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)

(1992). The prisoner's dilemma and educational provision: A reply to Ruth Jonathan. British Journal of Educational Studies: Vol. 40, No. 2, pp. 118-133.

Teaching economics has been shown to encourage students to defect in a prisoner's dilemma game. However, can ethics training reverse that effect and promote cooperation? We conducted an experiment to answer this question. We found that students who had the ethics module had higher rates of cooperation than students without the ethics module, even after controlling for communication and other factors expected to affect cooperation. We conclude that the teaching of ethics can mitigate the possible adverse incentives of the (...) prisoner's dilemma, and, by implication, the adverse effects of economics and business training. (shrink)

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

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)

Prisoner's dilemmas can lead rational people to interact in ways that lead to persistent inefficiencies. These dilemmas create a problem for institutional designers to solve: devise institutions that realign individual incentives to achieve collectively rational outcomes. I will argue that we do not always want to eliminate misalignments between individual incentives and efficient outcomes. Sometimes we want to preserve prisoner's dilemmas, even when we know that they systematically will lead to inefficiencies. No doubt, prisoner's dilemmas can create problems, but they (...) also create opportunities to practice the cooperative norms that make market institutions possible in the first place. An ethical market culture, I argue, benefits from the presence of prisoner's dilemmas. I first consider standard approaches for solving prisoner's dilemmas. I then argue for the value of prisoner's dilemmas. Finally, I show the significance of this argument for advocating codes of business ethics. (shrink)

Prisoner's dilemmas can lead rational people to interact in ways that lead to persistent inefficiencies. These dilemmas create a problem for institutional designers to solve: devise institutions that realign individual incentives to achieve collectively rational outcomes. I will argue that we do not always want to eliminate misalignments between individual incentives and efficient outcomes. Sometimes we want to preserve prisoner's dilemmas, even when we know that they systematically will lead to inefficiencies. No doubt, prisoner's dilemmas can create problems, but they (...) also create opportunities to practice the cooperative norms that make market institutions possible in the first place. An ethical market culture, I argue, benefits from the presence of prisoner's dilemmas. I first consider standard approaches for solving prisoner's dilemmas. I then argue for the value of prisoner's dilemmas. Finally, I show the significance of this argument for advocating codes of business ethics. (shrink)

A referral was made to our Cardiac Transplant Program for a patient who was in the New Jersey Prison System. The Medical Director of the New Jersey Department of Corrections called regarding a 39-year-old inmate who was being treated in a New Jersey hospital that has a unit for prisoners from a nearby cor- rectional facility. The referring physician described the patient to our Medical Director of heart transplantation as a “murderer” who had been incarcerated since 1987 and sentenced to (...) prison for 30 years without eligibility for parole before completion of his 30-year sentence. The patient was being treated in the CCU of the facility and according to preliminary studies, was suffering from a possible dilated cardiomyopathy. There was evidence of a prior cerebrovascular accident (etiology unknown) with a dense hemiplegia of the left side. The patient was alert but unable to care for himself. There were a number of specific tests necessary to evaluate the patient's candidacy for heart transplantation before actually placing him-on a waiting list. However, the transplant director was uncertain about having the patient brought to our facility for further testing and called some members of the Transplant Selection Committee team to discuss the case. (shrink)

According to David Lewis, the prisoner's dilemma (PD) and Newcomb's problem (NP) are really just one dilemma in two different forms (Lewis 1979). Lewis's argument for this conclusion is ingenious and has been widely accepted. However, it is flawed. As this paper shows, the considerations that Lewis brings to bear to show that the game he starts with is an NP equally show that the game is not a PD.

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.

Several philosophers have discussed informal versions of a "symmetry argument" that seems to show that two rational maximizers will cooperate when they are in a prisoner's dilemma. I present a more precise version of that argument and I argue that it is valid only if some crucial statements are misinterpreted as material conditionals instead of being interpreted correctly as subjunctive conditionals.

David Lewis argued that Newcomb’s Problem and the Prisoner’s Dilemma are “one and the same problem” or, to be more precise, that the Prisoner’s Dilemma is nothing else than “two Newcomb problems side by side” (Lewis Philosophy and Public Affairs 8:235–240, 1979 : 235). It has been objected that his argument fails to take into account certain epistemic asymmetries which undermine the one-problem thesis. Sobel ( 1985 ) acknowledges that many tokens satisfy the structural requirements of (...) both problems, while questioning the generality of the thesis. Bermúdez (Analysis 73:423–429, 2013 ), on the other hand, argues that there is a deeper structural conflict between the two problems in the sense that the epistemic requirements that give Newcomb’s Problem its force are precisely those that prevent it from being a Prisoner’s Dilemma. I argue that the epistemic asymmetry objections raised by Sobel and Bermúdez fail to undermine the one-problem thesis. A different type of objection raised by Bermúdez, one which relies on the contrast between parametric and strategic choices, fares no better. Although NP is a problem that has been primarily studied for its implications to decision theory, it contains enough game theoretic elements to justify the claim that a juxtaposition of two such problems can be thought of as a strategic game. (shrink)

Among various cases that equally admit of evidentialist reasoning, the supposedly evidentialist solution has varying degrees of intuitive attractiveness. I suggest that cooperative reasoning may account for the appeal of apparently evidentialist behavior in the cases in which it is intuitively attractive, while the inapplicability of cooperative reasoning may account for the unattractiveness of evidentialist behaviour in other cases. A collective causal power with respect to agreed outcomes, not evidentialist reasoning, makes cooperation attractive in the Prisoners' Dilemma. And a (...) natural though unwarranted assumption of such a power may account for the intuitive appeal of the one-box response in Newcomb's Problem. (shrink)

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

The "Prisoner's Dilemma" game has been extensively discussed in both the public and academic press. Thousands of articles and many books have been written about this disturbing game and its apparent representation of many problems of society. The origin of the game is attributed to Merrill Flood and Melvin Dresher. I quote from the Stanford Encyclopedia of Philosophy: Puzzles with this structure were devised and discussed by Merrill Flood and Melvin Dresher in 1950, as part of the Rand CorporationÂ’s (...) investigations into game theory (which Rand pursued because of possible applications to global nuclear strategy). The title "prisonerÂ’s dilemma" and the version with prison sentences as payoffs are due to Albert Tucker, who wanted to make Flood and DresherÂ’s ideas more accessible to an audience of Stanford psychologists. The Prisoner's Dilemma is a short parable about two prisoners who are individually offered a chance to rat on each other for which the "ratter" would receive a lighter sentence and the "rattee" would receive a harsher sentence. The problem results from the fact that both can play this game -- that is, defect -- and if both do, then both do worse than they would had they both kept silent. This peculiar parable serves as a model of cooperation between two or more individuals (or corporations or countries) in ordinary life in that in many cases each individual would be personally better off not cooperating (defecting) on the other. (shrink)

The Prisoner's Dilemma is a popular device used by researchers to analyze such institutions as business and the modern corporation. This popularity is not deserved under a certain condition that is widespread in college education. If we, as management educators, take seriously our parts in preparing our students to participate in the institutions of a democratic society, then the Prisoner's Dilemma—as clever a rhetorical device as it is—is an unacceptable means to that end. By posing certain questions about (...) the prisoners in the Prisoner's Dilemma, I show that management educators have created a Prisoners Dilemma, whereby they intellectually imprison themselves and their students by continuing to appeal to the Prisoner's Dilemma. These questions are not encouraged by the advocates of the Prisoner's Dilemma. (shrink)

It is generally believed that, for a one-off Prisoner’s Dilemma game, it is logical to defect. However, both players cooperating is apparently a better choice than both defecting, hence the dilemma. In this paper, by resorting to Ramsey’s Test, Kripke’s possible world semantics, and Stalnaker/Lewis-style account of conditionals, I show that the first horn of the Prisoner’s Dilemma is an unsound argument. It originates from failing to differentiate between a possible world and a possible set (...) of possible worlds and failing to observe that the set of accessible possible worlds associated with a possible world in general varies from conditional to conditional. This phenomenon can also be illustrated in terms of the recently developed hi-world semantics. Moreover, a meta-argument is constructed to establish the non-existence of a logical argument for defection. (shrink)

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)

In a recent issue of this journal, C. L. Sheng claims to havesolved andexplained the Prisoner's Dilemma (PD) by studying it ‘from a moral point of view’ - i.e., by assuming that each player feels sympathy for the other. Sheng does not fully clarify this claim, but there is textual evidence that his point is this: PD's arise only for agents who feel little or no sympathy for each other; they cannot arise in the presence of a high degree (...) of reciprocal sympathy. A high degree of such sympathysolves the PD in that it prevents PD's from arising, and a low degree of itexplains the PD in that it provides an essential condition for the occurrence of that game. This thesis is false, as some examples show. These examples are important; they prevent us from underestimating the problem posed by the PD. (shrink)

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

n the spatialized Prisoner’s Dilemma, players compete against their immediate neighbors and adopt a neighbor’s strategy should it prove locally superior. Fields of strategies evolve in the manner of cellular automata (Nowak and May, 1993; Mar and St. Denis, 1993a,b; Grim 1995, 1996). Often a question arises as to what the eventual outcome of an initial spatial configuration of strategies will be: Will a single strategy prove triumphant in the sense of progressively conquering more and more territory without (...) opposition, or will an equilibrium of some small number of strategies emerge? Here it is shown, for finite configurations of Prisoner’s Dilemma strategies embedded in a given infinite background, that such questions are formally undecidable: there is no algorithm or effective procedure which, given a specification of a finite configuration, will in all cases tell us whether that configuration will or will not result in progressive conquest by a single strategy when embedded in the given field. The proof introduces undecidability into decision theory in three steps: by (1) outlining a class of abstract machines with familiar undecidability results, by (2) modelling these machines within a particular family of cellular automata, carrying over undecidability results for these, and finally by (3) showing that spatial configurationns of Prisoner’s Dilemma strategies will take the form of such cellular automata. (shrink)

Schools of economic ethics inspired by Buchanan propose viewing ethical conflicts as prisoners’ dilemmas to facilitate solutions based on Pareto-improving institutional changes. Given that healthcare is determined by complex institutional arrangements, it has been claimed that this approach is also suitable for business ethics in healthcare. To scrutinize this claim, this research systematically searched for studies reporting PD structures in healthcare. PubMed, EconLit, and EconBiz were searched to find articles in German and English. Study type, characteristics of the game, and (...) the proposed means to overcome the dilemma were extracted and analyzed for aspects supporting or challenging the claim. Across 53 studies, 68 descriptions of various dilemmas in healthcare and public health were identified. Many authors successfully developed proposals for institutional change to overcome these dilemmas. However, many of these analyses exhibited limitations such as oversimplifications or inconsistencies. Also, the quality of evidence on both the characteristics of dilemmas and the effectiveness of proposed solutions was very poor. The subsamples of studies that explicitly cited the ethical approach were disjunct from those that applied empirical methods to analyze the dilemmas. The large number of identified PDs indicates that economic ethics is relevant to healthcare. However, there is a need for further evidence to substantiate both the descriptive and prescriptive claims of this ethical theory. It should thus be seen as a complement that needs justification, rather than a substitute superior to other ethical frameworks. (shrink)

Mealey's interesting interpretation of sociopathy is based on an inappropriate two-person game model. A multiperson, compound game version of Chicken would be more suitable, because a population engaging in random pairwise interactions with that structure would evolve to an equilibrium in which a fixed proportion of strategic choices was exploitative, antisocial, and risky, as required by Mealey's interpretation.

The prisoner 's dilemma game has acquired large literatures in several disciplines. It is surprising, therefore, that a good definition of the game is hard to find. Typically an author relates a story about captured criminals or military rivals, provides a particular payoff matrix and asserts that the PD is characterized, or illustrated, by that matrix. In the few cases in which characterizing conditions are given, the conditions, and the motivations for them, do not always agree with each other (...) or with the paradigm examples elsewhere. In this paper we describe several varieties of PD's. In particular, we suggest there are two distinctions among PD's with philosophical significance, the pure/impure and the utilitarian/nonutilitarian distinctions. In the first section, we explain and characterize the two distinctions. In the second, we discuss an issue of moral philosophy that illustrates the significance of the former. (shrink)

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

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)

Maximizers in isolated Prisoner's Dilemmas are doomed to frustration. But in Braybrooke's view maximizers might do better in a series, securing Pareto-optimal arrangements if not from the very beginning, at least eventually. Given certain favourable special conditions, it can be shown according to Braybrooke and shown even without question-begging motivational or value assumptions, that in a series of Dilemmas maximizers could manage to communicate a readiness to reciprocate, generate thereby expectations of reciprocation, and so give rise to optimizing reciprocations which, (...) in due course, would reinforce expectations, the net result of all this being an increasingly stable practice to mutual benefit. In this way neighbours could learn to be good neighbours: they could learn to respect each other's property, to engage in reciprocal assistance, and perhaps even to make and keep promises covering a range of activities. So maximizers are, Braybrooke holds, capable of a society of sorts. Out of the ashes they might build something. But even under favourable conditions they could not build much and most conditions would defeat them almost entirely, for many-person Dilemmas whether isolated or in series would be quite beyond them, question-begging motivational assumptions aside. In settings at all like those in which we live, utility maximization assuming only ‘traditional’ motivation is self-defeating without remedy, and most certainly not an adequate basis for social life.' The probable inference from as a conception of individual rationality: for surely truly rational agents would be if not perfectly well designed at least better designed for communal living than utility maximizers would be assuming only ‘traditional’, non-question-begging values or motivation. Or, if this inference is denied and maximization is not challenged as a conception of rationality, we can conclude instead, Braybrooke has more recently suggested, that the advice, ‘Be rational,’ is incomplete, and when addressed to groups should be supplemented by, ‘And be somewhat ‘untraditional’ in your values; respect at least some rules that would make coordination and cooperation possible even in many-person interaction problems.’. (shrink)