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A class of strategy-correlated equilibria in sender–receiver games


  • Blume, Andreas


This paper shows that the efficiency bound for communication equilibria identified by Goltsman et al. (2009) in the leading example of the Crawford–Sobel model can be obtained with strategy-correlated equilibria, thus preserving privacy vis-à-vis the mediator. More generally, all equilibrium outcomes of the ϵ-noise model of Blume et al. (2007), including outcomes with an uncountable infinity of equilibrium actions, can be obtained via strategy-correlated equilibria of the noise-free game. The occasional mismatch between the encoding and decoding rules used by sender and receiver in a strategy-correlated equilibrium can be interpreted as uncertainty about language use.

Suggested Citation

  • Blume, Andreas, 2012. "A class of strategy-correlated equilibria in sender–receiver games," Games and Economic Behavior, Elsevier, vol. 75(2), pages 510-517.
  • Handle: RePEc:eee:gamebe:v:75:y:2012:i:2:p:510-517
    DOI: 10.1016/j.geb.2012.03.008

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    References listed on IDEAS

    1. Cotter, Kevin D., 1991. "Correlated equilibrium in games with type-dependent strategies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 48-68, June.
    2. Dirk Bergemann & Stephen Morris, 2011. "Correlated Equilibrium in Games with Incomplete Information," Cowles Foundation Discussion Papers 1822, Cowles Foundation for Research in Economics, Yale University.
    3. Board, Oliver J. & Blume, Andreas & Kawamura, Kohei, 2007. "Noisy talk," Theoretical Economics, Econometric Society, vol. 2(4), December.
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    5. Françoise Forges, 1990. "Equilibria with Communication in a Job Market Example," The Quarterly Journal of Economics, Oxford University Press, vol. 105(2), pages 375-398.
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    7. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-1364, November.
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      • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
    10. Forges, Francoise, 1988. "Can sunspots replace a mediator?," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 347-368, September.
    11. FORGES , Françoise, 1993. "Five Legitimate Definitions of Correlated Equilibrium in Games with Incomplete Information," CORE Discussion Papers 1993009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    13. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    14. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    15. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    16. Ivanov, Maxim, 2010. "Communication via a strategic mediator," Journal of Economic Theory, Elsevier, vol. 145(2), pages 869-884, March.
    17. 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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    Cited by:

    1. Alonso, Ricardo & Rantakari, Heikki, 2014. "The art of brevity," LSE Research Online Documents on Economics 58681, London School of Economics and Political Science, LSE Library.

    More about this item


    Communication; Information transmission; Correlation; Language;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness


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