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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.

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

Volume (Year): 75 (2012)
Issue (Month): 2 ()
Pages: 510-517

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Handle: RePEc:eee:gamebe:v:75:y:2012:i:2:p:510-517
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  1. Andreas Blume & Oliver Board, 2009. "Intentional Vagueness," Working Papers 381, University of Pittsburgh, Department of Economics, revised May 2009.
  2. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-58, March.
  3. R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
  4. 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.
  5. Dirk Bergemann & Stephen Morris, 2011. "Correlated Equilibrium in Games with Incomplete Information," Levine's Working Paper Archive 786969000000000265, David K. Levine.
  6. 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).
  7. Goltsman, Maria & Hörner, Johannes & Pavlov, Gregory & Squintani, Francesco, 2009. "Mediation, arbitration and negotiation," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1397-1420, July.
  8. 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.
  9. Forges, Francoise, 1990. "Equilibria with Communication in a Job Market Example," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 375-98, May.
  10. Andreas Blume & Oliver Board & Kohei Kawamura, 2007. "Noisy Talk," ESE Discussion Papers 167, Edinburgh School of Economics, University of Edinburgh.
  11. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-51, November.
  12. F. Forges, 2010. "An Approach to Communication Equilibrium," Levine's Working Paper Archive 516, David K. Levine.
  13. Ivanov, Maxim, 2010. "Communication via a strategic mediator," Journal of Economic Theory, Elsevier, vol. 145(2), pages 869-884, March.
  14. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-64, November.
  15. Cotter, Kevin D., 1991. "Correlated equilibrium in games with type-dependent strategies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 48-68, June.
  16. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
  17. Forges, Francoise, 1988. "Can sunspots replace a mediator?," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 347-368, September.
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