Abstract
A forward induction solution for finitely repeated games with complete information is developed. This notion is motivated in terms of its implications on the way deviations affect the opponents' expectations about the future behavior of the deviating player. We argue that the inability of the notion of perfect equilibrium to take account of forward induction is a key factor responsible for a number of difficulties encountered in the use of perfect equilibria in repeated games. It is then shown that the solution proposed in this paper remedies some of these problems in the study of three important classes of repeated games: (i) finitely repeated coordination games; (ii) repeated games where one long-term player plays a sequence of short-term players; (iii) repeated battle of the sexes games.
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References
Asheim, G.: 1991, ‘Extending Renegotiation-Proofness to Infinite Horizon Games,”Games and Economic Behavior,3, 278–294.
Aumann R. and Sorin, S.: 1989, ‘Cooperation and Bounded Recall,’Games and Economic Behavior,1, 5–39.
Benoit, J.-P. and Krishna, V.: 1985, ‘Finitely Repeated Games’,Econometrica,53, 905–922.
Farrell, J.: 1985, ‘Credible Neologisms in Games of Communication’, Berkeley.
Fudenberg, D. and Levine, D: 1989, ‘Reputation and Equilibrium Selection in Games with a Patient Player’,Econometrica,57, 759–778.
Greenberg, J.: 1990,The Theory of Social Situations, An Alternative Game-Theoretic Approach. Cambridge: Cambridge University Press.
Kohlberg, E. and Mertens, J.-F.: 1986, ‘On the Strategic Stability of Equilibria’,Econometrica,54, 1003–1039.
Kreps, D. and Wilson R.: 1982, ‘Sequential Equilibria’,Econometrica,50, 863–894.
Matsui, A.: 1991, ‘Cheap-Talk and Cooperation in a Society’,Journal of Economic Theory,54, 245–258.
Osborne, M.J.: 1989, ‘Signalling, Forward Induction, and Stability in Finitely Repeated Games’,Journal of Economic Theory,50, 22–36.
Ponssard, J.-P.: 1990, ‘Self Enforceable Paths in Extensive Form Games’,Theory and Decision,29, 69–83.
Ponssard, J.-P.: 1991, ‘Forward Induction and Sunk Costs give Average Cost Pricing’,Games and Economic Behavior,3, 221–236.
Rubinstein, A.: 1991, ‘Comments on the Interpretation of Game Theory’,Econometrica,59, 909–924.
van Damme, E.: 1987,Stability and Perfection of Nash Equilibria. New York: Springer-Verlag.
van Damme, E.: 1989, ‘Stable Equilibria and Forward Induction’,Journal of Economic Theory,48, 476–496.
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Al-Najjar, N. A theory of forward induction in finitely repeated games. Theor Decis 38, 173–193 (1995). https://doi.org/10.1007/BF01079499
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DOI: https://doi.org/10.1007/BF01079499