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Revisiting games of incomplete information with analogy-based expectations

  • Jehiel, Philippe
  • Koessler, Frédéric

This paper studies the effects of analogy-based expectations in static two-player games of incomplete information. Players are assumed to be boundedly rational in the way they forecast their opponent's state-contingent strategy: they bundle states into analogy classes and play best-responses to their opponent's average strategy in those analogy classes. We provide general properties of analogy-based expectation equilibria and apply the model to a variety of well known games. We characterize conditions on the analogy partitions for successful coordination in coordination games under incomplete information [Rubinstein, A., 1989. The electronic mail game: Strategic behavior under 'almost common knowledge'. Amer. Econ. Rev. 79, 385-391], we show how analogy grouping of the receiver may facilitate information transmission in Crawford and Sobel's cheap talk games [Crawford, V.P., Sobel, J., 1982. Strategic information transmission. Econometrica 50, 1431-1451], and we show how analogy grouping may give rise to betting in zero-sum betting games such as those studied to illustrate the no trade theorem.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 62 (2008)
Issue (Month): 2 (March)
Pages: 533-557

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Handle: RePEc:eee:gamebe:v:62:y:2008:i:2:p:533-557
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  1. Matthew Jackson & Ehud Kalai, 1995. "Social Learning in Recurring Games," Discussion Papers 1138, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Board, Oliver J. & Blume, Andreas & Kawamura, Kohei, 2007. "Noisy talk," Theoretical Economics, Econometric Society, vol. 2(4), December.
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  9. Marco Ottaviani & Francesco Squintani, 2002. "Non-Fully Strategic Information Transmission," Wallis Working Papers WP29, University of Rochester - Wallis Institute of Political Economy.
  10. Rubinstein, Ariel, 1989. "The Electronic Mail Game: Strategic Behavior under "Almost Common Knowledge."," American Economic Review, American Economic Association, vol. 79(3), pages 385-91, June.
  11. Ignacio Esponda, 2008. "Behavioral Equilibrium in Economies with Adverse Selection," American Economic Review, American Economic Association, vol. 98(4), pages 1269-91, September.
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  13. Samuelson, William F, 1984. "Bargaining under Asymmetric Information," Econometrica, Econometric Society, vol. 52(4), pages 995-1005, July.
  14. Paul Milgrom & Nancy L.Stokey, 1979. "Information, Trade, and Common Knowledge," Discussion Papers 377R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  15. Eyster, Erik & Rabin, Matthew, 2002. "Cursed Equilibrium," Department of Economics, Working Paper Series qt7p2911dn, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  16. Hyun Song Shin & Andrew Postlewaite & Stephen Morris, 1995. "Depth of knowledge and the effect of higher order uncertainty," Economic Theory, Springer, vol. 6(3), pages 453-467.
  17. Akerlof, George A, 1970. "The Market for 'Lemons': Quality Uncertainty and the Market Mechanism," The Quarterly Journal of Economics, MIT Press, vol. 84(3), pages 488-500, August.
  18. Kartik, Navin & Ottaviani, Marco & Squintani, Francesco, 2007. "Credulity, lies, and costly talk," Journal of Economic Theory, Elsevier, vol. 134(1), pages 93-116, May.
  19. V. Crawford & J. Sobel, 2010. "Strategic Information Transmission," Levine's Working Paper Archive 544, David K. Levine.
  20. Morgan, J. & Stocken, P., 1998. "An Analysis of Stock Recommendations," Papers 204, Princeton, Woodrow Wilson School - Public and International Affairs.
  21. Krishna, Vijay & Morgan, John, 2004. "The art of conversation: eliciting information from experts through multi-stage communication," Journal of Economic Theory, Elsevier, vol. 117(2), pages 147-179, August.
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