"This talk of holding back in the face of strong temptation brings me to the climax of this column: the announcement of a Luring Lottery open to all readers and nonreaders of Scientific American. The prize of this lottery is $ 1,000,000/N, where N is the number of entries submitted. Just think: if you are the only entrant (and if you submit only one entry), a cool million is yours! Perhaps, though, you doubt this will come about. It does seem (...) a trifle iffy. If you'd like to increase your chances of winning, you are encouraged to send in multiple entries without limit. Just send in one postcard per entry. If you send in 100 entries, you'll have 100 times the chance of some poor slob who sends in just one. Come to think of it, why should you have to send in multiple entries separately? Just send one postcard with your name and address and a positive integer (telling how many entries you're making) to. (shrink)

Experiments in which subjects play simultaneously several finite two-person prisoner's dilemma supergames with and without an outside option reveal that: an attractive outside option enhances cooperation in the prisoner's dilemma game, if the payoff for mutual defection is negative, subjects' tendency to avoid losses leads them to cooperate; while this tendency makes them stick to mutual defection if its payoff is positive, subjects use probabilistic start and endeffect behavior.

Different disciplines have analyzed binary choices to model collective behavior in human systems. Several situations in which social dilemma arise can be modeled as N-person prisoner’s dilemma games including homeland security, public goods, international political economy among others. The purpose of this study is to develop an analytical solution to the N-person prisoner’s dilemma game when boundedly rational agents interact in a population. Previous studies in the literature consider the case in which cooperators and defectors have (...) the same learning factors. We obtain an analytical equation to find equilibria in the N-person prisoner’s dilemma game in the general case when agents have different learning factors. We also introduce a more realistic approach where probability values are bounded between zero and one and therefore eliminates the possibility of infeasible probability values. Since no analytic solution can be derived in this case, agent based simulation is used to analyze the asymptotic behavior of the resulted dynamical system. (shrink)

The study explores the impact of robots’ emotional displays on people’s tendency to cooperate with a robot opponent in prisoner’s dilemma games. Participants played iterated prisoner’s dilemma games with a non-expressive robot (as a measure of cooperative baseline), followed by an angry, and a sad robot, in turn. Based on the Emotion as Social Information model, we expected participants with higher cooperative predispositions to cooperate less when a robot displayed anger, and cooperate more when the robot (...) displayed sadness. Contrarily, according to this model, participants with lower cooperative predispositions should cooperate more with an angry robot and less with a sad robot. The results of 60 participants failed to support the predictions. Only the participants’ cooperative predispositions significantly predicted their cooperative tendencies during gameplay. Participants who cooperated more in the baseline measure also cooperated more with the robots displaying sadness and anger. In exploratory analyses, we found that participants who accurately recognised the robots’ sad and angry displays tended to cooperate less with them overall. The study highlights the impact of personal factors in human–robot cooperation, and how these factors might surpass the influence of bottom-up emotional displays by the robots in the present experimental scenario. (shrink)

The purpose of this research is to examine the impact of individual and firm moral philosophies on marketing exchange relationships. Personal moral philosophies range from the extreme forms of true altruists and true egoists, along with three hybrids that represent middle ground. Organizational postures are defined as Ethical Paradigm, Unethical Paradigm, and Neutral Paradigm, which result in changes to personal moral philosophies and company and industry performance. The study context is a simulation of an exchange environment using a variation of (...) the prisoners' dilemma game. A literature review is provided in the opening section, followed by details on the simulation, discussion of the results, and the implications for theory and practice. (shrink)

In a social network, a user is greatly influenced by their neighbors’ opinions, and the user’s opinion updating can be regarded as the prisoner’s dilemma game. In view of such considerations, this paper proposes an opinion evolution and control model based on the prisoner’s dilemma game and gives the corresponding opinion evolution and control algorithm. Under different initial positive opinion proportions, different opinion control levels, and the same control threshold value and under different initial positive opinion proportions, different (...) opinion control levels, and different opinion control threshold values in a scale-free network, the experiments illustrate the opinion evolution trends and control strategies according to the measures of changing the opinion control levels and opinion control threshold values for network regulators. The experiments show that the lower the initial positive opinion proportion is and the smaller the control opinion threshold value chosen by the network regulators is, the lower the opinion control level is; the larger the initial positive opinion proportion is and the larger the control opinion threshold value chosen by the network regulators is, the lower the opinion control level is. (shrink)

The purpose of this research is to examine the impact of individual and firm moral philosophies on marketing exchange relationships. Personal moral philosophies range from the extreme forms of true altruists and true egoists, along with three hybrids that represent middle ground (i.e., realistic altruists, tit-for-tats, and realistic egoists). Organizational postures are defined as Ethical Paradigm, Unethical Paradigm, and Neutral Paradigm, which result in changes to personal moral philosophies and company and industry performance. The study context is a simulation of (...) an exchange environment using a variation of the prisoners' dilemma game. A literature review is provided in the opening section, followed by details on the simulation, discussion of the results, and the implications for theory and practice. (shrink)

In this commentary, we set out the specifics of how Glowacki's game theoretical framework for the evolution of peace could be incorporated within broader cultural evolutionary approaches. We outline a formal proposal for prisoner's dilemma games investigating raid-based conflict. We also centre an ethnographic lens to understand the norms surrounding war and peace in intergroup interactions in small-scale communities.

When social scientists began employing evolutionary game theory (EGT) in their disciplines, the question arose what the appropriate interpretation of the formal EGT framework would be. Social scientists have given different answer, of which I distinguish three basic kinds. I then proceed to uncover the conceptual tension between the formal framework of EGT, its application in the social sciences, and these three interpretations. First, I argue that EGT under the biological interpretation has a limited application in the social sciences, chiefly (...) because strategy replication often cannot be sensibly interpreted as strategy bearer reproduction in this domain. Second, I show that alternative replication mechanisms imply interpersonal comparability of strategy payoffs. Giving a meaningful interpretation to such comparisons is not an easy task for many social situations, and thus limits the applicability of EGT in this domain. Third, I argue that giving a new interpretation both to strategy replication and selection solves the issue of interpersonal comparability, but at the costs of making the new interpretation incompatible with natural selection interpretations of EGT. To the extent that social scientists seek such a natural selection interpretation, they face a dilemma: either face the challenge that interpersonal comparisons pose, or give up on the natural selection interpretation. By identifying these tensions, my analysis pleas for greater awareness of the specific purposes of EGT modelling in the social sciences, and for greater sensitivity to the underlying microstructure on which the evolutionary dynamics and other EGT solution concepts supervene. (shrink)

This article argues that various deviations from the basic principles of the scientific ethos – primarily the appearance of pseudoscience in scientific communities – can be formulated and explained using specific models of game theory, such as the prisoner’s dilemma and the iterated prisoner’s dilemma. The article indirectly tackles the deontology of scientific work as well, in which it is assumed that there is no room for moral skepticism, let alone moral anti-realism, in the ethics of scientific communities. (...) Namely, on the basis of the generally accepted dictum of scientific endeavor as the pursuit of knowledge exclusively for knowledge’s sake, scientifically »right« behavior is seen to be clearly defined and distinguishable from scientifically »wrong« behavior. After elucidating the basic principles of game theory, the article illustrates – by using imaginary and real cases, as well as some views from the philosophyof biology (the units of selection debate) – how this sort of reasoning could be applied in an analysis of the functioning of science. (shrink)

. Power Games and Moral Territories: Ethical Dilemmas when Working with Children and Young People. Ethics, Place & Environment: Vol. 4, No. 2, pp. 117-118.

. Power Games and Moral Territories: Ethical Dilemmas when Working with Children and Young People. Ethics, Place & Environment: Vol. 4, No. 2, pp. 117-118.

The so-called "Prisoner''s Dilemma" is often referred to in business ethics, but probably not well understood. This article has three parts: (1) I claim that models derived from game theory are significant in the field for discussions of prudential ethics and the practical decisions managers make; (2) I discuss using them as a practical pedagogical exercise and some of the lessons generated; (3) more speculatively, I suggest that they are useful in discussions of corporate personhood.

Is game theory good for us? This may seem an odd question. In the strict sense, game theory—the axiomatic account of interaction between rational agents—is as morally neutral as arithmetic. But the popularization of game theory as a way of thinking about social interaction is far from neutral. Consider the contrast between characterizing bargaining over distribution as a “zero-sum society” and focussing on “win-win” cooperative solutions. These reflections bring us to the book under review, Prisoner's Dilemma, a popular introduction (...) to game theory and its relation to ethics by the respected science writer William Poundstone. The book begins with a moral dilemma and ends by discussing the evolution of co-operation. Poundstone emphasizes—correctly, to my mind—the ethical potential of game theory. He concludes his first chapter with this striking claim: “Today's practitioners of game theory are attempting to forge a kind of ethical progress. Is there any way to promote the common good in a prisoner's dilemma? The attempt to answer this question is one of the great intellectual adventures of our time”. (shrink)

This paper explores the cooperation mechanisms for the prisoner’s dilemma game, a canonical example for studying cooperation mechanisms, with Bayesian games. By the approach allowing simultaneous moves with the assumption that the players might be self-interested or norm-following, we establish four possible Bayesian game models, all of which are cooperation mechanisms for the prisoner’s dilemma game except for the model in which one of the two players must be self-interested.

Providing sport psychology services to athletes and coaches before and during the Olympic Games presents a number of ethical concerns and challenges for the practitioner. These challenges are amplified by the nontraditional way in which sport psychology services are delivered, requiring careful attention to maintaining ethical behavior no matter the setting. The purpose of this article is, from the perspective of sport psychology consultants employed by the U.S. Olympic Committee, to outline specific challenges, including prolonged travel with teams, multiple (...) relationships, and such Olympic Games-related issues as dealing with the media, team identification, servicing multiple teams simultaneously, and practitioner self-care. Strategies for coping with these challenges, as well as questions to ponder, are also presented as a way to increase awareness of this field's unique challenges for the aspiring practitioner. (shrink)

Setting aside various foundational moral entanglements, I will offer an argument for the protection of intellectual property based on individual self-interest and prudence. In large part, this argument will parallel considerations that arise in a prisoner’s dilemma game. After sketching the salient features of a prisoner’s dilemma, I will briefly examine the nature of intellectual property and how one can view content creation, exclusion, and access as a prisoner’s dilemma. In brief, allowing content to be unprotected in (...) terms of free access leads to a sub-optimal outcome where creation and innovation are suppressed. Finally, I will argue that adopting the institutions of copyright, patent, and trade secret is one way we can avoid these sub-optimal results. (shrink)

Smartphone use changes the landscape of social interactions, including introducing new social dilemmas to daily life. The challenge of putting down one's smartphone is an example of a classic coordination problem from game theory: the stag hunt game. In a stag hunt game, there are two possible coordination points, one that involves big payoffs for both partners (e.g., working together to hunt large game like stag) and one that involves smaller payoffs for both partners (e.g., individually hunting small game like (...) rabbits) but is safer because it does not require that your partner choose that option as well. This is similar to the challenges of putting down smartphones to have a face‐to‐face interaction: you and your interaction partner might both prefer the higher payoff option of having a face‐to‐face interaction, but neither of you wants to put down your phone and risk not having anything to do in the meantime. It is also discussed how new technological innovations are changing the payoffs of face‐to‐face conversation versus side‐by‐side smartphone scrolling. Insights that come from applying game theory to this “social media dilemma” are discussed here and potential solutions that come out of a game theoretic analysis are offered. Also see the video abstract here https://youtu.be/9esL578zM‐E. (shrink)

This article argues that various deviations from the basic principles of the scientific ethos – primarily the appearance of pseudoscience in scientific communities – can be formulated and explained using specific modelsof game theory, such as the prisoner’s dilemma and the iterated prisoner’s dilemma. The article indirectly tackles the deontology of scientific work as well, in which it is assumed that there is no room for moral skepticism, let alone moral anti-realism, in the ethics of scientific communities. Namely, (...) on the basis of the generally accepted dictum of scientific endeavor as the pursuit of knowledge exclusively for knowledge’s sake, scientifically »right« behavior is seen to be clearly defined and distinguishable from scientifically »wrong« behavior. After elucidating the basic principles of game theory, the article illustrates – by using imaginary and real cases, as well as some views from the philosophyof biology – how this sort of reasoning could be applied in an analysis of the functioning of science.U članku se tvrdi da se različite devijacije od osnovnih načela etosa znanosti – prije svega pojava pseudoznanosti u znanstvenim zajednicama – mogu formulirati i objasniti pomoću specifičnih modela teorije igara kao što su zatvorenikova dilema i ponovljena zatvorenikova dilema. Članak se, prema tome, neizravno bavi i deontologijom znanstvenoga rada, pri čemu je ključna pretpostavka da u etici znanstvenih zajednica nema mjesta moralnom skepticizmu, a kamoli moralnom antirealizmu: naime, znanstveno »ispravno« ponašanje smatra se jasno definiranim i razlučivim od znanstveno »pogrešnog« ponašanja na osnovi općeprihvaćene maksime znanstvenoga rada kao potrage za znanjem isključivo radi znanja. Nakon izlaganja osnovnih načela teorije igara, pokazuje se – koristeći se imaginarnim i zbiljskim slučajevima, kao i nekim stavovima iz filozofije biologije – kako bi se ovu vrstu razmišljanja moglo primijeniti u analizi funkcioniranja znanosti. (shrink)

Conventions and leaders are believed to be the two pillars of justice and order in society. This paper evaluates this proposition and draws attention to two intriguing ways in which these pillars can malfunction. The argument is constructed by creating two new games, Greta’s Dilemma and the Incarceration Game. An awareness of these problems can help us use our ‘moral intention’ to reexamine our own collective behavior and to design prior conventions, which limit the power of the leader.

Existing models of strategic decision making typically assume that only the attributes of the currently played game need be considered when reaching a decision. The results presented in this article demonstrate that the so-called “cooperativeness” of the previously played prisoner’s dilemma games influence choices and predictions in the current prisoner’s dilemma game, which suggests that games are not considered independently. These effects involved reinforcement-based assimilation to the previous choices and also a perceptual contrast of the present (...) game with preceding games, depending on the range and the rank of their cooperativeness. A. Parducci’s (1965) range frequency theory and H. Helson’s (1964) adaptation level theory are plausible theories of relative judgment of magnitude information, which could provide an account of these context effects. (shrink)

The publish-or-perish paradigm is a prevailing facet of science. We apply game theory to show that, under rather weak assumptions, this publication scenario takes the form of a prisoner’s dilemma, which constitutes a substantial obstacle to beneficial delayed publication of more complete results. One way of avoiding this obstacle while allowing researchers to establish priority of discoveries would be an updated “pli cacheté”, a sealed envelope concept from the 1700s. We describe institutional rules that could additionally favour high-quality work (...) and publications and provide examples of such policies that are already in place. Our analysis should be extended to other publication scenarios and the role of other stakeholders such as scientific journals or sponsors. (shrink)

This article proposes two interpretations of the concept of belief hierarchies in Bayesian game theory: the behaviorist interpretation and the mentalist interpretation. On the former, belief hierarchies are derived from the players’ preferences over acts. On the latter, they are causal mechanisms that are responsible for the players’ choices and preferences over acts. The claim is that the epistemic program in game theory is potentially confronted with a dilemma regarding which interpretation should be adopted. If the behaviorist interpretation of (...) belief hierarchies is retained, then Bayesian game theory cannot account for the players’ reasoning that leads to the generation of specific belief hierarchies and thus to the implementation of a specific strategy profile in a game. If the mentalist interpretation is retained, then belief hierarchies appear to be unnecessarily and unrealistically complex objects and that as a result they fail to provide reasonable epistemic foundations for various solution concepts. In other words, neither interpretation seems to allow the epistemic program to fulfill all its aims. I suggest however that the mentalist interpretation can be arranged to escape this dilemma. (shrink)

This article proposes two interpretations of the concept of belief hierarchies in Bayesian game theory: the behaviorist interpretation and the mentalist interpretation. On the former, belief hierarchies are derived from the players’ preferences over acts. On the latter, they are causal mechanisms that are responsible for the players’ choices and preferences over acts. The claim is that the epistemic program in game theory is potentially confronted with a dilemma regarding which interpretation should be adopted. If the behaviorist interpretation of (...) belief hierarchies is retained, then Bayesian game theory cannot account for the players’ reasoning that leads to the generation of specific belief hierarchies and thus to the implementation of a specific strategy profile in a game. If the mentalist interpretation is retained, then belief hierarchies appear to be unnecessarily and unrealistically complex objects and that as a result they fail to provide reasonable epistemic foundations for various solution concepts. In other words, neither interpretation seems to allow the epistemic program to fulfill all its aims. I suggest however that the mentalist interpretation can be arranged to escape this dilemma. (shrink)

Daniel Greco (forthcoming) argues that there cannot be epistemic dilemmas. I argue that he is wrong. I then look in detail at a would-be epistemic dilemma and argue that no non-dilemmic approach to it can be made to work. Along the way, there is discussion of octopuses, lobsters, and other ‘inscrutable cognizers’; the relationship between evaluative and prescriptive norms; a failed attempt to steal a Brueghel; epistemic and moral blame and residue; an unbearable guy who thinks he’s God’s gift (...) to women; excuses; stupid games involving hats; radical permissivism; how I’ll never be able to afford to buy a house in Hampstead; and many other exciting topics. (shrink)

Game experiments designed to test the effectiveness of reward and/or punishment incentives in promoting cooperative behavior among their participants are quite common. Results from two such recent experiments conducted in Beijing, based on the Prisoner’s Dilemma (PD) game and Public Goods Game respectively, are summarized here. The unexpected empirical outcomes for the repeated PD game, that cooperation actually decreased when the participants had the option of using a costly punishment strategy and that participants who used costly punishment in some (...) round of the repeated game often did so in the first round, are discussed in terms of differences in attitudes toward reputation in Chinese culture compared to other locations (mostly in Western society) where similar experiments have been conducted. The second experiment models an institution providing incentives to increase contribution levels (i.e., cooperation) to the public good. The results show that combined institutional reward and punishment is the most effective means to increase cooperation, followed by a scheme using only punishment. It is shown how these empirical results are related to the theoretical predictions that assume players play rationally by optimizing their personal payoff given their opponents’ actions in these multi-player games. (shrink)

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

Tax administrators are empowered by the state to secure compliance with tax obligations. Enforcing compliance on the ground is complex, and street-level administrators often engage in the “art of the possible,” leading to dilemmas in the field. This paper examines tax administrators’ practices with regard to Jamaican property tax defaulters with outstanding tax liabilities in excess of 3 years. Drawing on interviews with tax administrators and other key agents, we find that tax administrators reposition themselves from objective enforcers to empathizing (...) officials engaging in schemes of action, doing what they can do rather than what they should do. This is a practical-sense approach to securing compliance. We identify two forms of empathy, assimilated and cynical, and conclude that administrators’ empathetic identification with defaulters does not necessarily arise solely from concern for social cohesion, or inter-subjective compassion, but also sometimes from self-interest. (shrink)

The gamer’s dilemma offers three plausible but jointly inconsistent premises: (1) Virtual murder in video games is morally permissible. (2) Virtual paedophelia in video games is not morally permissible. (3) There is no morally relevant difference between virtual murder and virtual paedophelia in video games. In this paper I argue that the gamer’s dilemma can be understood as one of three distinct dilemmas, depending on how we understand two key ideas in Morgan Luck’s (2009) original (...) formulation. The two ideas are those of (1) occurring in a video game and (2) being a virtual instance of murder or paedophelia. Depending on the weight placed on the gaming context, the dilemma is either about in-game acts or virtual acts. And depending on the type of virtual acts we have in mind, the dilemma is either about virtual representations or virtual partial reproductions of murder and paedophelia. This gives us three dilemmas worth resolving: a gaming dilemma, a representation dilemma, and a simulation dilemma. I argue that these dilemmas are about different issues, apply to different cases, and are susceptible to different solutions. I also consider how different participants in the debate have interpreted the dilemma in one or more of these three ways. (shrink)

Originally used to decipher the 1950s nuclear stalemate, the “Prisoner’s Dilemma” might reveal how resources are unfairly distributed today.

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

This is an Element surveying the most important literature using game theory and evolutionary game theory to shed light on questions in the philosophy of biology. There are two branches of literature that the book focuses on. It begins with a short introduction to game theory and evolutionary game theory. It then turns to working using signaling games to explore questions related to communication, meaning, language, and reference. The second part of the book addresses prosociality - strategic behavior that (...) contributes to the successful functioning of social groups - using the prisoner's dilemma, stag hunt, and bargaining games. (shrink)

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

Rational choice theory enjoys unprecedented popularity and influence in the behavioral and social sciences, but it generates intractable problems when applied to socially interactive decisions. In individual decisions, instrumental rationality is defined in terms of expected utility maximization. This becomes problematic in interactive decisions, when individuals have only partial control over the outcomes, because expected utility maximization is undefined in the absence of assumptions about how the other participants will behave. Game theory therefore incorporates not only rationality but also common (...) knowledge assumptions, enabling players to anticipate their co-players' strategies. Under these assumptions, disparate anomalies emerge. Instrumental rationality, conventionally interpreted, fails to explain intuitively obvious features of human interaction, yields predictions starkly at variance with experimental findings, and breaks down completely in certain cases. In particular, focal point selection in pure coordination games is inexplicable, though it is easily achieved in practice; the intuitively compelling payoff-dominance principle lacks rational justification; rationality in social dilemmas is self-defeating; a key solution concept for cooperative coalition games is frequently inapplicable; and rational choice in certain sequential games generates contradictions. In experiments, human players behave more cooperatively and receive higher payoffs than strict rationality would permit. Orthodox conceptions of rationality are evidently internally deficient and inadequate for explaining human interaction. Psychological game theory, based on nonstandard assumptions, is required to solve these problems, and some suggestions along these lines have already been put forward. Key Words: backward induction; Centipede game; common knowledge; cooperation; epistemic reasoning; game theory; payoff dominance; pure coordination game; rational choice theory; social dilemma. (shrink)