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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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  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. Berger, Ulrich, 2008. "Learning in games with strategic complementarities revisited," Journal of Economic Theory, Elsevier, Elsevier, vol. 143(1), pages 292-301, November.
  2. Viossat, Yannick & Zapechelnyuk, Andriy, 2013. "No-regret dynamics and fictitious play," Journal of Economic Theory, Elsevier, Elsevier, vol. 148(2), pages 825-842.
  3. Fudenberg, Drew & Levine, David, 1995. "Consistency and Cautious Fictitious Play," Scholarly Articles 3198694, Harvard University Department of Economics.
  4. Drew Fudenberg & David K. Levine, 1998. "Learning in Games," Levine's Working Paper Archive 2222, David K. Levine.
  5. Sjostrom, T. & Krishna, V., 1995. "On the Convergence of Ficticious Play," Papers, Pennsylvania State - Department of Economics 04-95-07, Pennsylvania State - Department of Economics.
  6. Phillip Johnson & David K. Levine & Wolfgang Pesendorfer, 1998. "Evolution and Information in a Prisoner's Dilemma Game," Working Papers, Centro de Investigacion Economica, ITAM 9805, Centro de Investigacion Economica, ITAM.
  7. Ehud Kalai & Ehud Lehrer & Rann Smorodinsky, 2010. "Calibrated Forecasting and Merging," Levine's Working Paper Archive 584, David K. Levine.
  8. Sergiu Hart & Andreu Mas-Colell, 1999. "A General Class of Adaptive Strategies," Game Theory and Information, EconWPA 9904001, EconWPA, revised 23 Mar 2000.
  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. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information, EconWPA 0408003, EconWPA.

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