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Learning in Repeated Games without Repeating the Game

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Author Info
Patrick Leoni
Abstract

This paper extends the convergence result on Bayesian learning in Kalai and Lehrer (1993a, 1993b) to a class of games where players have a payoff function continuous for the product topology. Provided that 1) every player maximizes her expected payoff against her own beliefs, 2) every player updates her beliefs in a Bayesian manner, and 3) prior beliefs other players’ strategies have a grain of truth, we show that after some finite time the equilibrium outcome of the above game is arbitrarily close to a Nash equilibrium. Those assumptions are shown to be tight.

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Paper provided by Institute for Empirical Research in Economics - IEW in its series IEW - Working Papers with number iewwp215.

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Handle: RePEc:zur:iewwpx:215

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Related research
Keywords: learning; product topology;

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

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  2. Alois Stutzer & Lukas Kienast, 2004. "Demokratische Beteiligung und Staatsausgaben: Die Auswirkungen des Frauenstimmrechts," CREMA Working Paper Series 2004-26, Center for Research in Economics, Management and the Arts (CREMA). [Downloadable!]
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  3. Lalive, Rafael & van Ours, Jan C. & Zweimueller, Josef, 2004. "How Changes in Financial Incentives Affect the Duration of Unemployment," IZA Discussion Papers 1363, Institute for the Study of Labor (IZA). [Downloadable!]
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  4. Igor Evstigneev & Thorsten Hens & Klaus Schenk-Hoppé, 2006. "Evolutionary stable stock markets," Economic Theory, Springer, vol. 27(2), pages 449-468, January. [Downloadable!] (restricted)
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  5. Patrick Leoni, . "Market Power, Survival and Accuracy of Predictions in Financial Markets," IEW - Working Papers iewwp216, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  6. Reto Foellmi & Josef Zweimüller, . "Income Distribution and Demand-induced Innovations," IEW - Working Papers iewwp212, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  7. Gruetter, Max & Lalive, Rafael, 2004. "The Importance of Firms in Wage Determination," IZA Discussion Papers 1367, Institute for the Study of Labor (IZA). [Downloadable!]
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  8. Lorenz Goette & David Huffman & Ernst Fehr, . "Loss Aversion and Labor Supply," IEW - Working Papers iewwp178, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  9. Bruno S. Frey & Simon Luechinger & Alois Stutzer, . "Valuing Public Goods: The Life Satisfaction Approach," IEW - Working Papers iewwp184, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  10. Hens,Thorsten & Herings,P. Jean-Jacques & Predtetchinskii,Arkadi, 2003. "Limits to Arbitrage when Market Participation Is Restricted," Research Memoranda 061, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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  11. Bruno S. Frey & Simon Luechinger, . "Measuring Terrorism," IEW - Working Papers iewwp171, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  12. Aleksander Berentsen & Esther Bruegger & Simon Loertscher, . "Heterogeneity, Local Information, and Global Interaction," IEW - Working Papers iewwp182, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  14. Bruno Frey & Alois Stutzer, 2005. "Happiness Research: State and Prospects," Review of Social Economy, Taylor and Francis Journals, vol. 63(2), pages 207-228, June. [Downloadable!] (restricted)
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  15. Steffen Huck & Michael Kosfeld, 2007. "The Dynamics of Neighbourhood Watch and Norm Enforcement," Economic Journal, Royal Economic Society, vol. 117(516), pages 270-286, 01. [Downloadable!] (restricted)
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  16. Fudenberg, D. & Levine, D.K., 1991. "Self-Confirming Equilibrium ," Working papers 581, Massachusetts Institute of Technology (MIT), Department of Economics.
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  17. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-45, September. [Downloadable!] (restricted)
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  18. Bruno S. Frey & Alois Stutzer, . "The Role of Direct Democracy and Federalism in Local Power," IEW - Working Papers iewwp209, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  19. Bruno S. Frey & Simon Luechinger & Alois Stutzer, 2004. "Calculating Tragedy: Assessing the Costs of Terrorism," CREMA Working Paper Series 2004-23, Center for Research in Economics, Management and the Arts (CREMA). [Downloadable!]
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  20. Kalai, Ehud & Lehrer, Ehud, 1993. "Subjective Equilibrium in Repeated Games," Econometrica, Econometric Society, vol. 61(5), pages 1231-40, September. [Downloadable!] (restricted)
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  21. Patrick Leoni, . "A Learning Theory for the Harsanyi's Doctrine in Repeated Games," IEW - Working Papers iewwp196, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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