering associated with a bargaining solution, we characterize the symmetric Nash Bargaining Solution (NBS). Moreover, we obtain a unified method of proof of recent characterization results for the asymmetric single-valued NBS and the symmetric multivalued NBS, as well as their extensions to different domains.

This paper studies a generalization of Rubinstein's bargaining model with retractable offers. The model incorporates and parameterizes the bargainers' perceptions on the retractability of offers. Our key result characterizes the limiting set of perfect equilibria as the time interval between two consecutive offers tends to zero. In this limit, for any possible players' perceptions on the retractability of offers such that at least one of the players perceives that there is at least a small chance that offers may be (...) retractable, the bargaining game possesses a continuum of perfect equilibria. (shrink)

Collaboration is increasingly popular across academia. Collaborative work raises certain ethical questions, however. How will the fruits of collaboration be divided? How will the work for the collaborative project be split? In this paper, we consider the following question in particular. Are there ways in which these divisions systematically disadvantage certain groups? We use evolutionary game theoretic models to address this question. First, we discuss results from O'Connor and Bruner showing that underrepresented groups in academia can be disadvantaged in collaboration (...) and bargaining by dint of their small numbers. Second, we present novel results exploring how the hierarchical structure of academia can lead to bargaining disadvantage. We investigate models where one actor has a higher baseline of academic success, less to lose if collaboration goes south, or greater rewards for non-collaborative work. We show that in these situations, the less powerful partner can be disadvantaged in bargaining over collaboration. (shrink)

The question of what a group of rational agents would agree on were they to deliberate on how to organise society is central to all hypothetical social contract theories. If morality is to be based on a social contract, we need to know the terms of this contract. One type of social contract theory, contractarianism, aims to derive morality from rationality alone. Contractarians need to show, amongst other things, that rational and self-interested individuals would agree on an impartial division of (...) a cooperative surplus. But it is often claimed that contractarians cannot show this without introducing moral assumptions. This paper argues that on the right understanding of the question contractarians are asking, these worries can be answered. Without relying on moral assumptions, the paper offers a novel derivation of symmetry, which is the axiom responsible for the impartiality of the most famous economic bargaining solutions appealed to by contractarians. (shrink)

The discipline of public health has begun to recognize the structural inequities of the carceral system as drivers of poor individual and population health. The number of people incarcerated and the length of their incarceration determine the scope and gravity of their exposure to these individual and public health effects. Plea bargains all but guarantee a period of incarceration, often for many years, because prosecutors have significant bargaining power against defendants who often do not fully understand their rights or (...) the likelihood of receiving the sentences that prosecutors would be seeking in trial. I propose and analyze several pathways through which to eliminate or severely restrict the practice of plea bargaining to minimize the health effects associated with incarceration. I conclude that state legislation would be most feasible and effective at eliminating plea bargains but, without concurrent interventions addressing mandatory minima and/or bail, would not fundamentally address the primary concerns of sentence length and overcrowding. (shrink)

On occasion, in multilateral negotiations, interested parties make unilateral demands. Certain agreements need unanimity. However, a lesser degree of consensus may be feasible. In this paper, an alternating demand bargaining game among n players is proposed, which envisages varying consensus requirements and commitment, both crucial in generating a unique and efficient outcome of the bargaining process.

From a traditional moral point of view, business practitioners often seem overly concerned about the behavior of their peers in deciding how they ought to act. We propose to account for this concern by introducing a mutual trust perspective, where moral obligations are grounded in a sense of trust that others will abide by the same rules. when grounds for trust are absent, the obligation is weakened. We illustrate this perspective by examining the widespread ambivalence with regard to deception about (...) one's settlement preferences in negotiation. On an abstract level, such deception generally seems undesirable, though in many individual cases it is condoned, even admired as shrewd bargaining. Because of the difficulty in verifying someone's settlement preferences, it is hard to establish a basis for trusting the revelations of the other party, especially in competitive negotiations with relative strangers. (shrink)

Does the “free market” foster more freedom for individuals generally and less coercion? Libertarians and other market advocates argue that the unfettered market maximizes freedom and hence has less coercion than any feasible alternative. Welfare liberals, Socialist, and Marxists, in different ways, argue against the claim that the unrestricted market maximizes freedom generally. Both supporters and critics agree that coercion undermines freedom and that that is what is ultimately prima facie wrong with it. Further, they agree that the extent to (...) which an economic system includes coercion provides a serious strike against it. The problem is that there is little consensus on the necessary conditions for coercion. In this paper I will be concerned with the nature of coercive relationships in the market. Market interactions have a particular character and occur within a specific institutional framework. Other accounts of coercion have failed to capture the unique character of coercion in the market because they have failed to take into account certain nontrivial facts about the market which are essential to the analysis of coercive market relations. (shrink)

Cultural evolutionary models of bargaining can elucidate issues related to fairness and justice, and especially how fair and unfair conventions and norms might arise in human societies. One line of this research shows how the presence of social categories in such models creates inequitable equilibria that are not possible in models without social categories. This is taken to help explain why in human groups with social categories, inequity is the rule rather than the exception. But in previous models, it (...) is typically assumed that these categories are rigid – in the sense that they cannot be altered, and easily observable – in the sense that all agents can identify each others’ category membership. In reality, social categories are not always so tidy. We introduce evolutionary models where the tags connected with social categories can be flexible, variable, or difficult to observe, i.e. where these tags can carry different amounts of information about group membership. We show how alterations to these tags can undermine the stability of unfair conventions. We argue that these results can inform projects intended to ameliorate inequity, especially projects that seek to alter the properties of tags by promoting experimentation, imitation, and play with identity markers. (shrink)

Two agents endowed with different categorisations engage in bargaining to reach an understanding and agree on a common categorisation. We model the process as a simple non-cooperative game and demonstrate three results. When the initial disagreement is focused, the bargaining process has a zero-sum structure. When the disagreement is widespread, the zero-sum structure disappears and the unique equilibrium requires a retraction of consensus: two agents who individually associate a region with the same category end up rebranding it under (...) a different category. Finally, we show that this last equilibrium outcome is Pareto dominated by a cooperative solution that avoids retraction; that is, the unique equilibrium agreement may be inefficient. (shrink)

From a traditional moral point of view, business practitioners often seem overly concerned about the behavior of their peers in deciding how they ought to act. We propose to account for this concern by introducing a mutual trust perspective, where moral obligations are grounded in a sense of trust that others will abide by the same rules. when grounds for trust are absent, the obligation is weakened. We illustrate this perspective by examining the widespread ambivalence with regard to deception about (...) one's settlement preferences in negotiation. On an abstract level, such deception generally seems undesirable, though in many individual cases it is condoned, even admired as shrewd bargaining. Because of the difficulty in verifying someone's settlement preferences, it is hard to establish a basis for trusting the revelations of the other party, especially in competitive negotiations with relative strangers. (shrink)

Recent theoretical work has argued that moral psychology can be understood through the lens of “resource rational contractualism.” The view posits that the best way of making a decision that affects other people is to get everyone together to negotiate under idealized conditions. The outcome of that negotiation is an arrangement (or “contract”) that would lead to mutual benefit. However, this ideal is seldom (if ever) practical given the resource demands (time, information, computational processing power) that are required. Instead, the (...) theory proposes that moral psychology is organized around a series of resource-rational approximations of the contractualist ideal, efficiently trading off between more resource-intensive, accurate mechanisms and less. This paper presents empirical evidence and a cognitive model that test a central claim of this view: when the stakes of the situation are high, then more resource-intensive processes are engaged over more approximate ones. We present subjects with a case that can be judged using virtual bargaining—a resource-intensive process that involves simulating what two people would agree to—or by simply following a standard rule. We find that about a third of our participants use the resource-rational approach, flexibly switching to virtual bargaining in high-stakes situations, but deploying the simple rule when stakes are low. A third of the participants are best modeled as consistently using the strict rule-based approach and the remaining third as consistently using virtual bargaining. A model positing the reverse resource-rational hypothesis (that participants use more resource-intensive mechanisms in lower stakes situations) fails to capture the data. (shrink)

Evolutionary accounts of morality consider behavior in rather simple scenarios. Evolutionary work on fairness focuses on the division of a windfall and, importantly, assumes that the positions of those involved are entirely symmetric. I consider more complicated strategic settings and find that there is a strong tendency for evolution to produce divisions consistent with the so-called Nash bargaining solution. I also uncover the evolutionary importance of comprehensiveness, an often-overlooked feature of division problems.

Bargaining with neighbors on a spatial grid is compared with bargaining with strangers in a random encounter model. The results are strikingly different. In random encounters the population may all adopt the equal split in a symmetric bargaining situation, but may alternatively break into greedy and modest types. In bargaining with neighbors, the equal split is contagious.

The question of what a group of rational agents would agree on were they to deliberate on how to organise society is central to all hypothetical social contract theories. If morality is to be based on a social contract, we need to know the terms of this contract. One type of social contract theory, contractarianism, aims to derive morality from rationality alone. Contractarians need to show, amongst other things, that rational and self-interested individuals would agree on an impartial division of (...) a cooperative surplus. But it is often claimed that contractarians cannot show this without introducing moral assumptions. This paper argues that on the right understanding of the question contractarians are asking, these worries can be answered. Without relying on moral assumptions, the paper offers a novel derivation of symmetry, which is the axiom responsible for the impartiality of the most famous economic bargaining solutions appealed to by contractarians. (shrink)

Bargaining and distribution of benefits accruing from social cooperation are central topics in contractarian accounts of morality or distributive justice in general and David Gauthier’s Morals by Agreement in particular. In this paper, I raise some problems for MbA both with regards to bargaining over the benefits of social cooperation and the distribution of such benefits. The worries I raise piggyback on a couple of Jan Narveson’s earlier queries of some of the topics in MbA: those of ‘questionable (...) foundation’ and redundancy. However, I go beyond the substance of these queries by arguing that they raise fundamental worries about the correctness of the description of the elements of the bargaining situation, and the role and significance of agreement in MbA. (shrink)

A bargaining solution is a social compromise if it is metrically rationalizable, i.e., if it has an optimum (depending on the situation, smallest or largest) distance from some reference point. We explore the workability and the limits of metric rationalization in bargaining theory where compromising is a core issue. We demonstrate that many well-known bargaining solutions are social compromises with respect to reasonable metrics. In the metric approach, bargaining solutions can be grounded in axioms on how (...) society measures differences between utility allocations. Using this approach, we provide an axiomatic characterization for the class of social compromises that are based on p-norms and for the attending bargaining solutions. We further show that bargaining solutions which satisfy Pareto Optimality and Individual Rationality can always be metrically rationalized. (shrink)

Virtual bargaining theory suggests that social agents aim to resolve non-cooperative games by identifying the strategy profile which they would agree to play if they could openly bargain. The theory thus offers an explanation of how social agents resolve games with multiple Nash equilibria. One of the main questions pertaining to this theory is how the principles of the bargaining theory could be applied in the analysis of hypothetical bargaining in non-cooperative games. I propose a bargaining (...) model based on the benefit-equilibrating bargaining solution concept for non-cooperative games, broadly in line with the principles underlying Conley and Wilkie's ordinal egalitarian solution for Pareto optimal point selection problems with finite choice sets. I provide formal characterizations of the ordinal and the cardinal versions of BES, discuss their application to n-player games, and compare model's theoretical predictions with the data available from several experiments involving `pie games'. (shrink)

It is argued that the Nash bargaining solution cannot serve as a principle of distributive justice because (i) it cannot secure stable cooperation in repeated interactions and (ii) it cannot capture our moral intuitions concerning distributive questions. In this article, I propose a solution to the first problem by amending the Nash bargaining solution so that it can maintain stable cooperation among rational bargainers. I call the resulting principle the stabilized Nash bargaining solution. The principle defends justice (...) in the form 'each according to her basic needs and above this level according to her relative bargaining power'. In response to the second problem, I argue that the stabilized Nash bargaining solution can serve as a principle of distributive justice in certain situations where moral reasoning is reduced to instrumental reasoning. In particular, I argue that rational individuals would choose the stabilized Nash bargaining solution in Rawls' original position. (shrink)

David Gauthier's Morals by Agreement presents a partial theory of distributive justice. It is partial because it applies only to the distribution of gains from joint endeavors, or what we may call the ‘social surplus’ from cooperation. This surplus is the benefit we receive from cooperation insofar as this is greater than what we might have produced through individual efforts without interaction with others. The central core of Gauthier's theory of distributive justice is his bargaining theory of ‘minimax relative (...) concession’ or MRC. Whether his theory is compelling turns essentially on whether MRC is workable and compelling. It is this issue that I wish to address. (shrink)

In this paper we examine the merit of bargaining theory, in its economic and ecological forms, as a model for understanding variation in the frequency of participation in cooperative fishing among men of Ifaluk atoll in Micronesia. Two determinants of bargaining power are considered: resource control and a bargainer’s utility gain for his expected share of the negotiated resource. Several hypotheses which relte cultural and life-course parameters to bargaining power are tested against data on the frequency of (...) cooperative sail-fishing participation. Consistent with predictions generated from bargaining theory, we show that (1) age is negatively correlated with cooperative fishing participation, (2) men of highranking clans and men with high levels of education fish less than men of low-ranking clans and less-educated men, (3) men with high expected utility gains from fishing returns fish more than men with low expected utility gains, (4) number of dependents is positively correlated with cooperative fishing participation, and (5) the number of young genetic offspring residing with a man is positively correlated with cooperative fishing participation, whereas the number of genetic offspring more than 13 years old who are residing with a man is negatively correlated with cooperative fishing participation. (shrink)

My concern in this paper is with the illumination that the theory of rational bargaining sheds on the formulation of principles of justice. I shall first set out the bargaining problem, as treated in the theory of games, and the Nash solution, or solution F. I shall then argue against the axiom, labeled “independence of irrelevant alternatives,” which distinguished solution F, and also against the Zeuthen model of the bargaining process which F formalizes.

For contractarians, justice is the result of a rational bargain. The goal is to show that the rules of justice are consistent with rationality. The two most important bargaining theories of justice are David Gauthier’s and those that use the Nash’s bargaining solution. I argue that both of these approaches are fatally undermined by their reliance on a symmetry condition. Symmetry is a substantive constraint, not an implication of rationality. I argue that using symmetry to generate uniqueness undermines (...) the goal of bargaining theories of justice. (shrink)

We study a multilateral bargaining problem, where the buyer intends to purchase a subset of available items, each owned by a seller. The subset purchased must satisfy a notion of contiguity, which is modeled using graphs. The graph theoretic approach allows us to study different degrees of complementarity and substitutability between items. It also allows us to examine how degrees of complementarity and substitutability affect the share of surplus obtained by the buyer in the equilibrium of the bargaining (...) game. We characterize necessary and sufficient conditions on the graphs for the buyer to extract full surplus in subgame perfect equilibrium. When the conditions are not met, we provide upper bounds on the equilibrium surplus share of the buyer. (shrink)

The first unified and systematic treatment of the modern theory of bargaining, presented together with many examples of how that theory is applied in a variety of bargaining situations. Abhinay Muthoo provides a masterful synthesis of the fundamental results and insights obtained from the wide-ranging and diverse bargaining theory literature. Furthermore, he develops new analyses and results, especially on the relative impacts of two or more forces on the bargaining outcome. Many topics - such as inside (...) options, commitment tactics and repeated bargaining situations - receive their most extensive treatment to date. In the concluding chapter, he offers pointers towards future research. Bargaining Theory with Applications is a textbook for graduate students in economic theory and other social sciences and a research resource for scholars interested in bargaining situations. (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 Strategic Bargaining and Cooperation in Greenhouse Gas Mitigations, Zili Yang connects these two important approaches by incorporating various game theoretic solution concepts into a well-known integrated assessment model of climate ...

Men and women have always bargained for sex. In Hard Bargains, philosopher-lawyer Linda Hirshman and legal historian Jane Larson provide the first complete analysis of power in heterosexual relationships, combining an eye-opening legal history of sexual regualtion with thought-provoking predictions of what the future might bring.

Two players bargain to select a utility allocation in some set X⊂R+2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X\subset {\mathbb {R}}_+^2$$\end{document}. Bargaining takes place in infinite discrete time, where each period t is divided into two sub-periods. In the first sub-period, the players play a simultaneous-move game to determine that period’s proposer, and bargaining takes place in the second sub-period. Rejection triggers a one-period delay and move to t+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} (...) \begin{document}$$t+1$$\end{document}. For every x∈X∩R++2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x\in X\cap {\mathbb {R}}^2_{++}$$\end{document}, there exists a cutoff δ<1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta <1$$\end{document}, such that if at least one player has a discount factor above δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta $$\end{document}, then for every y∈X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$y\in X$$\end{document} that satisfies y≥x\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$y\ge x$$\end{document} there exists a subgame perfect equilibrium with immediate agreement on y. The equilibrium is supported by “dictatorial threats.” These threats can be dispensed with if X is the unit simplex and the target-vector is Pareto efficient. The results can be modified in a way that allows for arbitrarily long delays in equilibrium. (shrink)

The notion of a defendant submitting a false guilty plea due to the penal incentive offered is not an uncommon phenomenon. While the practice has been legitimised based on the defendant’s voluntary informed consent, it has often been argued that the structure of the plea-bargaining practice is coercive. Such can be the case whenever the plea offer entails a significant sentence differential, discrepancy in the form of punishment (a non-custodial sentence relative to a custodial one), or when the alternative (...) of pleading guilty includes the risk of capital punishment. Having said that, plea-bargains have often been classified as a “non-coercive offer”, whether due to their advantageous mutual character according to a baseline conception of coercion or being an offer that one can overcome according to an irresistible psychological account. While many scholars have struggled with the ambiguous notion of “coercive offers,” the paper offers an alternative approach, arguing that it is the type of reasons to be considered within the offer that renders the bargain less than fully autonomous. It will be argued that the plea-bargain proposition infuses irrelevant (guilt-uncorrelated) penal considerations unrelated to the question of guilt. Such considerations are the wrong kind of reason for the guilty-plea decision, and due to the defendant’s dependency on the plea offer, they distort the defendant’s intentional character of her autonomous decision. It is part of the conception of the guilty plea. Though a defendant may autonomously intend to consider irrelevant penal considerations, such a decision cannot be genuinely considered a decision regarding the admission of guilt. (shrink)

We consider bargaining situations where two players evaluate outcomes with reference-dependent utility functions, analyzing the effect of differing levels of loss aversion on bargaining outcomes. We find that as with risk aversion, increasing loss aversion for a player leads to worse outcomes for that player in bargaining situations. An extension of Nash's axioms is used to define a solution for bargaining problems with exogenous reference points. Using this solution concept we endogenize the reference points into the (...) model and find a unique solution giving reference points and outcomes that satisfy two reasonable properties, which we predict would be observed in a steady state. The resulting solution also emerges in two other approaches, a strategic (non-cooperative) approach using Rubinstein's (1982) alternating offers model and a dynamic approach in which we find that even under weak assumptions, outcomes and reference points converge to the steady state solution from any non-equilibrium state. (shrink)

This second Cambridge University Press collection of papers by Vernon L. Smith, a creator of the field of experimental economics, includes many of his primary authored and coauthored contributions on bargaining and market behavior between 1990 and 1998. The essays explore the use of laboratory experiments to test propositions derived from economics and game theory. They also investigate the relationship between experimental economics and psychology, particularly the field of evolutionary psychology, using the latter to broaden the perspective in which (...) experimental results are interpreted. The volume complements Professor Smith's earlier work by demonstrating the importance of institutional features of markets in understanding behavior and market performance. Specific themes investigated include rational choice, the notion of fairness, game theory and extensive form experimental interactions, institutions and market behavior, and the study of laboratory stock markets. (shrink)

Although there has been significant attention in clinical ethics to when physicians should follow a parent’s wishes, there has been much less discussion of the obligation to solicit viewpoints and decisions from all caregivers who have equal moral and legal standing in relation to a pediatric patient. How should healthcare professionals respond when one caregiver dominates decision making? We present a case that highlights how these problems played out in an ethical bargain. Ethical bargaining occurs when the parties involved (...) choose not to pursue a morally preferable option for the sake of coming to a resolution. This case is not one of parental disagreement; rather, the medical team agreed to exclude the patient’s mother from decision making if the patient’s father promised to bring their son back to the hospital for necessary medical tests. We argue that there is an obligation to notice and acknowledge power asymmetries in the family unit, which, in this case, was manifested as the marginalization of the female decision maker by the male decision maker. In these scenarios, clinicians should be careful to avoid treating parents as one homogenous unit, and they should take action to enable caregivers’ autonomy and voice. While there are moral and practical limits to how and when physicians should intervene in family dynamics, we discuss the steps that the medical team should have taken in this case to avoid undermining the parental authority of the mother. We conclude by offering recommendations to address and enable caregivers’ autonomy at an institutional level, and we discuss the importance of tracking and responding to damaging family dynamics to prevent ethically impermissible bargaining. (shrink)

Despite the classic patriarchy of the Roman Catholic church, American Catholic nuns entered into patriarchal bargains that latently gained them access to resources and status within the system. By means of educational advancement and professional careers, encouraged by the male hierarchy as necessary to performing the works of the church, nuns gained both informal power in the system and an awareness of their disadvantaged position. This article analyzes the shifts that have occurred in these bargains during the past 40 years (...) in terms of the submerged networks of feminist consciousness that have existed in Catholic convents for decades. The article concludes with a description of the current crisis occurring within religious orders as they experience a decline in membership and rapidly increasing median ages of members. (shrink)

Applying the solutions defined in the axiomatic bargaining theory to actual bargaining problems is a challenge when the problem is not described by its Utility Possibility Set (UPS) but as a social choice environment specifying the set of alternatives and utility profile underlying the UPS. It requires computing the UPS, which is an operational challenge, and then identifying at least one alternative that actually achieves the bargained solution’s outcome. We introduce the axioms of Independence of Non-Strongly-Efficient Alternatives (resp. (...) Weakly) and Independence of Redundant Alternatives. A solution satisfying these axioms can be applied to a simplified problem based on any reduced set of alternatives generating the strong (resp. weak) Pareto frontier of the initial problem, without changing the outcome, making the application of bargaining solutions to actual problems easier. We compare our axioms to usual independence axioms, and discuss their consistency with usual bargaining solutions. Then, we introduce monotonicity conditions corresponding to the existence of an interest group, i.e., agents ranking the alternatives in the same order. For such monotonic social choice environments, we provide a parameterized family of alternatives that generates the Pareto frontier of the bargaining problem, in line with our previous results. Our analysis illustrates that an axiomatic approach can be useful to foster the application of bargaining solutions, in complement to usual computational methods. (shrink)