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Game Theory and the History of Ideas about Rationality: An Introductory Survey

Published online by Cambridge University Press:  16 October 2009

Ann E. Cudd
Affiliation:
Occidental College

Extract

Although it may seem from its formalism that game theory must have sprung from the mind of John von Neumann as a corollary of his work on computers or theoretical physics, it should come as no real surprise to philosophers that game theory is the articulation of a historically developing philosophical conception of rationality in thought and action. The history of ideas about rationality is deeply contradictory at many turns. While there are theories of rationality that claim it is fundamentally social and aims at understanding and molding all facets of human psychological life, game theory takes rationality to be essentially located in individuals and to concern only the means to achieve predetermined ends. Thus, there are some thinkers who have made important contributions to this history who do not appear in the story of game theory at all, among them, Plato, Kant, and Hegel. There is, however, a clear trail to follow linking theories of instrumental rationality from Aristotle to the nineteenth-century marginalist economists and ultimately to von Neumann and Morgenstern and contemporary game theorists, that historically grounds game theory as a model of rational interaction.

Type
Essays
Copyright
Copyright © Cambridge University Press 1993

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References

REFERENCES

Aristotle, . 1941. Nicomachean Ethics. Translated by Ross, W. D., in The Collected Works of Aristotle, edited by McKeon, Richard, pp. 9351112. New York: Random House.Google Scholar
Aumann, Robert. 1976. “Agreeing to Disagree.” The Annals of Statistics 4:1236–38.CrossRefGoogle Scholar
Bacharach, Michael. 1987. “A Theory of Rational Decision in Games.” Erkenntnis 27:1755.CrossRefGoogle Scholar
Battalio, Raymond, Kagel, John, and MacDonald, Don. 1985. “Animal Choices over Uncertain Outcomes: Some Initial Experimental Results.” American Economic Review 74:597613.Google Scholar
Bayes, Thomas. 1940. “An Essay Toward Solving a Problem in the Doctrine of Chances.” In Facsimiles of Two Papers by Bayes. Washington: The U. S. Dept. of Agriculture.Google Scholar
Becker, Gary. 1976. The Economic Approach to Human behavior. Chicago: University of Chicago Press.CrossRefGoogle Scholar
Bentham, Jeremy. 1983. “The Article on Utilitarianism.” In Deontology together with A Table of the Springs of Action and The Article on Utilitarianism, edited by Goldworth, Amnon. Oxford: Clarendon Press.Google Scholar
Bernheim, B. D. 1984. “Rationalizable Strategic Behavior.” Econometrica 52:1007–28.CrossRefGoogle Scholar
Bernoulli, Daniel. 1954 (first ed. 1738). “Exposition of a New Theory on the Measurement of Risk.” Econometrica 27:2336. Translated by Louise Sommer from “Specimen Theoria Novae de Mensura Sortis.” Reprinted in Page (1968, pp. 199–214).CrossRefGoogle Scholar
Binmore, Ken. 19871988. “Modeling Rational Players.” Parts I and II. Economics and Philosophy 3:179214; 4:9–56.CrossRefGoogle Scholar
Binmore, Ken, and Dasgupta, Partha. 1987. The Economics of Bargaining. New York: Basil Blackwell.Google Scholar
Borel, Emile. 1924. “Sur Ies jeux ou interviennent l'hasard et l'habileté des joueurs.” In Théorie des probabilités, edited by Hermann, J., pp. 204–24. Paris: Librarie Scientifique. Translated as “On Games that Involve Chance and the Skill of the Players” by L. J. Savage in Econometrica 21(1953):101–15.Google Scholar
Brams, Steven. 1980. Biblical Games. Cambridge: MIT Press.Google Scholar
Buchanan, James M., and Tullock, Gordon. 1962. The Calculus of Consent. Ann Arbor: University of Michigan Press.Google Scholar
Butler, Bishop Joseph. 1850 (first ed. 1736). The Works of Joseph Butler. New York: Robert Carter & Brothers.Google Scholar
Coleman, James. 1986. Individual Interests and Collective Action. New York: Cambridge University Press.Google Scholar
Davidson, Donald. 1985. “The Very Idea of a Conceptual Scheme.” In Essays on Truth and Interpretation, pp. 183–98. New York: Oxford University Press.Google Scholar
Edgeworth, F. Y. 1881. Mathematical Psychics. London: Paul.Google Scholar
Ellsberg, Daniel. 1968 (first ed. 1954). “Classic and Current Notions of ‘Measurable Utility.’” Economic Journal 64:528–56. Reprinted in Utility Theory: A Book of Readings, edited by A. N. Page, pp. 269–96. New York: Wiley.CrossRefGoogle Scholar
Etzioni, Amitai. 1986. “The Case for a Multipe-Utility Conception.” Economics and Philosophy 2:159–84.CrossRefGoogle Scholar
Fishburn, Peter. 1989. “Retrospective on the Utility Theory of von Neumann and Morgenstern.” Journal of Risk and Uncertainty 2:127–58.CrossRefGoogle Scholar
Gauthier, David. 1986. Morals By Agreement. Oxford: Oxford University Press.Google Scholar
Hacking, Ian. 1975. The Emergence of Probability. New York: Cambridge University Press.Google Scholar
Halevy, Eli. 1972. The Growth of Philosophic Radicalism. Clifton, NJ: Augustus M. Kelley Publishers.Google Scholar
Harsanyi, John. 19671968. “Games with Incomplete Information Played by Bayesian Players.” Parts I–III. Management Science 14:159–82, 320–24, 486–502.CrossRefGoogle Scholar
Harsanyi, John. 1973. “Games with Randomly Disturbed Payoffs: A New Rationale for Mixed Strategy Equilibrium Points.” International Journal of Game Theory 5:6194.Google Scholar
Harsanyi, John. 1984. “Morality and the Theory of Rational Behaviour.” In Utilitarianism and Beyond edited by Sen, Amartya and Williams, Bernard, pp. 3962. Cambridge: Cambridge University Press.Google Scholar
Harsanyi, John, and Selten, Reinhard. 1988. A General Theory of Equilibrium Selection in Games. Cambridge: MIT Press.Google Scholar
Hintikka, Jaakko. 1962. Knowledge and Belief. Ithaca: Cornell University Press.Google Scholar
Hobbes, Thomas. 1982. Leviathan. New York: Penguin Books.Google Scholar
Hume, David. 1981. A Treatise of Human Nature. Oxford: Oxford University Press.Google Scholar
Keynes, John Maynard. 1929. A Treatise on Probability. London: MacMillan and Co., Ltd.Google Scholar
Knight, Frank. 1971 (first ed. 1921). Risk, Uncertainty and Profit. Chicago: University of Chicago Press.Google Scholar
Kreps, David. 1988. Notes on the Theory of Choice. Boulder: Westview Press.Google Scholar
Kreps, David, Milgrom, Paul, Roberts, John, and Wilson, Robert. 1982. “Rational Cooperation in the Finitely Repeated Prisoners' Dilemma.” Journal of Economic Theory 27:245–52.CrossRefGoogle Scholar
Kyburg, Henry Jr., 1961; Probability and the Logic of Rational Belief. Middletown, CT: Wesleyan University Press.Google Scholar
Lewis, David. 1969. Convention. Cambridge: Harvard University Press.Google Scholar
Luce, R. Duncan, and Raiffa, Howard. 1957. Games and Decisions. New York: Wiley.Google Scholar
Maynard Smith, John. 1982. Evolution and the Theory of Games. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Morgenstern, Oskar. 1976 (first ed. 1935). “Perfect Foresight and Economic Equilibrium.” In Selected Writings of Oskar Morgenstern, edited by Schotter, A., pp. 169–83. New York: New York University Press.Google Scholar
Moulin, Herve. 1982. Game Theory for the Social Sciences. New York: New York University Press.Google Scholar
Nash, John. 1951. “Noncooperative Games.” Annals of Mathematics 54:286–95.CrossRefGoogle Scholar
Page, Alfred N. 1968. Utility Theory: A Book of Readings. New York: Wiley.Google Scholar
Pareto, Vilfredo. 1971. Manual of Political Economy. Translated from the French edition of 1927 by Ann Schwier; edited by Schwier, Ann and Page, Alfred N.. New York: Augustus M. Kelley Publishers.Google Scholar
Pearce, David. 1984. “Rationalizable Strategic Behavior and the Problem of Perfection.” Econometrica 52:1029–50.CrossRefGoogle Scholar
Ramsey, F. P. 1990 (first ed. 1926). “Truth and Probability.” In Philosophical Papers, edited by Mellor, D. H., pp. 52109. Cambridge: Cambridge University Press.Google Scholar
Rescher, Nicholas. 1985. Pascal's Wager. Notre Dame: University of Notre Dame Press.Google Scholar
Resnik, Michael. 1987. Choices. Minneapolis: University of Minnesota Press.Google Scholar
Roth, Alvin. 1988. The Shapley Value: Essays in Honor of Lloyd S. Shapley. New York: Cambridge University Press.CrossRefGoogle Scholar
Roth, Alvin, and Sotomayor, Marilda. 1990. Two-Sided Matching: A Study in Game Theoretic Modeling and Analysis. New York: Cambridge University Press.CrossRefGoogle Scholar
Rousseau, Jean-Jacques. 1983. On the Social Contract and Discourses. Translated by Cress, D.. Indianapolis: Hackett.Google Scholar
Samuelson, Paul. 1983. Foundations of Economic Analysis. Enlarged edition. Cambridge: Harvard University Press.Google Scholar
Savage, Leonard. 1972. The Foundations of Statistics. Second revised edition. New York: Dover Publications.Google Scholar
Schelling, Thomas C. 1980 (first ed. 1960). The Strategy of Conflict. Cambridge: Harvard University Press.Google Scholar
Schick, Frederic. 1984. Having Reasons: An Essay on Rationality and Sociality. Princeton: Princeton University Press.CrossRefGoogle Scholar
Schick, Frederic. 1986. “Dutch Bookies and Money Pumps.” Journal of Philosophy 83:112–19.CrossRefGoogle Scholar
Schumpeter, Joseph. 1954. History of Economic Analysis. New York: Oxford University Press.Google Scholar
Selten, Reinhard. 1975. “Re-examination of the Perfectness Concept for Equilibrium in Extensive Games.” International Journal of Game Theory 4:2225.CrossRefGoogle Scholar
Sen, Amartya. 1977. “Rational Fools: A Critique of the Behavioral Foundations of Economic Theory.” Philosophy and Public Affairs 6:317–44.Google Scholar
Shafer, Glenn. 1989. “The Unity and Diversity of Probability.” Ronald G. Harper Distinguished Professor of Business Inaugural Lecture, University of Kansas.CrossRefGoogle Scholar
Shapley, Lloyd S. 1953. “A Value for N-person Games.” In Contributions to the Theory of Games, II, Annals of Mathematics Studies 24:307–17, edited by H. W. Kuhn and A. W. Tucker. Princeton: Princeton University Press.Google Scholar
Skyrms, Brian. 1990. The Dynamics of Rational Deliberation. Cambridge: Harvard University Press.Google Scholar
Smith, Adam. 1976 (first ed. 1776). An Inquiry into the Nature and Causes of the Wealth of Nations. Indianapolis: Liberty Press.Google Scholar
Spiegel, Henry. 1983. The Growth of Economic Thought. Revised edition. Durham, NC: Duke University Press.Google Scholar
Stigler, George. 1950. “The Development of Utility Theory, I and II.” Journal of Political Economy 58:307–27, 373–96.CrossRefGoogle Scholar
Thucydides, . 1952. The History of the Peloponnesian War. Translated by Crawley, Richard. Chicago: University of Chicago Press.Google Scholar
van Damme, Eric. 1987. Stability and Perfection of Nash Equilibria. Heidelberg: Springer-Verlag.CrossRefGoogle Scholar
von Neumann, John. 1959 (first ed. 1928). “On The Theory of Games of Strategy.” In Contributions to the Theory of Games, Vol. IV, edited by Tucker, A. and Luce, R. D., pp. 1342. Princeton: Princeton University Press. Translated by Sonya Bargmann from “Zur Theorie der Gesellschaftsspiele.” Mathematik Annalen 100:295–320.Google Scholar
von Neumann, John, and Oskar, Morgenstern. 1953. Theory of Games and Economic behavior. Third edition. Princeton: Princeton University Press.Google Scholar