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Strategic stability of equilibria in multi-sender signaling games

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  • Vida, Péter
  • Honryo, Takakazu

Abstract

The concept of unprejudiced beliefs equilibrium is simple: out-of-equilibrium beliefs should be consistent with the principle that multiple deviations are infinitely less likely than single deviations. Our questions are: does there always exist such an equilibrium and what can be done if there are multiple such equilibria?

Suggested Citation

  • 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.
  • Handle: RePEc:eee:gamebe:v:127:y:2021:i:c:p:102-112
    DOI: 10.1016/j.geb.2021.02.006
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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. Kyle Bagwell & Garey Ramey, 1991. "Oligopoly Limit Pricing," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 155-172, Summer.
    3. Zhang, Qiaoxi, 2020. "Vagueness in multidimensional proposals," Games and Economic Behavior, Elsevier, vol. 121(C), pages 307-328.
    4. Schultz, Christian, 1999. "Limit pricing when incumbents have conflicting interests," International Journal of Industrial Organization, Elsevier, vol. 17(6), pages 801-825, August.
    5. 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.
    6. Jean-François Mertens, 1989. "Stable Equilibria---A Reformulation," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 575-625, November.
    7. MERTENS, Jean-François, 1989. "Stable equilibria - a reformulation. Part I. Definition and basic properties," LIDAM Reprints CORE 866, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Helmut Bester & Juri Demuth, 2015. "Signalling Rivalry and Quality Uncertainty in a Duopoly," Journal of Industry, Competition and Trade, Springer, vol. 15(2), pages 135-154, June.
    9. Hillas, John, 1990. "On the Definition of the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 58(6), pages 1365-1390, 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. Paul Milgrom & Joshua Mollner, 2018. "Equilibrium Selection in Auctions and High Stakes Games," Econometrica, Econometric Society, vol. 86(1), pages 219-261, January.
    14. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    15. Carlos Pimienta & Jianfei Shen, 2014. "On the equivalence between (quasi-)perfect and sequential equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 395-402, May.
    16. , & , B., 2006. "Sufficient conditions for stable equilibria," Theoretical Economics, Econometric Society, vol. 1(2), pages 167-206, June.
    17. Claude Fluet, 2009. "Accuracy Versus Falsification Costs: The Optimal Amount of Evidence under Different Procedures," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 25(1), pages 134-156, May.
    18. Jean-François Mertens, 1991. "Stable Equilibria—A Reformulation. Part II. Discussion of the Definition, and Further Results," Mathematics of Operations Research, INFORMS, vol. 16(4), pages 694-753, November.
    19. Honryo, Takakazu, 2018. "Risky shifts as multi-sender signaling," Journal of Economic Theory, Elsevier, vol. 174(C), pages 273-287.
    20. 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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    Citations

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    Cited by:

    1. Vaccari, Federico, 2023. "Competition in costly talk," Journal of Economic Theory, Elsevier, vol. 213(C).
    2. Vaccari, Federico, 2021. "Competition in Signaling," MPRA Paper 106071, University Library of Munich, Germany.
    3. 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.
    4. Fuhai Hong & Yu Pang, 2024. "Mitigation and adaptation: an informational perspective," Journal of Economics, Springer, vol. 141(1), pages 57-92, January.
    5. 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.
    6. Minghua Chen & Konstantinos Serfes & Eleftherios Zacharias, 2023. "Prices as signals of product quality in a duopoly," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 1-31, March.
    7. Andreas Grunewald & Emanuel Hansen & Gert Pönitzsch, 2020. "Political selection and the optimal concentration of political power," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 273-311, July.

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    More about this item

    Keywords

    Multi-sender signaling; Unprejudiced beliefs; Strategic stability; Forward induction;
    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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