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Belief Affirming in Learning Processes

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  • Monderer, Dov
  • Samet, Dov
  • Sela, Aner

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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File URL: http://www.sciencedirect.com/science/article/B6WJ3-45S938X-33/2/2d0ffbfc756945429efe02d31a3a981a
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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 73 (1997)
Issue (Month): 2 (April)
Pages: 438-452

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Handle: RePEc:eee:jetheo:v:73:y:1997:i:2:p:438-452

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. Sjostrom, T. & Krishna, V., 1995. "On the Convergence of Ficticious Play," Papers 04-95-07, Pennsylvania State - Department of Economics.
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Cited by:
  1. Sjostrom, T. & Krishna, V., 1995. "On the Convergence of Ficticious Play," Papers 04-95-07, Pennsylvania State - Department of Economics.
  2. Hart, Sergiu & Mas-Colell, Andreu, 2001. "A General Class of Adaptive Strategies," Journal of Economic Theory, Elsevier, vol. 98(1), pages 26-54, May.
  3. Kalai, Ehud & Lehrer, Ehud & Smorodinsky, Rann, 1999. "Calibrated Forecasting and Merging," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 151-169, October.
  4. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, vol. 148(2), pages 825-842.
  5. Drew Fudenberg & David K. Levine, 1996. "Consistency and Cautious Fictitious Play," Levine's Working Paper Archive 470, David K. Levine.
  6. Berger, Ulrich, 2008. "Learning in games with strategic complementarities revisited," Journal of Economic Theory, Elsevier, vol. 143(1), pages 292-301, November.
  7. Phillip Johnson & David K Levine & Wolfgang Pesendorfer, 1998. "Evolution and Information in a Prisoner's Dilemma Game," Levine's Working Paper Archive 2138, David K. Levine.
  8. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, EconWPA.
  9. 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).
  10. Drew Fudenberg & David K. Levine, 1998. "Learning in Games," Levine's Working Paper Archive 2222, David K. Levine.

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