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Tolerance, Cooperation, and Equilibrium Restoration in Repeated Games

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  • Balanquit, Romeo

Abstract

This study shows that in a two-player infinitely repeated game where one is patient and the other is impatient, Pareto-superior subgame perfect equilibrium can be achieved. An impatient player in this paper is depicted as someone who can truly destroy the possibility of attaining any feasible and individually rational outcome that is supported in equilibrium in repeated games, as asserted by the Folk Theorem. In this scenario, the main ingredient for the restoration of equilibrium is to introduce the notion of tolerant trigger strategy. Consequently, the use of the typical trigger strategy is abandoned since it ceases to be efficient as it only brings automatically the game to its punishment path, therefore eliminating the possibility of extracting other feasible equilibria. I provide a simple characterization of perfect equilibrium payoffs under this scenario and show that cooperative outcome can be approximated.

Suggested Citation

  • Balanquit, Romeo, 2010. "Tolerance, Cooperation, and Equilibrium Restoration in Repeated Games," MPRA Paper 21877, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:21877
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    File URL: https://mpra.ub.uni-muenchen.de/28990/2/MPRA_paper_28990.pdf
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    References listed on IDEAS

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    1. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    2. Drew Fudenberg & David M. Kreps & Eric S. Maskin, 1990. "Repeated Games with Long-run and Short-run Players," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 555-573.
    3. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    4. James W. Friedman, 1973. "A Non-cooperative Equilibrium for Supergames: A Correction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(3), pages 435-435.
    5. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    6. Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
    7. Ehud Lehrer & Ady Pauzner, 1999. "Repeated Games with Differential Time Preferences," Econometrica, Econometric Society, vol. 67(2), pages 393-412, March.
    8. Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-922, July.
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    Cited by:

    1. Romeo Balanquit, 2013. "Stable Commitment in an Intertemporal Collusive Trade," UP School of Economics Discussion Papers 201301, University of the Philippines School of Economics.

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    More about this item

    Keywords

    infinitely-repeated games; tolerant trigger strategy;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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