Abstract
In single-person decision theory, Bayesian rationality requires the agent first to attach subjective probabilities to each uncertain event, and then to maximize the expected value of a von Neumann—Morgenstern utility function (or NMUF) that is unique up to a cardinal equivalence class. When the agent receives new information, it also requires subjective probabilities to be revised according to Bayes’ rule.
November 1996 revision of a paper presented to the SITE (Stanford Institute of Theoretical Economics) summer workshop on “Game Theory: Epistemic and Other Foundational Issues”. The paper is based on an earlier presentation to the International Symposium in Honor of John C. Harsanyi on “Game Theory, Experience, Rationality: Foundations of the Social Sciences, Economics and Ethics” organized by the Institute Vienna Circle in Vienna, June 12-15, 1996. I am grateful to Marco Mariotti and Pierpaolo Battigalli for most helpful discussions of this and related work.
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References
F.J. Anscombe and Robert J. Aumann, “A Definition of Subjective Probability”, in: Annals of Mathematical Statistics, 34, 1963, pp. 199–205.
Kenneth J. Arrow, “Rational Choice Functions and Orderings”, in: Economica,26, 1959, pp.121–127.
Pierpaolo Battigalli, “Comment [on Mariotti (1996)]”, in: Kenneth J. Arrow, Enrico Colombatto, Mark Perlman, and Christian Schmidt (Eds.), The Rational Foundations of Economic Behaviour. London: Macmillan 1996, pp. 149–154.
B. Douglas Bernheim, “Rationalizable Strategic Behavior”, in: Econometrica,52, 1984, pp.1007–1028.
B. Douglas Bernheim, “Axiomatic Characterizations of Rational Choice in Strategic Environments”, in: Scandinavian Journal of Economics,88, 1986, pp.473–488.
Peter J. Hammond, “Dynamic Restrictions on Metastatic Choice”, in: Economica,44, 1977, pp.337–350.
Peter J. Hammond, “Consequentialism and the Independence Axiom”, in: Bertrand Munier (Ed.) Risk, Decision, and Rationality: Proceedings of the 3rd International Conference on the Foundations and Applications of Utility, Risk, and Decision Theories. Dordrecht: D. Reidel 1988a, pp. 503–516.
Peter J. Hammond, “Consequentialist Foundations for Expected Utility”, in: Theory and Decision, 25, 1988b, pp. 25–78.
Peter J. Hammond, “Objective Expected Utility: A Consequentialist Perspective”, in: Salvador Barberà , Peter J. Hammond and Christian Seidl (Eds.) Handbook of Utility Theory. Dordrecht: Kluwer Academic Publishers 1997a — in preparation.
Peter J. Hammond, “Subjective Expected Utility”, in: Salvador Barberà , Peter J. Hammond and Christian Seidl (Eds.) Handbook of Utility Theory. Dordrecht: Kluwer Academic Publishers 1997b — in preparation.
Peter J. Hammond, “Utility Theory for Non-Cooperative Games”, in: Salvador Barberà , Peter J. Hammond and Christian Seidl (Eds.) Handbook of Utility Theory. Dordrecht: Kluwer Academic Publishers 1997e — in preparation.
John C. Harsanyi, “Cardinal Utility in Welfare Economics and in the Theory of Risk-Taking”, in: Journal of Political Economy, 61, 1953, pp.434–5; reprinted in Harsanyi (1976).
John C. Harsanyi, “Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility”, in: Journal of Political Economy, 63, 1955, pp.309–321; reprinted in Harsanyi (1976).
John C. Harsanyi, “A General Theory of Rational Behavior in Game Situations”, in: Econometrica, 34, 1966, pp. 613–634.
John C. Harsanyi, “Games with Incomplete Information Played by `Bayesian’ Players, I–III”, in: Management Science,14,1967–68, pp.159–182, 320–334, 486–502; reprinted in Harsanyi (1982a), chs. 6–8.
John C. Harsanyi, “Nonlinear Social Welfare Functions: Do Welfare Economists Have a Special Exemption from Bayesian Rationality?” in: Theory and Decision, 6, 1975a, pp.311–32; reprinted in Harsanyi (1976).
John C. Harsanyi, “Can the Maximin Principle Serve as a Basis for Morality? A Critique of John Rawls’s Theory”, in: American Political Science Review, 69, 1975b, pp.594–606; reprinted in Harsanyi (1976).
John C. Harsanyi, Essays on Ethics, Social Behavior, and Scientific Explanation. Dordrecht: D. Reidel 1976.
John C. Harsanyi, Rational Behavior and Bargaining Equilibrium in Games and Social Situations. Cambridge: Cambridge University Press 1977a.
John C. Harsanyi, “Advances in Understanding Rational Behavior”, in: Robert E. Butts and Jaakko Hintikka (Eds.) Proceedings of the Fifth International Congress of Logic, Methodology and Philosophy of Science, Vol. II. Dordrecht: D. Reidel 1977b, pp.315–343; reprinted in Harsanyi (1976).
John C. Harsanyi, “Bayesian Decision Theory and Utilitarian Ethics”, in: American Economic Review (Papers and Proceedings), 68, 1978, pp.223–8.
John C. Harsanyi, “Uses of Bayesian Probability Models in Game Theory”, in: D.H. Milnor (Ed.) Science, Belief and Behaviour: Essays in Honour of R.B. Braithwaite. Cambridge: Cambridge University Press 1980, pp.189–201; reprinted in Harsanyi (1982a), eh. 9.
John C. Harsanyi, Papers in Game Theory. Dordrecht: D. Reidel 1982a.
John C. Harsanyi, “Subjective Probability and the Theory of Games: Comments on Kadane and Larkey’s Paper” and “Rejoinder to Professors Kadane and Larkey”, in: Management Science, 28, 1982b, pp.120–124 and 124–125.
John C. Harsanyi, “Uses of Subjective Probability in Game Theory”, in: Bernt P. Stigum and Fred Wenstop (Eds.) Foundations of Utility and Risk with Applications. Dordrecht: D. Reidel 1983a, pp. 297–310.
John C. Harsanyi, “Bayesian Decision Theory, Subjective and Objective Probabilities, and Acceptance of Empirical Hypotheses”, in: Synthese, 57, 1983b, pp. 341–365.
Marco Mariotti, “The Decision-Theoretic Foundations of Game Theory” in: Kenneth J. Arrow, Enrico Colombatto, Mark Perlman, and Christian Schmidt (Eds.) The Rational Foundations of Economic Behaviour. London: Macmillan 1996, ch. 6, pp.133–148.
Jacob A. Marschak, “Rational Behavior, Uncertain Prospects, and Measurable Utility”, in: Econometrica,18, 1950, pp.l 11–141.
John von Neumann and Oskar Morgenstern, 1944, Theory of Games and Economic Behavior (3rd. edn.). Princeton: Princeton University Press 1953.
David Pearce, “Rationalizable Strategic Behavior and the Problem of Perfection”, in: Econometrica,52, 1984, pp.1029–1050.
Paul A. Samuelson, “Probability, Utility, and the Independence Axiom”, in: Econometrica, 20, 1952, pp. 670–678.
Leonard J. Savage, The Foundations of Statistics. New York: John Wiley 1954.
Tommy C.-C. Tan and Sérgio R. da C. Werlang, “The Bayesian Foundations of Solution Concepts of Games”, in: Journal of Economic Theory, 45, 1988, pp. 370–391
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Hammond, P.J. (1998). Consequentialism and Bayesian Rationality in Normal Form Games. In: Leinfellner, W., Köhler, E. (eds) Game Theory, Experience, Rationality. Vienna Circle Institute Yearbook [1997], vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1654-3_16
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