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Epistemic Game Theory: Complete Information

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Abstract

The epistemic programme can be viewed as a methodical construction of game theory from its most basic elements – rationality and irrationality, belief and knowledge about such matters, beliefs about beliefs, knowledge about knowledge, and so on. To date, the epistemic field has been mainly focused on game matrices and trees – that is, on the non-cooperative branch of game theory. It has been used to provide foundations for existing non-cooperative solution concepts, and also to uncover new solution concepts. The broader goal of the programme is to provide a method of analysing different sets of assumptions about games in a precise and uniform manner.

This chapter was originally published in The New Palgrave Dictionary of Economics, 2nd edition, 2008. Edited by Steven N. Durlauf and Lawrence E. Blume

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Bibliography

  • Asheim, G. 2001. Proper rationalizability in lexicographic beliefs. International Journal of Game Theory 30: 453–478.

    Article  Google Scholar 

  • Asheim, G., and A. Perea. 2005. Sequential and quasi-perfect rationalizability in extensive games. Games and Economic Behavior 53: 15–42.

    Article  Google Scholar 

  • Aumann, R. 1974. Subjectivity and correlation in randomized strategies. Journal of Mathematical Economics 1: 67–96.

    Article  Google Scholar 

  • Aumann, R. 1987. Correlated equilibrium as an expression of Bayesian rationality. Econometrica 55: 1–18.

    Article  Google Scholar 

  • Aumann, R. 1995. Backward induction and common knowledge of rationality. Games and Economic Behavior 8: 6–19.

    Article  Google Scholar 

  • Aumann, R. 1996. Reply to Binmore. Games and Economic Behavior 17: 138–146.

    Article  Google Scholar 

  • Aumann, R. 1998a. On the centipede game. Games and Economic Behavior 23: 97–105.

    Article  Google Scholar 

  • Aumann, R. 1998b. Common priors: A reply to Gul. Econometrica 66: 929–938.

    Article  Google Scholar 

  • Aumann, R., and A. Brandenburger. 1995. Epistemic conditions for Nash equilibrium. Econometrica 63: 1161–1180.

    Article  Google Scholar 

  • Balkenborg, D., and E. Winter. 1997. A necessary and sufficient epistemic condition for playing backward induction. Journal of Mathematical Economics 27: 325–345.

    Article  Google Scholar 

  • Basu, K. 1990. On the existence of a rationality definition for extensive games. International Journal of Game Theory 19: 33–44.

    Article  Google Scholar 

  • Battigalli, P. 1997. On rationalizability in extensive games. Journal of Economic Theory 74: 40–61.

    Article  Google Scholar 

  • Battigalli, P., and M. Siniscalchi. 1999. Hierarchies of conditional beliefs and interactive epistemology in dynamic games. Journal of Economic Theory 88: 188–230.

    Article  Google Scholar 

  • Battigalli, P., and M. Siniscalchi. 2002. Strong belief and forward-induction reasoning. Journal of Economic Theory 106: 356–391.

    Article  Google Scholar 

  • Ben Porath, E. 1997. Rationality, Nash equilibrium, and backward induction in perfect information games. Review of Economic Studies 64: 23–46.

    Article  Google Scholar 

  • Bernheim, D. 1984. Rationalizable strategic behavior. Econometrica 52: 1007–1028.

    Article  Google Scholar 

  • Bicchieri, C. 1988. Strategic behavior and counterfactuals. Synthese 76: 135–169.

    Article  Google Scholar 

  • Bicchieri, C. 1989. Self-refuting theories of strategic interaction: A paradox of common knowledge. Erkenntnis 30: 69–85.

    Article  Google Scholar 

  • Binmore, K. 1987. Modelling rational players I. Economics and Philosophy 3: 179–214.

    Article  Google Scholar 

  • Binmore, K. 1996. A note on backward induction. Games and Economic Behavior 17: 135–137.

    Article  Google Scholar 

  • Blume, L., A. Brandenburger, and E. Dekel. 1991a. Lexicographic probabilities and choice under uncertainty. Econometrica 59: 61–79.

    Article  Google Scholar 

  • Blume, L., A. Brandenburger, and E. Dekel. 1991b. Lexicographic probabilities and equilibrium refinements. Econometrica 59: 81–98.

    Article  Google Scholar 

  • Bonanno, G. 1991. The logic of rational play in games of perfect information. Economics and Philosophy 7: 37–65.

    Article  Google Scholar 

  • Bonanno, G., and K. Nehring. 1999. How to make sense of the common prior assumption under incomplete information. International Journal of Game Theory 28: 409–434.

    Article  Google Scholar 

  • Börgers, T. 1994. Weak dominance and approximate common knowledge. Journal of Economic Theory 64: 265–276.

    Article  Google Scholar 

  • Brandenburger, A. 1992. Lexicographic probabilities and iterated admissibility. In Economic analysis of markets and games, ed. P. Dasgupta, D. Gale, O. Hart, and E. Maskin. Cambridge, MA: MIT Press.

    Google Scholar 

  • Brandenburger, A. 2007. The power of paradox: Some recent results in interactive epistemology. International Journal of Game Theory 35: 465–492.

    Article  Google Scholar 

  • Brandenburger, A., and E. Dekel. 1987. Rationalizability and correlated equilibria. Econometrica 55: 1391–1402.

    Article  Google Scholar 

  • Brandenburger, A., Friedenberg, A. and Keisler, H.J. 2006. Admissibility in games. Unpublished, Stern School of Business, New York University.

    Google Scholar 

  • Dalkey, N. 1953. Equivalence of information patterns and essentially determinate games. In Contributions to the theory of games, ed. H. Kuhn and A. Tucker, Vol. 2. Princeton: Princeton University Press.

    Google Scholar 

  • Dekel, E., and D. Fudenberg. 1990. Rational behavior with payoff uncertainty. Journal of Economic Theory 52: 243–267.

    Article  Google Scholar 

  • Ewerhart, C. 2002. Ex-ante justifiable behavior, common knowledge, and iterated admissibility. Unpublished, Department of Economics, University of Bonn.

    Google Scholar 

  • Feinberg, Y. 2000. Characterizing common priors in terms of posteriors. Journal of Economic Theory 91: 127–179.

    Article  Google Scholar 

  • Friedenberg, A. 2002. When common belief is correct belief. Unpublished, Olin School of Business, Washington University.

    Google Scholar 

  • Gale, D. 1953. A theory of n-person games with perfect information. Proceedings of the National Academy of Sciences 39: 496–501.

    Article  Google Scholar 

  • Gul, F. 1998. A comment on Aumann’s Bayesian view. Econometrica 66: 923–927.

    Article  Google Scholar 

  • Halpern, J. 1999. Hypothetical knowledge and counterfactual reasoning. International Journal of Game Theory 28: 315–330.

    Article  Google Scholar 

  • Halpern, J. 2001. Substantive rationality and backward induction. Games and Economic Behavior 37: 425–435.

    Article  Google Scholar 

  • Halpern, J. 2002. Characterizing the common prior assumption. Journal of Economic Theory 106: 316–355.

    Article  Google Scholar 

  • Harsanyi, J. 1967–8. Games with incomplete information played by ‘Bayesian’ players, I–III. Management Science 14: 159–182, 320–334, 486–502.

    Google Scholar 

  • Harsanyi, J. 1973. Games with randomly disturbed payoffs: A new rationale for mixed strategy equilibrium points. International Journal of Game Theory 2: 1–23.

    Article  Google Scholar 

  • Kohlberg, E., and J.-F. Mertens. 1986. On the strategic stability of equilibria. Econometrica 54: 1003–1037.

    Article  Google Scholar 

  • Marx, L., and J. Swinkels. 1997. Order independence for iterated weak dominance. Games and Economic Behavior 18: 219–245.

    Article  Google Scholar 

  • Mertens, J.-F. 1989. Stable equilibria – A reformulation. Mathematics of Operations Research 14: 575–625.

    Article  Google Scholar 

  • Morris, S. 1994. Trade with heterogeneous prior beliefs and asymmetric information. Econometrica 62: 1327–1347.

    Article  Google Scholar 

  • Myerson, R. 1978. Refinements of the Nash equilibrium concept. International Journal of Game Theory 1: 73–80.

    Article  Google Scholar 

  • Myerson, R. 1991. Game theory. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Pearce, D. 1984. Rational strategic behavior and the problem of perfection. Econometrica 52: 1029–1050.

    Article  Google Scholar 

  • Reny, P. 1992. Rationality in extensive form games. Journal of Economic Perspectives 6(4): 103–118.

    Article  Google Scholar 

  • Rényi, A. 1955. On a new axiomatic theory of probability. Acta Mathematica Academiae Scientiarum Hungaricae 6: 285–335.

    Article  Google Scholar 

  • Rosenthal, R. 1981. Games of perfect information, predatory pricing and the chain-store paradox. Journal of Economic Theory 25: 92–100.

    Article  Google Scholar 

  • Samet, D. 1996. Hypothetical knowledge and games with perfect information. Games and Economic Behavior 17: 230–251.

    Article  Google Scholar 

  • Samet, D. 1998a. Common priors and the separation of convex sets. Games and Economic Behavior 24: 172–174.

    Article  Google Scholar 

  • Samet, D. 1998b. Iterated expectations and common priors. Games and Economic Behavior 24: 131–141.

    Article  Google Scholar 

  • Samuelson, L. 1992. Dominated strategies and common knowledge. Games and Economic Behavior 4: 284–313.

    Article  Google Scholar 

  • Stahl, D. 1995. Lexicographic rationalizability and iterated admissibility. Economic Letters 47: 155–159.

    Article  Google Scholar 

  • Stalnaker, R. 1996. Knowledge, belief and counterfactual reasoning in games. Economics and Philosophy 12: 133–163.

    Article  Google Scholar 

  • Stalnaker, R. 1998. Belief revision in games: Forward and backward induction. Mathematical Social Sciences 36: 31–56.

    Article  Google Scholar 

  • Tan, T., and S. Werlang. 1988. The Bayesian foundations of solution concepts of games. Journal of Economic Theory 45: 370–391.

    Article  Google Scholar 

  • Thompson, F. 1952. Equivalence of games in extensive form. Research Memorandum RM-759. The RAND Corporation.

    Google Scholar 

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Brandenburger, A. (2008). Epistemic Game Theory: Complete Information. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95121-5_2642-1

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  • DOI: https://doi.org/10.1057/978-1-349-95121-5_2642-1

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