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Modeling Rational Players: Part I

  • Ken Binmore (a1)
Abstract

Game theory has proved a useful tool in the study of simple economic models. However, numerous foundational issues remain unresolved. The situation is particularly confusing in respect of the non-cooperative analysis of games with some dynamic structure in which the choice of one move or another during the play of the game may convey valuable information to the other players. Without pausing for breath, it is easy to name at least 10 rival equilibrium notions for which a serious case can be made that here is the “right” solution concept for such games.

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Abreu D., and Rubinstein A. 1986. “The Structure of Nash Equilibrium in Repeated Games with Finite Automata.” ICERD discussion paper 86/141, London School of Economics.
Aumann R. 1974. “Subjectivity and Correlation in Randomized Mixed Strategy.” Journal of Mathematical Economics 1:6796.
Aumann R. 1983. “Correlated Equilibrium as an Expression of Bayesian Rationality.” Mimeo. Hebrew University, Jerusalem.
Banks J., and Sobel J. 1985. “Equilibrium Selection in Signalling Games.” Mimeo. Cambridge: M.I.T.
Basu K. 1985. “Strategic Irrationality in Extensive Games.” Mimeo. Institute for Advanced Study, Princeton.
Bernheim D. 1984. “Rationalizable Strategic Behavior.” Econometrica 52:1007–28.
Binmore K.G. 1984. “Equilibria in Extensive Games.” Economic Journal. 95:5159.
Binmore K.G. 1987. “Experimental Economics.” European Economic Review. Forthcoming.
Brandenburger A., and Dekel E.. 1985a. “Common Knowledge with Probability 1.” Research paper 796R, Stanford University.
Brandenburger A., and Dekel E.. 1985b. “Hierarchies of Beliefs and Common Knowledge.” Research paper 841, Stanford University.
Brandenburger A., and Dekel E.. 1985c. “Rationalizability and Correlated Equilibrium.” Mimeo. Harvard University.
Brandenburger A., and Dekel E.. 1986. “Bayesian Rationality in Games.” Mimeo. Harvard University.
Cho I., and Kreps D. 1985. “More Signalling Games and Stable Equilibria.” Mimeo. Stanford University.
De Finetti B. 1974. Theory of Probability. New York: Wiley.
Friedman J., and Rosenthal R. 1984. “A Positive Approach to Non-Cooperative Games.” Mimeo. Blacksburg, Va.: Virginia Polytechnic Institute and State University.
Fudenberg D., Kreps D. and Levine D. 1986. “On the Robustness of Equilibrium Refinements” Mimeo. Stanford University.
Harsanyi J. 1967/1968. “Games of Incomplete Information Played by Bayesian Players.” Parts I, II and III. Management Science 14:159–82, 320–34, 486–502.
Harsanyi J. 1975. “The Tracing Procedure.” International Journal of Game Theory 5:6194.
Harsanyi J., and Selten R. 1980. “A Non-Cooperative Solution Concept with Cooperative Applications.” Chap. 1. Draft. Center for Research in Management, Berkeley, Cal.
Harsanyi J., and Selten R. 1982. “A General Theory of Equilibrium Selection in Games.” Chap. 3. Draft. Bielefeld working paper 1114, Bielefeld.
Hayek F. 1948. “Economics and Knowledge.” In Individual and Economic Order. Chicago: University of Chicago Press.
Kalai E., and Samet D. 1982. “Persistent Equilibrium in Strategic Games.” Discussion paper. Northwestern University.
Kline M., 1980. Mathematics, the Loss of Certainty. Oxford: Oxford University Press.
Kohlberg E., and Mertens J. 1983. “On the Strategic Stability of Equilibria.” C.O.R.E. discussion paper 8248. Université Catholique de Louvain.
Kohlberg E., and Mertens J. 1986. “On the Strategic Stability of Equilibria.” Econometrica 54:1003–37.
Kolmogorov A. 1950. Foundations of the Theory of Probability. New York: Chelsea.
Kreps D., and Wilson R. 1982a. “Sequential Equilibria.” Econometrica 50:863–94.
Kreps D., and Wilson R. 1982b. “Reputations and Imperfect Information.” Journal of Economic Theory 27:253–79.
Lakatos I. 1976. Proofs and Refutations, the Logic of Mathematical Discovery. Cambridge: Cambridge University Press.
Lewis D. 1976. Cotintcrfactuals, Oxford: Basil Blackwell.
Luce R., and Raiffa H. 1957. Games and Decisions. New York: Wiley.
Maynard Smith J. 1982. Evolution and the Theory of Games. Cambridge: Cambridge University Press.
Marschak T., and Selten R. 1978. “Restabilizing Responses, Inertia Supergames and Oligopolistic Equilibria.” Quarterly Journal of Economics 92:7193.
McAfee P. 1984. “Effective Computability in Economic Decisions.” Mimeo. University of Western Ontario.
Moulin H. 1981. Théorie des jeux pour l'économie et la politique. Paris: Hermann. (A revised version in English is published by New York University Press under the title Game Theory for the Social Sciences.)
Myerson R. 1978. “Refinements of the Nash Equilibrium Concept.” International Journal of Game Theory 7:7380.
Myerson R. 1984. “An Introduction to Game Theory.” Discussion paper 623. Northwestern University.
Myerson R. 1986. “Credible Negotiation Statements and Coherent Plans.” Discussion paper 691. Northwestern University.
Nash J. 1951. “Non-cooperative Games.” Annals of Mathematics 54:286–95.
Neyman A. 1985. “Bounded Complexity Justifies Cooperation in the Finitely Repeated Prisoners' Dilemma.” Economics Letters 19:227–29.
Pearce D. 1984. “Rationalizable Strategic Behavior and the Problem of Perfection.” Econometrica 52:1029–50.
Reny P. 1985. “Rationality, Common Knowledge and the Theory of Games.” Mimeo. Princeton University.
Rosenthal R. 1981. “Games of Perfect Information, Predatory Pricing and the Chain-Store Paradox.” Journal of Economic Theory 25:92100.
Rubinstein A. 1985, Finite Automata Play the Repeated Prisoners' Dilemma.” ST-ICERD discussion paper 85/109. London School of Economics.
Savage L. 1954. Foundations of Statistics. New York: Wiley.
Selten R. 1975. “Re-examination of the Perfectness Concept for Equilibrium in Extensive Games.” International Journal of Game Theory, 4:2225.
Selten R. 1978. “Chain-Store Paradox.” Theory and Decision 9:127–59.
Selten R. 1983. “Evolutionary Stability in Extensive 2-Person Games.” Bielefeld working papers 121 and 122. Bielefeld.
Selten R., and Leopold U. 1982. “Subjunctive Conditionals in Decision Theory and Game Theory. Studies in Economics, Vol. 2 of Philosophy of Economics, edited by Stegmuller/Balzer/Spohn. Berlin: Springer-Verlag.
Sen A. 1976. “Rational Fools.” Scientific Models of Man, The Herbert Spencer lectures, edited by Harris H.. Oxford: Oxford University Press.
Simon H. 1955. “A Behavioral Model of Rational Choice.” Quarterly Journal of Economics 69:99118.
Simon H. 1959. “Theories of Decision-Making in Economics.” American Economic Review 49:253–83.
Simon H. 1976. “From Substantive to Procedural Rationality.” In Method and Appraisal in Economics, edited by Latsis S.. Cambridge: Cambridge University Press.
Simon H. 1977. Models of Discovery. Dordrecht, The Netherlands: D. Reidel.
Tan T., and Werlang S. 1984. “The Bayesian Foundations of Rationalizable Strategic Behavior and Nash Equilibrium Behavior.” Mimeo. Princeton University.
Tan T., and Werlang S. 1985. “On Aumann's Notion of Common Knowledge: An Alternative Approach.” Serie B-028-jun/85. Rio de Janeiro: Instituto de Matematica pura e aplicada.
Werlang S. 1986. “Common Knowledge and the Game Theory.” Ph.D. Thesis. Princeton University.
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Economics & Philosophy
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