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Ambiguity, optimism, and pessimism in adverse selection models

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  • Giraud, Raphaël
  • Thomas, Lionel

Abstract

We investigate the effect of ambiguity and ambiguity attitude on the shape and properties of the optimal contract in an adverse selection model with a continuum of types, using the NEO-additive model. We show that it necessarily features efficiency and a jump at the top and pooling at the bottom of the distribution. Conditional on the degree of ambiguity, the pooling section may be supplemented by a separating section. As a result, ambiguity adversely affects the principal's ability to solve the adverse selection problem and therefore the least efficient types benefit from ambiguity with respect to risk. Conversely, ambiguity is detrimental to the most efficient types.

Suggested Citation

  • Giraud, Raphaël & Thomas, Lionel, 2017. "Ambiguity, optimism, and pessimism in adverse selection models," Journal of Economic Theory, Elsevier, vol. 171(C), pages 64-100.
  • Handle: RePEc:eee:jetheo:v:171:y:2017:i:c:p:64-100
    DOI: 10.1016/j.jet.2017.06.004
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    as
    1. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
    2. Marie-Louise Vierø, 2012. "Contracting in Vague Environments," American Economic Journal: Microeconomics, American Economic Association, vol. 4(2), pages 104-130, May.
    3. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    4. Dow, James & Werlang, Sergio Ribeiro da Costa, 1992. "Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio," Econometrica, Econometric Society, vol. 60(1), pages 197-204, January.
    5. repec:oup:restud:v:84:y::i:1:p:237-276. is not listed on IDEAS
    6. Jürgen Eichberger & Simon Grant & Jean-Philippe Lefort, 2012. "Generalized neo-additive capacities and updating," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(3), pages 237-257, September.
    7. Raphael Amit, 1986. "Petroleum Reservoir Exploitation: Switching from Primary to Secondary Recovery," Operations Research, INFORMS, vol. 34(4), pages 534-549, August.
    8. Dirk Bergemann & Karl Schlag, 2012. "Robust Monopoly Pricing," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 13, pages 417-441, World Scientific Publishing Co. Pte. Ltd..
    9. Gérard Mondello, 2012. "Ambiguity, Agency Relationships and Adverse Selection," Post-Print halshs-00929978, HAL.
    10. Subir Bose & Ludovic Renou, 2014. "Mechanism Design With Ambiguous Communication Devices," Econometrica, Econometric Society, vol. 82, pages 1853-1872, September.
    11. Rigotti, L., 1998. "Imprecise Beliefs in a Principal Agent Model," Other publications TiSEM 5da27fed-fba0-49a9-b3de-d, Tilburg University, School of Economics and Management.
    12. Karni, Edi, 2009. "A reformulation of the maxmin expected utility model with application to agency theory," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 97-112, January.
    13. Lewis Tracy R. & Sappington David E. M., 1993. "Ignorance in Agency Problems," Journal of Economic Theory, Elsevier, vol. 61(1), pages 169-183, October.
    14. Bodoh-Creed, Aaron L., 2012. "Ambiguous beliefs and mechanism design," Games and Economic Behavior, Elsevier, vol. 75(2), pages 518-537.
    15. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    16. Martin F. Hellwig, 2010. "Incentive Problems With Unidimensional Hidden Characteristics: A Unified Approach," Econometrica, Econometric Society, vol. 78(4), pages 1201-1237, July.
    17. repec:dau:papers:123456789/7332 is not listed on IDEAS
    18. Lopomo, Giuseppe & Rigotti, Luca & Shannon, Chris, 2011. "Knightian uncertainty and moral hazard," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1148-1172, May.
    19. Alfredo Di Tillio & Nenad Kos & Matthias Messner, 2012. "The Design of Ambiguous Mechanisms," Working Papers 446, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    20. Tomiyama, Ken, 1985. "Two-stage optimal control problems and optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 9(3), pages 317-337, November.
    21. Philipp Weinschenk, 2010. "Moral Hazard and Ambiguity," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2010_39, Max Planck Institute for Research on Collective Goods.
    22. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
    23. David Sappington, 1996. "Designing Incentive Regulation for the Telecommunications Industry," Books, American Enterprise Institute, number 52863, September.
    24. Mukerji, Sujoy, 1998. "Ambiguity Aversion and Incompleteness of Contractual Form," American Economic Review, American Economic Association, vol. 88(5), pages 1207-1231, December.
    25. Makris, Miltiadis, 2001. "Necessary conditions for infinite-horizon discounted two-stage optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1935-1950, December.
    26. Eichberger, Jürgen & Grant, Simon & Kelsey, David, 2010. "Comparing three ways to update Choquet beliefs," Economics Letters, Elsevier, vol. 107(2), pages 91-94, May.
    27. repec:hal:pseose:halshs-00643580 is not listed on IDEAS
    28. Wolitzky, Alexander, 2016. "Mechanism design with maxmin agents: theory and an application to bilateral trade," Theoretical Economics, Econometric Society, vol. 11(3), September.
    29. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
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    Cited by:

    1. Li, Wenhui & Wilde, Christian, 2020. "Belief formation and belief updating under ambiguity: Evidence from experiments," SAFE Working Paper Series 251, Leibniz Institute for Financial Research SAFE, revised 2020.
    2. Daiki Kishishita & Susumu Sato, 2021. "Optimal risk regulation of monopolists with subjective risk assessment," Journal of Regulatory Economics, Springer, vol. 59(3), pages 251-279, June.
    3. Joaquín Gómez Miñambres & Mark Schneider, 2019. "Carrots and Sticks: Optimal Contracting with Skewness Preference and Ambiguity Aversion," Working Papers 19-02, Chapman University, Economic Science Institute.
    4. Gao, Yongling & Driouchi, Tarik & Bennett, David J., 2018. "Ambiguity aversion in buyer-seller relationships: A contingent-claims and social network explanation," International Journal of Production Economics, Elsevier, vol. 200(C), pages 50-67.
    5. Zheng, Shiyuan & Wang, Kun & Chan, Felix T.S. & Fu, Xiaowen & Li, Zhi-Chun, 2022. "Subsidy on transport adaptation investment-modeling decisions under incomplete information and ambiguity," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 103-129.

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    More about this item

    Keywords

    Adverse selection; Ambiguity; Ambiguity aversion; NEO-additive model; Non-expected utility models; Behavioral economics;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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