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Communication, Risk and Efficiency in Games

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Author Info
Andreas Blume (Univ. of Iowa)
Abstract

This paper studies the evolution of effective pre-play communication in games where a single communication round precedes a simultaneous-move, complete-information game. The paper identifies stable outcomes under population learning dynamics in which individuals with some probability replace their current strategy with a best reply against beliefs supported on a sample of currently used strategies. It is shown that under these conditions the effectiveness of one-sided pre-play communication is inversely related to risk in the underlying game, and to the size of the message space. Multi-sided communication can be shown to be more effective than one-sided communication; i.e., risk and the size of the message space play no role. This requires that all players communicate, have the same preferred equilibrium and messages have some small a priori information content that identifies message profiles that signal agreement on a strict equilibrium in the underlying game.

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Paper provided by EconWPA in its series Game Theory and Information with number 9604001.

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Length: 39 pages
Date of creation: 18 Apr 1996
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Handle: RePEc:wpa:wuwpga:9604001

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Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D8 - Microeconomics - - Information, Knowledge, and Uncertainty

References listed on IDEAS
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  1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384.
  2. Cooper, Russell, et al, 1992. "Communication in Coordination Games," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 739-71, May. [Downloadable!] (restricted)
  3. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September. [Downloadable!] (restricted)
  4. Farrell, Joseph & Rabin, Matthew, 1996. "Cheap Talk," Journal of Economic Perspectives, American Economic Association, vol. 10(3), pages 103-18, Summer. [Downloadable!] (restricted)
  5. Warneryd, Karl, 1991. "Evolutionary stability in unanimity games with cheap talk," Economics Letters, Elsevier, vol. 36(4), pages 375-378, August. [Downloadable!] (restricted)
  6. Akihiko Matsui, 1989. "Cheap Talk and Cooperation in the Society," Discussion Papers 848, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  7. Swinkels, Jeroen M., 1992. "Evolutionary stability with equilibrium entrants," Journal of Economic Theory, Elsevier, vol. 57(2), pages 306-332, August. [Downloadable!] (restricted)
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  8. Carlsson, H. & Van Damme, E., 1990. "Global Games And Equilibrium Selection," Papers 9052, Tilburg - Center for Economic Research.
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  9. Basu, K. & Weibull, J.W., 1990. "Strategy Subsets Closed Under Rational Behaviour," Papers 479, Stockholm - International Economic Studies.
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  10. Blume Andreas & Kim Yong-Gwan & Sobel Joel, 1993. "Evolutionary Stability in Games of Communication," Games and Economic Behavior, Elsevier, vol. 5(4), pages 547-575, October. [Downloadable!] (restricted)
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  11. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-67, May. [Downloadable!] (restricted)
  12. COOPER, R. & DEJONG, D.V. & FORSYTHE, R. & Tom Ross, 1989. "Communication In Coordination Games," Carleton Industrial Organization Research Unit (CIORU) 89-07, Carleton University, Department of Economics.
  13. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January. [Downloadable!] (restricted)
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  14. Ehud Kalai & Dov Samet, 1982. "Persistent Equilibria in Strategic Games," Discussion Papers 515, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  15. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-99, November. [Downloadable!] (restricted)
  16. Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November. [Downloadable!] (restricted)
  17. Bhaskar, V., 1998. "Noisy Communication and the Evolution of Cooperation," Journal of Economic Theory, Elsevier, vol. 82(1), pages 110-131, September. [Downloadable!] (restricted)
  18. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
  19. Farrell, Joseph, 1988. "Communication, coordination and Nash equilibrium," Economics Letters, Elsevier, vol. 27(3), pages 209-214. [Downloadable!] (restricted)
  20. Hurkens, S., 1993. "Multi-Sided Pre-Play Communication By Burning Money," Papers 9319, Tilburg - Center for Economic Research.
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