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Finitely repeated games with social preferences

Published online by Cambridge University Press:  14 March 2025

Jörg Oechssler
Jörg Oechssler*
Affiliation:
Department of Economics, University of Heidelberg, Bergheimer Str. 58, 69115 Heidelberg, Germany
*
oechssler@uni-hd.de
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Abstract

A well-known result from the theory of finitely repeated games states that if the stage game has a unique equilibrium, then there is a unique subgame perfect equilibrium in the finitely repeated game in which the equilibrium of the stage game is being played in every period. Here I show that this result does in general not hold anymore if players have social preferences of the form frequently assumed in the recent literature, for example in the inequity aversion models of Fehr and Schmidt (Quartely Journal of Economics 114:817–868, 1999) or Bolton and Ockenfels (American Economic Review 100:166–193, 2000). In fact, repeating the unique stage game equilibrium may not be a subgame perfect equilibrium at all. This finding should have relevance for all experiments with repeated interaction, whether with fixed, random or perfect stranger matching.

Keywords

Social preferencesFinitely repeated gamesInequity aversionERC

JEL classification

C73: Stochastic and Dynamic Games • Evolutionary Games • Repeated GamesC72: Noncooperative Games

Information

Type
Article
Information
Experimental Economics , Volume 16 , Issue 2 , June 2013, pp. 222 - 231
Copyright
Copyright © 2012 Economic Science Association

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Footnotes

I thank Christoph Brunner, David Cooper, John Duffy, Dirk Engelmann, Nikos Nikiforakis, Axel Ockenfels, Klaus Schmidt, and participants of the ESA conference in Chicago for discussions. Three referees and the editor provided very useful comments.

References

Balafoutas, L. Kocher, M., & Putterman, L. Sutter, M. (2010). Equality, equity and incentives: an experiment (IZA Discussion Paper No. 5204).Google Scholar
Brown, M., Falk, A., & Fehr, E. (2004). Relational contracts and the nature of market interactions. Econometrica, 72(3), 747–780. 10.1111/j.1468-0262.2004.00511.xCrossRefGoogle Scholar
Bolton, G. E., & Ockenfels, A. (2000). A theory of equity, reciprocity and competition. American Economic Review, 100, 166–193. 10.1257/aer.90.1.166CrossRefGoogle Scholar
Cabrales, A., Nagel, R., & Rodriguez Mora, J. V. (2012). It is Hobbes, not Rousseau: an experiment on voting and redistribution. Experimental Economics, 15(2), 278–308. 10.1007/s10683-011-9300-xCrossRefGoogle Scholar
Charness, G., & Rabin, M. (2002). Understanding social preferences with simple tests. Quarterly Journal of Economics, 117, 817–869. 10.1162/003355302760193904CrossRefGoogle Scholar
Cohn, A., Fehr, E., Herrmann, B., & Schneider, F. (2011). Social comparison in the workplace: evidence from a field experiment (IZA Discussion Paper No. 5550).Google Scholar
Duffy, J., & Muñoz-García, F. (2012). Patience or fairness? Analyzing social preferences in repeated games. Games, 3(1), 56–77. 10.3390/g3010056CrossRefGoogle Scholar
Engelmann, D., & Strobel, M. (2004). Inequality aversion, efficiency, and maximin preferences in simple distribution experiments. American Economic Review, 94(4), 857–869. 10.1257/0002828042002741CrossRefGoogle Scholar
Fehr, E., & Schmidt, K. M. (1999). A theory of fairness, competition and cooperation. Quarterly Journal of Economics, 114, 817–868. 10.1162/003355399556151CrossRefGoogle Scholar
Fudenberg, D., & Levine, D. K. (2012). Fairness, risk preferences and independence: impossibility theorems. Journal of Economic Behavior & Organization, 81, 606–612. 10.1016/j.jebo.2011.09.004CrossRefGoogle Scholar
Hu, W. (2010). Inequity aversion preference in the dynamic public good game (Mimeo), University of Toulouse.CrossRefGoogle Scholar
Huck, S., Müller, W., & Normann, H. T. (2001). Stackelberg beats Cournot: on collusion and efficiency in experimental markets. Economic Journal, 111, 749–765. 10.1111/1468-0297.00658CrossRefGoogle Scholar
Masclet, D., & Villeval, M.-C. (2008). Punishment, inequality, and welfare: a public good experiment. Social Choice and Welfare, 31, 475–502. 10.1007/s00355-007-0291-7CrossRefGoogle Scholar
Osborne, M., & Rubinstein, A. (1994). A course in game theory, Cambridge: MIT Press.Google Scholar
Rabin, M., & Weizsäcker, G. (2009). Narrow bracketing and dominated choices. American Economic Review, 99(4), 1508–1543. 10.1257/aer.99.4.1508CrossRefGoogle Scholar
Rubinstein, A., & Wolinsky, A. (1995). Remarks on infinitely repeated extensive-form games. Games and Economic Behavior, 9, 110–115. 10.1006/game.1995.1007CrossRefGoogle Scholar
Sousa, S. (2010). Cooperation and punishment under uncertain enforcement (CeDex Discussion Paper No. 2010-06), University of Nottingham.Google Scholar
Sutter, M., Haigner, S., & Kocher, M. (2010). Choosing the stick or the carrot? Endogenous institutional choice in social dilemma situations. Review of Economic Studies, 77(4), 1540–1566. 10.1111/j.1467-937X.2010.00608.xCrossRefGoogle Scholar
Teyssier, S. (2008). Experimental evidence on inequity aversion and self-selection between incentive contracts (GATE working paper W.p. 08–21).Google Scholar
Trautmann, S. T. (2009). A tractable model of process fairness under risk. Journal of Economic Psychology, 30(5), 803–813. 10.1016/j.joep.2009.07.002CrossRefGoogle Scholar
Tversky, A., & Kahneman, D. (1981). The framing of decisions and the psychology of choice. Science, 211, 453–458. 10.1126/science.7455683CrossRefGoogle ScholarPubMed