Investment on human capital in a dynamic contest model

Date
2019
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Studies in Nonlinear Dynamics and Econometrics
Print ISSN
1081-1826
Electronic ISSN
Publisher
De Gruyter
Volume
23
Issue
1
Pages
1 - 23
Language
English
Journal Title
Journal ISSN
Volume Title
Series
Abstract

Although most contest games are modeled in such a way that the outcome depends only on the efforts exerted by the contestants, what is arguably more important is the contestants’ effective efforts which may be influenced also by their ability, human capital, strength, etc. In this paper, we investigate an extensive model including such an effectiveness parameter and analyze the optimal investment behavior in a dynamic conflict framework. At each period, two contestants compete for a common prize by choosing contest efforts and investment levels. Each contestant’s investment accumulates as his/her human capital which depreciates through time. Who wins the component contest at a particular period is determined by the contestants’ effective efforts, defined as increasing functions of their efforts and human capitals. Following the analysis of subgame perfect Nash equilibrium in a two-period model and of open-loop equilibrium in an infinite-horizon model, we provide intuitive comparative static results.

Course
Other identifiers
Book Title
Citation
Published Version (Please cite this version)