Participation constraints in discontinuous adverse selection models

David Martimort and Lars Stole

PSE-Ecole d'économie de Paris (Postprint) from HAL

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.

Keywords: Optimal control; Nonsmooth optimization; Convex analysis; Type-dependent participation constraints; Principal-agent models (search for similar items in EconPapers)
Date: 2022-07
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Published in Theoretical Economics, 2022, 17 (3), pp.1145-1181. ⟨10.3982/TE3030⟩

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Related works:
Journal Article: Participation constraints in discontinuous adverse selection models (2022)
Working Paper: Participation constraints in discontinuous adverse selection models (2022)
Working Paper: Participation Constraints in Discontinuous Adverse Selection Models (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:halshs-03758833

DOI: 10.3982/TE3030

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