Extended Conversations in Sender-Receiver Games
Aumann and Hart (Econometrica, Nov. 2003) have shown that in games of one-sided incomplete information, the set of equilibrium outcomes achievable can be expanded considerably if the players are allowed to communicate without exogenous time limits and completely characterise the equilibria from such communication. Their research provokes (at least) four questions. (i) Is it true that the set of equilibrium payoffs stabilises (i.e. remains unchanged) if there are sufficiently many rounds of communication? (ii) Is the set of equilibria from communication which is unbounded but finite with probability one is the same as equilibria from communication which is just unbounded? (iii) Are any of these sets of equilibria "simple" and if so, is there an algorithm to compute them? (iv) Does unbounded communication (of order type w) exhaust all possibilities so that further communication is irrelevant? We show that in the context of finite Sender-Receiver games, the answer to all four is yes if the game satisfies a certain geometric condition. We then relate this condition to some geometric facts about the notion of bi-convexity and argue that if any of the questions has a negative answer then all three of the questions are likely to have a negative answer.
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- Robert J. Aumann & Sergiu Hart, 2003.
"Long Cheap Talk,"
Econometric Society, vol. 71(6), pages 1619-1660, November.
- Ehud Lehrer & Sylvain Sorin, 1994.
"One-Shot Public Mediated Talk,"
1108, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- repec:cor:louvrp:-636 is not listed on IDEAS
- Rubinstein, Ariel, 1991. "Comments on the Interpretation of Game Theory," Econometrica, Econometric Society, vol. 59(4), pages 909-24, July.
- Myerson, Roger B, 1986.
"Multistage Games with Communication,"
Econometric Society, vol. 54(2), pages 323-58, March.
- Blume, A. & Sobel, J., 1991.
"Communication-Proof Equilibria in Cheap-Talk Games,"
91-27, University of Iowa, Department of Economics.
- Blume Andreas & Sobel Joel, 1995. "Communication-Proof Equilibria in Cheap-Talk Games," Journal of Economic Theory, Elsevier, vol. 65(2), pages 359-382, April.
- Bester, Helmut & Strausz, Roland, 2001. "Contracting with Imperfect Commitment and the Revelation Principle: The Single Agent Case," Econometrica, Econometric Society, vol. 69(4), pages 1077-98, July.
- Lawrence E. Blume & William R. Zame, 1993.
"The Algebraic Geometry of Perfect and Sequential Equilibrium,"
Game Theory and Information
- Blume, Lawrence E & Zame, William R, 1994. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Econometrica, Econometric Society, vol. 62(4), pages 783-94, July.
- Amparo Urbano & Jose E. Vila, 2002. "Computational Complexity and Communication: Coordination in Two-Player Games," Econometrica, Econometric Society, vol. 70(5), pages 1893-1927, September.
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