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Information Transmission and Preference Similarity

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  • Andreas Blume

    (Univ. of Iowa)

Abstract

This paper examines sets of Nash equilibria in sender-receiver games that are stable against replacement by alternative Nash equilibria. Such stable sets exist. In {\em partial common interest games} they contain only informative equilibria. The stability requirement sharpens currently available predictions for such games by (1) weakening the partial common interest condition, (2) ruling out strictly dominated actions, (3) reflecting the informativeness of the sender's strategy in the receiver's reply, and (4) by ruling out pooling actions. This approach is then used as a step toward unifying the study of partial common interest games and of Crawford and Sobel's parametric model of preference similarity.

Suggested Citation

  • Andreas Blume, 1995. "Information Transmission and Preference Similarity," Game Theory and Information 9504002, University Library of Munich, Germany, revised 29 May 1996.
  • Handle: RePEc:wpa:wuwpga:9504002
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    References listed on IDEAS

    as
    1. Rabin, Matthew & Sobel, Joel, 1996. "Deviations, Dynamics, and Equilibrium Refinements," Journal of Economic Theory, Elsevier, vol. 68(1), pages 1-25, January.
    2. Rabin, Matthew, 1990. "Communication between rational agents," Journal of Economic Theory, Elsevier, vol. 51(1), pages 144-170, June.
    3. Swinkels, Jeroen M., 1992. "Evolutionary stability with equilibrium entrants," Journal of Economic Theory, Elsevier, vol. 57(2), pages 306-332, August.
    4. Myerson, Roger B., 1989. "Credible negotiation statements and coherent plans," Journal of Economic Theory, Elsevier, vol. 48(1), pages 264-303, June.
    5. Blume Andreas & Kim Yong-Gwan & Sobel Joel, 1993. "Evolutionary Stability in Games of Communication," Games and Economic Behavior, Elsevier, vol. 5(4), pages 547-575, October.
    6. Matthews, Steven A. & Okuno-Fujiwara, Masahiro & Postlewaite, Andrew, 1991. "Refining cheap-talk equilibria," Journal of Economic Theory, Elsevier, vol. 55(2), pages 247-273, December.
    7. Blume, A. & De Jong, D.V. & Kim, Y.G. & Sprinkle, G.B., 1994. "Evolution of the Meaning of Messages in Sender-Receiver Games: An Experiment," Papers 9491, Tilburg - Center for Economic Research.
    8. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-867, May.
    9. Blume, Andreas, 1996. "Neighborhood Stability in Sender-Receiver Games," Games and Economic Behavior, Elsevier, vol. 13(1), pages 2-25, March.
    10. Farrell Joseph, 1993. "Meaning and Credibility in Cheap-Talk Games," Games and Economic Behavior, Elsevier, vol. 5(4), pages 514-531, October.
    11. Austen-Smith, David & Banks, Jeffrey S., 2000. "Cheap Talk and Burned Money," Journal of Economic Theory, Elsevier, vol. 91(1), pages 1-16, March.
    12. repec:bla:joares:v:31:y:1993:i:1:p:92-112 is not listed on IDEAS
    13. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    14. Stein, Jeremy C, 1989. "Cheap Talk and the Fed: A Theory of Imprecise Policy Announcements," American Economic Review, American Economic Association, vol. 79(1), pages 32-42, March.
    15. repec:bla:joares:v:32:y:1994:i:2:p:224-240 is not listed on IDEAS
    16. Noldeke, G. & Samuelson, L., 1992. "The Evolutionary Foundations of Backward and Forward Induction," Working papers 9218, Wisconsin Madison - Social Systems.
    17. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    18. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
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    Cited by:

    1. Blume, Andreas & DeJong, Douglas V. & Kim, Yong-Gwan & Sprinkle, Geoffrey B., 2001. "Evolution of Communication with Partial Common Interest," Games and Economic Behavior, Elsevier, vol. 37(1), pages 79-120, October.

    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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