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Valuable Cheap Talk and Equilibrium Selection

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  • Julian Jamison

    (Department of Economics, University of Exeter Business School, Rennes Drive, Exeter EX4 4PU, UK)

Abstract

Intuitively, we expect that players who are allowed to engage in costless communication before playing a game would be foolish to agree on an inefficient outcome amongst the set of equilibria. At the same time, however, such preplay communication has been suggested as a rationale for expecting Nash equilibria in general. This paper presents a plausible formal model of cheap talk that distinguishes and resolves these possibilities. Players are assumed to have an unlimited opportunity to send messages before playing an arbitrary game. Using an extension of fictitious play beliefs, minimal assumptions are made concerning which messages about future actions are credible and hence contribute to final beliefs. In this environment, it is shown that meaningful communication among players leads to a Nash equilibrium (NE) of the action game. Within the set of NE, efficiency then turns out to be a consequence of imposing optimality on the cheap talk portion of the extended game. This finding contrasts with previous “babbling” results.

Suggested Citation

  • Julian Jamison, 2020. "Valuable Cheap Talk and Equilibrium Selection," Games, MDPI, vol. 11(3), pages 1-14, August.
    • Handle: RePEc:gam:jgames:v:11:y:2020:i:3:p:34-:d:401520
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    References listed on IDEAS

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    1. Bergin James & MacLeod W. Bentley, 1993. "Efficiency and Renegotiation in Repeated Games," Journal of Economic Theory, Elsevier, vol. 61(1), pages 42-73, October.
    2. Blume Andreas & Sobel Joel, 1995. "Communication-Proof Equilibria in Cheap-Talk Games," Journal of Economic Theory, Elsevier, vol. 65(2), pages 359-382, April.
    3. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    4. Matsui, Akihiko, 1991. "Cheap-talk and cooperation in a society," Journal of Economic Theory, Elsevier, vol. 54(2), pages 245-258, August.
    5. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-1364, November.
    6. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-1045, September.
    7. Farrell Joseph, 1993. "Meaning and Credibility in Cheap-Talk Games," Games and Economic Behavior, Elsevier, vol. 5(4), pages 514-531, October.
    8. Crawford, Vincent P & Haller, Hans, 1990. "Learning How to Cooperate: Optimal Play in Repeated Coordination Games," Econometrica, Econometric Society, vol. 58(3), pages 571-595, May.
    9. Farrell, Joseph & Gibbons, Robert, 1989. "Cheap talk can matter in bargaining," Journal of Economic Theory, Elsevier, vol. 48(1), pages 221-237, June.
    10. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    11. Gérard P. Cachon & Colin F. Camerer, 1996. "Loss-Avoidance and Forward Induction in Experimental Coordination Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(1), pages 165-194.
    12. Jordi Brandts & David J. Cooper, 2007. "It's What You Say, Not What You Pay: An Experimental Study of Manager–Employee Relationships in Overcoming Coordination Failure," Journal of the European Economic Association, MIT Press, vol. 5(6), pages 1223-1268, December.
    13. Rabin Matthew, 1994. "A Model of Pre-game Communication," Journal of Economic Theory, Elsevier, vol. 63(2), pages 370-391, August.
    14. Charness, Gary, 2000. "Self-Serving Cheap Talk: A Test Of Aumann's Conjecture," Games and Economic Behavior, Elsevier, vol. 33(2), pages 177-194, November.
    15. Sandroni, Alvaro, 2000. "Reciprocity and Cooperation in Repeated Coordination Games: The Principled-Player Approach," Games and Economic Behavior, Elsevier, vol. 32(2), pages 157-182, August.
    16. Béatrice Boulu-Reshef & Charles Holt & Matthew Rodgers & Melissa Thomas-Hunt, 2020. "The impact of leader communication on free-riding: An incentivized experiment with empowering and directive styles," Post-Print hal-03533244, HAL.
    17. Cooper, Russell & De Jong, Douglas V. & Forsythe, Robert & Ross, Thomas W., 1992. "Forward induction in coordination games," Economics Letters, Elsevier, vol. 40(2), pages 167-172, October.
    18. Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June.
    19. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
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    Cited by:

    1. Russell Golman, 2020. "New Directions in Behavioral Game Theory: Introduction to the Special Issue," Games, MDPI, vol. 11(4), pages 1-3, November.

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