We show that the standard results for finitely repeated games do not survive the combination of two simple variations on the usual model. In particular, we add a small cost of changing actions and consider the effect of increasing the frequency of repetitions within a fixed period of time. We show that this can yield multiple subgame perfect equilibria in games like the Prisoners' Dilemma which normally have a unique equilibrium. Also, it can yield uniqueness in games which normally have multiple equilibria. For example, in a two by two coordination game, if the Pareto dominant and risk dominant outcomes coincide, the unique subgame perfect equilibrium for small switching costs and frequent repetition is to repeat this outcome every period. Also, in a generic Battle of the Sexes game, there is a unique subgame perfect equilibrium for small switching costs.
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number
1190.
Length: Date of creation: Jul 1997 Date of revision: Handle: RePEc:nwu:cmsems:1190
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References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Carlsson, Hans & van Damme, Eric, 1993.
"Global Games and Equilibrium Selection,"
Econometrica,
Econometric Society, vol. 61(5), pages 989-1018, September.
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Luis M.B. Cabral & Thomas Ross, 2006.
"Are Sunk Costs A Barrier To Entry?,"
Working Papers
06-09, New York University, Leonard N. Stern School of Business, Department of Economics.
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