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Belief Affirming in Learning Processes

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  • Dov Monderer
  • Dov Samet
  • Aner Sela

Abstract

A learning process is belief affirming if for each player, the difference between her expected payoff in the next period, and the average of her past payoffs converges to zero. We show that every smooth discrete fictitious play and every continuous fictitious play is belief affirming. We also provide conditions under which general averaging processes are belief affirming.

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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 9408002.

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Date of creation: 11 Aug 1994
Date of revision: 11 Aug 1994
Handle: RePEc:wpa:wuwpga:9408002

Note: 14 p. AmS TeX. (for a PostScript file call samet@vm.tau.ac il).
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Web page: http://128.118.178.162

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  1. Vijay Krishna & T. Sjostrom, 2010. "On the Convergence of Fictitious Play," Levine's Working Paper Archive 417, David K. Levine.
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Cited by:
  1. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, EconWPA.
  2. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
  3. Vijay Krishna & T. Sjostrom, 2010. "On the Convergence of Fictitious Play," Levine's Working Paper Archive 417, David K. Levine.
  4. Drew Fudenberg & David K. Levine, 1996. "Consistency and Cautious Fictitious Play," Levine's Working Paper Archive 470, David K. Levine.
  5. Sergiu Hart & Andreu Mas-Colell, 1999. "A General Class of Adaptive Strategies," Game Theory and Information 9904001, EconWPA, revised 23 Mar 2000.
  6. Berger, Ulrich, 2008. "Learning in games with strategic complementarities revisited," Journal of Economic Theory, Elsevier, vol. 143(1), pages 292-301, November.
  7. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
  8. Phillip Johnson & David K. Levine & Wolfgang Pesendorfer, 1998. "Evolution and Information in a Prisoner's Dilemma Game," Working Papers 9805, Centro de Investigacion Economica, ITAM.
  9. Kalai, Ehud & Lehrer, Ehud & Smorodinsky, Rann, 1999. "Calibrated Forecasting and Merging," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 151-169, October.
  10. Driesen Bram, 2009. "Continuous fictitious play in zero-sum games," Research Memorandum 049, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

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