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Signaling under double-crossing preferences: The case of discrete types

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  • Chen, Chia-Hui
  • Ishida, Junichiro
  • Suen, Wing

Abstract

The class of double-crossing preferences, where signaling is cheaper for higher types than for lower types at low signaling levels and the opposite is true at high signaling levels, underlines the phenomenon of countersignaling, with intermediate types choosing higher actions than higher and lower types. We provide an algorithm to systematically construct an equilibrium and thus establish equilibrium existence for this general class of preferences with an arbitrary discrete-type distribution. Our analysis sheds light on the connection between discrete-type and continuous-type models and clarifies robust predictions of signaling under double-crossing preferences.

Suggested Citation

  • Chen, Chia-Hui & Ishida, Junichiro & Suen, Wing, 2024. "Signaling under double-crossing preferences: The case of discrete types," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    • Handle: RePEc:eee:mateco:v:114:y:2024:i:c:s030440682400106x
    DOI: 10.1016/j.jmateco.2024.103046
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    References listed on IDEAS

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    1. Hallman, Alice & Spiro, Daniel, 2023. "A theory of hypocrisy," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 401-410.
    2. Chia-Hui Chen & Junichiro Ishida & Wing Suen, 2021. "Reputation Concerns in Risky Experimentation [Reputation and Survival: Learning in a Dynamic Signalling Model]," Journal of the European Economic Association, European Economic Association, vol. 19(4), pages 1981-2021.
    3. Dobrin R. Kolev & Thomas J. Prusa, 2021. "Dumping and double crossing: The (in)effectiveness of cost-based trade policy under incomplete information," World Scientific Book Chapters, in: Thomas J Prusa (ed.), Economic Effects of Antidumping, chapter 7, pages 129-152, World Scientific Publishing Co. Pte. Ltd..
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    5. Nick Feltovich & Richmond Harbaugh & Ted To, 2002. "Too Cool for School? Signalling and Countersignalling," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 630-649, Winter.
    6. 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.
    7. Chen, Chia-Hui & Ishida, Junichiro & Suen, Wing, 2024. "Signaling under double-crossing preferences: The case of discrete types," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    8. Alex Frankel & Navin Kartik, 2019. "Muddled Information," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1739-1776.
    9. Aloisio Araujo & Daniel Gottlieb & Humberto Moreira, 2007. "A model of mixed signals with applications to countersignalling," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 1020-1043, December.
    10. Arianna Degan & Ming Li, 2021. "Persuasion with costly precision," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 869-908, October.
    11. Daley, Brendan & Green, Brett, 2014. "Market signaling with grades," Journal of Economic Theory, Elsevier, vol. 151(C), pages 114-145.
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    Cited by:

    1. Ishida, Junichiro & Suen, Wing, 2024. "Pecuniary emulation and invidious distinction: Signaling under behavioral diversity," Games and Economic Behavior, Elsevier, vol. 147(C), pages 449-459.
    2. Figueroa, Nicolás & Guadalupi, Carla, 2023. "Signaling through tests," The Quarterly Review of Economics and Finance, Elsevier, vol. 92(C), pages 25-34.
    3. Hallman, Alice & Spiro, Daniel, 2023. "A theory of hypocrisy," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 401-410.
    4. Jeahan Jung & Jeong Yoo Kim, 2024. "Cheap Talk with Transparent and Monotone Motives from a Seller to an Informed Buyer," Games, MDPI, vol. 15(3), pages 1-20, May.
    5. Chen, Chia-Hui & Ishida, Junichiro & Suen, Wing, 2024. "Signaling under double-crossing preferences: The case of discrete types," Journal of Mathematical Economics, Elsevier, vol. 114(C).

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