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Participation constraints in discontinuous adverse selection models

Author

Listed:
  • David Martimort

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Lars A. Stole

    (University of Chicago)

Abstract

We present a set of necessary and sufficient conditions for a class of optimal control problems with pure state constraints for which the objective function is linear in the state variable but the objective function is only required to be upper semicontinuous in the control variable. We apply those conditions to economic environments in contract theory where discontinuities in objectives prevail. Examples of applications include nonlinear pricing of digital goods and nonlinear pricing under competitive threat.

Suggested Citation

  • David Martimort & Lars A. Stole, 2022. "Participation constraints in discontinuous adverse selection models," PSE-Ecole d'économie de Paris (Postprint) halshs-03758833, HAL.
    • Handle: RePEc:hal:pseptp:halshs-03758833
    DOI: 10.3982/TE3030
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    Cited by:

    1. is not listed on IDEAS
    2. Julian Teichgräber & Simon Žužek & Jannik Hensel, 2022. "Optimal short-time work: screening for jobs at risk," ECON - Working Papers 402, Department of Economics - University of Zurich.
    3. David Martimort & Lars Stole, 2024. "Menu Auctions Under Asymmetric Information," Working Papers hal-04784955, HAL.

    More about this item

    Keywords

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    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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