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Neutrally Stable Outcomes in Cheap Talk Coordination Games

  • Abhijit Banerjee
  • J�rgen W. Weibull

This paper examines equilibrium and stability in symmetric two- player cheap-talk games. In particular, we characterize the set of neutrally stable outcomes infinite cheap-talk 2 x 2 coordination games. This set is finite and does not depend on risk-dominance relations. As the number of messages goes to infinity, this set expands to a countable limit set that has exactly one cluster point, the Pareto efficient Nash equilibrium payoff. In contrast, the corresponding limit set of strictly perfect outcomes is shown to be dense in the interval spanned by the Nash equilibrium payoffs of the game. It is also shown that the limit set of neutrally stable outcomes coincides with the set of neutrally stable outcomes when the message set is (countably) infinite.

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Paper provided by ESRC Centre on Economics Learning and Social Evolution in its series ELSE working papers with number 012.

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Handle: RePEc:els:esrcls:012
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  1. KOHLBERG, Elon & MERTENS, Jean-François, . "On the strategic stability of equilibria," CORE Discussion Papers RP -716, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Warneryd, Karl, 1992. "Communication, correlation, and symmetry in bargaining," Economics Letters, Elsevier, vol. 39(3), pages 295-300, July.
  3. Blume, A. & Kim, Y.G. & Sobel, J., 1992. "Evolutionary Stability in Games of Communication," Working Papers 92-17, University of Iowa, Department of Economics.
  4. A. J. Robson, 2010. "Efficiency in Evolutionary Games: Darwin, Nash and the Secret Handshake," Levine's Working Paper Archive 540, David K. Levine.
  5. Warneryd Karl, 1993. "Cheap Talk, Coordination, and Evolutionary Stability," Games and Economic Behavior, Elsevier, vol. 5(4), pages 532-546, October.
  6. Bomze Immanuel M. & Weibull Jorgen W., 1995. "Does Neutral Stability Imply Lyapunov Stability?," Games and Economic Behavior, Elsevier, vol. 11(2), pages 173-192, November.
  7. Kandori Michihiro & Rob Rafael, 1995. "Evolution of Equilibria in the Long Run: A General Theory and Applications," Journal of Economic Theory, Elsevier, vol. 65(2), pages 383-414, April.
  8. Bhaskar, V., 1998. "Noisy Communication and the Evolution of Cooperation," Journal of Economic Theory, Elsevier, vol. 82(1), pages 110-131, September.
  9. K. Warneryd, 2010. "Evolutionary Stability in Unanimity Games with Cheap Talk," Levine's Working Paper Archive 543, David K. Levine.
  10. Sobel, Joel, 1993. "Evolutionary stability and efficiency," Economics Letters, Elsevier, vol. 42(2-3), pages 301-312.
  11. Binmore, Ken & Samuelson, Larry, 1997. "Muddling Through: Noisy Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 74(2), pages 235-265, June.
  12. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  13. Kim, Yong-Gwan & Sobel, Joel, 1995. "An Evolutionary Approach to Pre-play Communication," Econometrica, Econometric Society, vol. 63(5), pages 1181-93, September.
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