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Strong Forward Induction in Monotonic Multi-Sender Signaling Games

Author

Listed:
  • Peter Vida
  • Takakazu Honryo
  • Helmuts Azacis

    (Université de Cergy-Pontoise, THEMA)

Abstract

We introduce a new solution concept called strong forward induction which is implied by strategic stability in generic finite multi-sender signaling games (Proposition 1) and can be easily extended to and applied in arbitrary extensive form games with perfect recall. We apply this notion to infinite monotonic 10 signaling games and show that a unique pure strong forward induction equilibrium exists and its outcome is necessarily non-distorted (Theorem 1). Finally, we show that in this class of games the non-distorted equilibrium outcomes are limits of stable outcomes of finite games (Proposition 2).

Suggested Citation

  • Peter Vida & Takakazu Honryo & Helmuts Azacis, 2022. "Strong Forward Induction in Monotonic Multi-Sender Signaling Games," THEMA Working Papers 2022-08, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2022-08
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    References listed on IDEAS

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    1. Christian Schultz, 1996. "Polarization and Inefficient Policies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(2), pages 331-344.
    2. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    3. Kyle Bagwell & Garey Ramey, 1991. "Oligopoly Limit Pricing," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 155-172, Summer.
    4. Blume, Lawrence E & Zame, William R, 1994. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Econometrica, Econometric Society, vol. 62(4), pages 783-794, July.
    5. Zhang, Qiaoxi, 2020. "Vagueness in multidimensional proposals," Games and Economic Behavior, Elsevier, vol. 121(C), pages 307-328.
    6. Schultz, Christian, 1999. "Limit pricing when incumbents have conflicting interests," International Journal of Industrial Organization, Elsevier, vol. 17(6), pages 801-825, August.
    7. Barney Hartman‐Glaser & Benjamin Hébert, 2020. "The Insurance Is the Lemon: Failing to Index Contracts," Journal of Finance, American Finance Association, vol. 75(1), pages 463-506, February.
    8. Vida, Péter & Honryo, Takakazu, 2021. "Strategic stability of equilibria in multi-sender signaling games," Games and Economic Behavior, Elsevier, vol. 127(C), pages 102-112.
    9. Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-1443, November.
    10. 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.
    11. Cho, In-Koo & Sobel, Joel, 1990. "Strategic stability and uniqueness in signaling games," Journal of Economic Theory, Elsevier, vol. 50(2), pages 381-413, April.
    12. Banks, Jeffrey S & Sobel, Joel, 1987. "Equilibrium Selection in Signaling Games," Econometrica, Econometric Society, vol. 55(3), pages 647-661, May.
    13. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    14. Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 87(3), pages 355-374.
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    More about this item

    Keywords

    multi-sender signaling; forward induction; strategic stability; monotonic games;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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