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Belief Affirming in Learning Processes

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Author Info

  • 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 David K. Levine in its series Levine's Working Paper Archive with number 420.

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Date of creation: 09 Dec 2010
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Handle: RePEc:cla:levarc:420

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Web page: http://www.dklevine.com/

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References

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  1. Vijay Krishna & Tomas Sjostrom, 1995. "On the Convergence of Fictitious Play," Game Theory and Information 9503003, EconWPA.
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Cited by:
  1. Yannick Viossat & Andriy Zapechelnyuk, 2013. "No-regret Dynamics and Fictitious Play," Post-Print hal-00713871, HAL.
  2. Sjostrom, T. & Krishna, V., 1995. "On the Convergence of Ficticious Play," Papers 04-95-07, Pennsylvania State - Department of Economics.
  3. 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).
  4. Ehud Kalai & Ehud Lehrer & Rann Smorodinsky, 2010. "Calibrated Forecasting and Merging," Levine's Working Paper Archive 584, 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. Drew Fudenberg & David K. Levine, 1996. "Consistency and Cautious Fictitious Play," Levine's Working Paper Archive 470, David K. Levine.
  8. Ulrich Berger, 2004. "Two More Classes of Games with the Fictitious Play Property," Game Theory and Information 0408003, EconWPA.
  9. 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.
  10. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.

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