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Sequential Equilibria and Cheap Talk in Infinite Signaling Games

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Author Info
Karl Iorio
Alejandro M. Manuelli
Abstract

This paper shows the existence of sequential and weak-best-response equilibria for cheap-talk extensions of signaling games for a class of signaling games called communication-impervious. An example shows there are well-behaved infinite signaling games with no sequential equilibria. The assumption that talk is cheap seems reasonable in many economic contexts and yields a very straightforward solution to the existence problem in infinite signaling games. The cheap-talk assumption opens the possibility of extending the methods of this paper to prove the existence of equilibrium in more-general extensive-form games with infinite action and information sets.

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/915.pdf
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 915.

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Date of creation: Dec 1990
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Handle: RePEc:nwu:cmsems:915

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  1. 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. [Downloadable!] (restricted)
  2. Hellwig, Martin & Leininger, Wolfgang, 1987. "On the existence of subgame-perfect equilibrium in infinite-action games of perfect information," Journal of Economic Theory, Elsevier, vol. 43(1), pages 55-75, October. [Downloadable!] (restricted)
  3. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-85, November. [Downloadable!] (restricted)
  4. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March. [Downloadable!] (restricted)
  5. Banks, Jeffrey S & Sobel, Joel, 1987. "Equilibrium Selection in Signaling Games," Econometrica, Econometric Society, vol. 55(3), pages 647-61, May. [Downloadable!] (restricted)
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  6. Sudipto Bhattacharya, 1979. "Imperfect Information, Dividend Policy, and "The Bird in the Hand" Fallacy," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 259-270, Spring. [Downloadable!] (restricted)
  7. Simon, Leo K & Stinchcombe, Maxwell B, 1989. "Extensive Form Games in Continuous Time: Pure Strategies," Econometrica, Econometric Society, vol. 57(5), pages 1171-1214, September. [Downloadable!] (restricted)
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  8. Joseph Farrell and Robert Gibbons., 1986. "Cheap Talk in Bargaining Games," Economics Working Papers 8620, University of California at Berkeley.
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  9. Cho, In-Koo & Kreps, David M, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, MIT Press, vol. 102(2), pages 179-221, May. [Downloadable!] (restricted)
  10. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-51, November. [Downloadable!] (restricted)
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