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Equilibrium selection through forward induction in cheap talk games

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  • Antić, Nemanja
  • Persico, Nicola

Abstract

This paper provides a refinement that uniquely selects the ex-ante Pareto dominant equilibrium in a cheap talk game, provided one exists. The refinement works by embedding any cheap talk game into a class of two-stage games where: in stage 1 sender and receiver can, at a cost, alter their preferences; and in stage 2 the cheap talk game is played. For such games, we show that a forward induction logic can be invoked to select the ex-ante Pareto-dominant equilibrium in the second stage. Cheap talk games with exogenously fixed preferences are then treated as limiting cases of this larger class of games.

Suggested Citation

  • Antić, Nemanja & Persico, Nicola, 2023. "Equilibrium selection through forward induction in cheap talk games," Games and Economic Behavior, Elsevier, vol. 138(C), pages 299-310.
  • Handle: RePEc:eee:gamebe:v:138:y:2023:i:c:p:299-310
    DOI: 10.1016/j.geb.2023.01.006
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    1. Rabin, Matthew, 1990. "Communication between rational agents," Journal of Economic Theory, Elsevier, vol. 51(1), pages 144-170, June.
    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. Nemanja Antić & Nicola Persico, 2020. "Cheap Talk With Endogenous Conflict of Interest," Econometrica, Econometric Society, vol. 88(6), pages 2663-2695, November.
    4. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    5. Farrell Joseph, 1993. "Meaning and Credibility in Cheap-Talk Games," Games and Economic Behavior, Elsevier, vol. 5(4), pages 514-531, October.
    6. Ben-Porath, Elchanan & Dekel, Eddie, 1992. "Signaling future actions and the potential for sacrifice," Journal of Economic Theory, Elsevier, vol. 57(1), pages 36-51.
    7. Li, Zhuozheng & Rantakari, Heikki & Yang, Huanxing, 2016. "Competitive cheap talk," Games and Economic Behavior, Elsevier, vol. 96(C), pages 65-89.
    8. Matthews, Steven A. & Okuno-Fujiwara, Masahiro & Postlewaite, Andrew, 1991. "Refining cheap-talk equilibria," Journal of Economic Theory, Elsevier, vol. 55(2), pages 247-273, December.
    9. Ying Chen & Navin Kartik & Joel Sobel, 2008. "Selecting Cheap-Talk Equilibria," Econometrica, Econometric Society, vol. 76(1), pages 117-136, January.
    10. Françoise Forges, 1990. "Equilibria with Communication in a Job Market Example," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(2), pages 375-398.
    11. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    12. Inga Deimen & Dezső Szalay, 2019. "Delegated Expertise, Authority, and Communication," American Economic Review, American Economic Association, vol. 109(4), pages 1349-1374, April.
    13. Austen-Smith, David, 1994. "Strategic Transmission of Costly Information," Econometrica, Econometric Society, vol. 62(4), pages 955-963, July.
    14. van Damme, Eric, 1989. "Stable equilibria and forward induction," Journal of Economic Theory, Elsevier, vol. 48(2), pages 476-496, August.
    15. Rossella Argenziano & Sergei Severinov & Francesco Squintani, 2016. "Strategic Information Acquisition and Transmission," American Economic Journal: Microeconomics, American Economic Association, vol. 8(3), pages 119-155, August.
    16. Olszewski, Wojciech, 2006. "Rich language and refinements of cheap-talk equilibria," Journal of Economic Theory, Elsevier, vol. 128(1), pages 164-186, May.
    17. Zapater, Inigo, 1997. "Credible Proposals in Communication Games," Journal of Economic Theory, Elsevier, vol. 72(1), pages 173-197, January.
    18. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    19. Archishman Chakraborty & Bilge Yılmaz, 2017. "Authority, Consensus, and Governance," Review of Financial Studies, Society for Financial Studies, vol. 30(12), pages 4267-4316.
    20. Krishna, Vijay & Morgan, John, 2004. "The art of conversation: eliciting information from experts through multi-stage communication," Journal of Economic Theory, Elsevier, vol. 117(2), pages 147-179, August.
    21. Inga Deimen & Dezsö Szalay, 2019. "Information and Communication in Organizations," AEA Papers and Proceedings, American Economic Association, vol. 109, pages 545-549, May.
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