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- Maarten Franssen (1994). Constrained Maximization Reconsidered — an Elaboration and Critique of Gauthier's Modelling of Rational Cooperation in a Single Prisoner's Dilemma. Synthese 101 (2):249 - 272.Gauthier's argument for constrained maximization, presented inMorals by Agreement, is perfected by taking into account the possibility of accidental exploitation and discussing the limitations on the values of the parameters which measure the translucency of the actors. Gauthier's argument is nevertheless shown to be defective concerning the rationality of constrained maximization as a strategic choice. It can be argued that it applies only to a single actor entering a population of individuals who are themselves not rational actors but simple rule-followers. A proper analysis of the strategic choice situation involving two rational actors who confront each other shows that constrained maximization as the choice of both actors can only result under very demanding assumptions.
Similar books and articles
This collection focuses on questions that arise when morality is considered from the perspective of recent work on rational choice and evolution. Linking questions like "Is it rational to be moral?" to the evolution of cooperation in "The Prisoners Dilemma," the book brings together new work using models from game theory, evolutionary biology, and cognitive science, as well as from philosophical analysis. Among the contributors are leading figures in these fields, including David Gauthier, Paul M. Churchland, Brian Skyrms, Ronald de Sousa, and Elliot Sober.
For the tradition, an action is rational if maximizing; for Gauthier, if expressive of a disposition it maximized to adopt; for me, if maximizing on rational preferences, ones whose possession maximizes given one's prior preferences. Decision and Game Theory and their recommendations for choice need revamping to reflect this new standard for the rationality of preferences and choices. It would not be rational when facing a Prisoner's Dilemma to adopt or co-operate from Amartya Sen's "Assurance Game" or "Other Regarding" preferences. But there are preferences which it maximizes to adopt and co-operate from.
I distinguish and review six major attempts to give a Co-operative solution to the Prisoners Dilemma: Symmetry, Mechanism, Inducement, Resolution, Alternative Principle, and Preference-Revision. I then detail and criticize those of Ned McClennen (Resolution/possibly Preference-Revision)and David Gauthier (Alternative Principle). I conclude with some observations about what the failure of their solutions shows must be the parameters of any correct Co-operative solution: Rational agents should adopt maximizing dispositions, i.e., ones which will induce them to Co-operate with just those similarly disposed, but adopting the dispositions must consist in adopting revised preferences, ones favoring Co-operating under certain conditions, and able to rationalize it as straightforwardly maximizing on the new preferences. Co-operation would then be rationalized by the new preferences. Still, we will not know exactly which preference-function PD agents should adopt, only that it must maximize to adopt it, and maximize to Co-operate from it with similar agents. The details are complicated, and must await further study.
David Gauthier thinks agents facing a prisoner's dilemma ('pd') should find it rational to dispose themselves to co-operate with those inclined to reciprocate (i.e., to acquire a constrained maximizer--'cm'--disposition), and to co-operate with other 'cmers'. Richmond Campbell argues that since dominance reasoning shows it remains to the agent's advantage to defect, his co-operation is only rational if cm "determines" him to co-operate, forcing him not to cheat. I argue that if cm "forces" the agent to co-operate, he is not acting at all, never mind rationally. Thus, neither author has shown that co-operation is rational action in a pd.
I argue that Gauthier's constrained-maximizer rationality is problematic. But standard Maximizing Rationality means one's preferences are only rational if it would not maximize on them to adopt new ones. In the Prisoner's Dilemma, it maximizes to adopt conditionally cooperative preferences. (These are detailed, with a view to avoiding problems of circularity of definition.) Morality then maximizes. I distinguish the roles played in rational choices and their bases by preferences, dispositions, moral and rational principles, the aim of rational action, and rational decision rules. I argue that Maximizing Rationality necessarily structures conclusive reasons for action. Thus conations of any sort can base rational choices only if the conations are structured like a coherent preference function; rational actions maximize on such functions. Maximization-constraining dispositions cannot integrate into a coherent preference function.
In "Morals by Agreement," David Gauthier (1986) argues that it is rational to intend to cooperate, even in single-play Prisoner's Dilemma games, provided (1) your co-player has a similar intention; (2) both intentions can be revealed to the other player. To this thesis four objections are made. (a) In a strategic decision the parameters on which the argument relies cannot be supposed to be given. (b) Of each pair of a-symmetric intentions at least one is not rational. But it is impossible to form symmetric intentions to cooperate conditionally. For the condition on which the decision depends cannot be fulfilled without deciding. (c) If one's intention has to be ascertained on the basis of information about one's past performance, it is straightforwardly rational to intend to cooperate, but there is no reason to do so in a single-play PD. (d) The argument cannot be extended to n-person games which are Gauthier's principal concern.
No categories
InMorals by Agreement, David Gauthier (1986) argues that it is rational to intend to cooperate, even in single-play Prisoner's Dilemma games, provided (1) your co-player has a similar intention; (2) both intentions can be revealed to the other player. To this thesis four objections are made. (a) In a strategic decision the parameters on which the argument relies cannot be supposed to be given. (b) Of each pair ofa-symmetric intentions at least one is not rational. But it is impossible to form symmetric intentions to cooperate conditionally. For the condition on which the decision depends cannot be fulfilled without deciding. (c) If one's intention has to be ascertained on the basis of information about one's past performance, it is straightforwardly rational to intend to cooperate, but there is no reason to do so in a single-play PD. (d) The argument cannot be extended ton-person games which are Gauthier's principal concern.
In recent attempts at deriving morality from rationality expected utility theory has played a major role. In the most prominent such attempt, Gauthier'sMorals by Agreement, a mode of maximizing utility calledconstrained maximization is defended. I want to show that constrained maximization or any similar proposal cannot be coherently supported by expected utility theory. First, I point to an important implication of that theory. Second, I discuss the question of what the place of constrained maximization in utility theory might be. Third, I argue that no matter how we answer this question, expected utility theory cannot provide the reason why a moral disposition like constrained maximization is to be preferred to its rivals.
David Gauthier claims that it can be rational to co-operate in a prisoner's dilemma if one has adopted a disposition constraining one's self from maximizing one's individual expected utility, i.e., a constrained maximizer disposition. But I claim cooperation cannot be both voluntary and constrained. In resolving this tension I ask what constrained maximizer dispositions might be. One possibility is that they are rationally acquired, irrevocable psychological mechanisms which determine but do not rationalize cooperation. Another possibility is that they are rationally acquired preference-functions rationalizing cooperation as maximizing. I argue that if they are the first thing, then their adoption fails to make co-operation rational even if, as Gauthier also claims, actions are rational if they express rational dispositions. I then suggest that taking constrained maximizer dispositions to be things of the second sort would result in them being able to make co-operation rational, and that so-taking them therefore serves the bulk and spirit of Gauthier's larger claims, which I reconstruct accordingly.
Discussion of Maarten Franssen, Constrained maximization reconsidered — an elaboration and critique of Gauthier's modelling of rational cooperation in a single prisoner's dilemma
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