A Solvable Time-Inconsistent Principal-Agent Problem

We consider the dynamic contract model with time inconsistency preference of principal-agent problem to study the influence of the time inconsistency preference on the optimal effort and the optimal reward mechanism. We show that when both the principal and the agent are time-consistent, the optimal...

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Main Authors: Chao Li, Zhijian Qiu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/8512608
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author Chao Li
Zhijian Qiu
author_facet Chao Li
Zhijian Qiu
author_sort Chao Li
collection DOAJ
description We consider the dynamic contract model with time inconsistency preference of principal-agent problem to study the influence of the time inconsistency preference on the optimal effort and the optimal reward mechanism. We show that when both the principal and the agent are time-consistent, the optimal effort and the optimal reward are the decreasing functions of the uncertain factor. And when the agent is time-inconsistent, the impatience of the agent has a negative impact on the optimal contract. The higher the discount rate of the agent is, the lower the efforts provided; agents tend to the timely enjoyment. In addition, when both the principal and the agent are time-inconsistent, in a special case, their impatience can offset the impact of uncertainty factor on the optimal contract, but, in turn, their impatience will affect the contract.
format Article
id doaj-art-a0953a00e26b483a888601ff46ab52f1
institution Kabale University
issn 1026-0226
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-a0953a00e26b483a888601ff46ab52f12025-02-03T05:45:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/85126088512608A Solvable Time-Inconsistent Principal-Agent ProblemChao Li0Zhijian Qiu1School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, ChinaSchool of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, ChinaWe consider the dynamic contract model with time inconsistency preference of principal-agent problem to study the influence of the time inconsistency preference on the optimal effort and the optimal reward mechanism. We show that when both the principal and the agent are time-consistent, the optimal effort and the optimal reward are the decreasing functions of the uncertain factor. And when the agent is time-inconsistent, the impatience of the agent has a negative impact on the optimal contract. The higher the discount rate of the agent is, the lower the efforts provided; agents tend to the timely enjoyment. In addition, when both the principal and the agent are time-inconsistent, in a special case, their impatience can offset the impact of uncertainty factor on the optimal contract, but, in turn, their impatience will affect the contract.http://dx.doi.org/10.1155/2018/8512608
spellingShingle Chao Li
Zhijian Qiu
A Solvable Time-Inconsistent Principal-Agent Problem
Discrete Dynamics in Nature and Society
title A Solvable Time-Inconsistent Principal-Agent Problem
title_full A Solvable Time-Inconsistent Principal-Agent Problem
title_fullStr A Solvable Time-Inconsistent Principal-Agent Problem
title_full_unstemmed A Solvable Time-Inconsistent Principal-Agent Problem
title_short A Solvable Time-Inconsistent Principal-Agent Problem
title_sort solvable time inconsistent principal agent problem
url http://dx.doi.org/10.1155/2018/8512608
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AT zhijianqiu asolvabletimeinconsistentprincipalagentproblem
AT chaoli solvabletimeinconsistentprincipalagentproblem
AT zhijianqiu solvabletimeinconsistentprincipalagentproblem