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Signaling under Double-Crossing Preferences: The Case of Discrete Types

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  • Chia-Hui Chen
  • Junichiro Ishida
  • Wing Suen

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. We show that under the D1 refinement, the equilibrium signaling action must be quasi-concave in type and generally exhibits pooling, with intermediate types choosing higher actions than higher and lower types. We provide an algorithm to systematically construct an equilibrium and use this algorithm to establish its existence for this general class of preferences with an arbitrary discrete-type distribution.

Suggested Citation

  • Chia-Hui Chen & Junichiro Ishida & Wing Suen, 2022. "Signaling under Double-Crossing Preferences: The Case of Discrete Types," ISER Discussion Paper 1166, Institute of Social and Economic Research, Osaka University.
    • Handle: RePEc:dpr:wpaper:1166
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    File URL: https://www.iser.osaka-u.ac.jp/library/dp/2022/DP1166.pdf
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    References listed on IDEAS

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    1. 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.
    2. Catherine Bobtcheff & Raphaël Levy, 2017. "More Haste, Less Speed? Signaling through Investment Timing," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 148-186, August.
    3. 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.
    4. 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..
    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. 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. Hallman, Alice & Spiro, Daniel, 2023. "A theory of hypocrisy," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 401-410.

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