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Renegotiation and dynamic inconsistency: Contracting with non-exponential discounting

Esat Doruk Cetemen, Felix Zhiyu Feng and Can Urgun

Journal of Economic Theory, 2023, vol. 208, issue C

Abstract: This paper studies a continuous-time, finite-horizon contracting problem with renegotiation and dynamic inconsistency arising from non-exponential discounting. The problem is formulated as a dynamic game played among the agent, the principal and their respective future “selves”, each with their own discount function. We identify the principal optimal renegotiation-proof contract as a Markov perfect equilibrium (MPE) of the game, prove that such an MPE exists, and characterize the optimal contract via an extended Hamilton-Jacobi-Bellman system. We solve the optimal contract in closed-form when discounting is a function of the time-difference only and demonstrate the applicability of the results in several different settings.

Keywords: Continuous-time contracting; Dynamic inconsistency; Renegotiation; Extended HJB system; Non-atomic games (search for similar items in EconPapers)
JEL-codes: D82 D86 D91 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Working Paper: Renegotiation and Dynamic Inconsistency: Contracting with Non-Exponential Discounting (2021) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:208:y:2023:i:c:s0022053123000029

DOI: 10.1016/j.jet.2023.105606

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