A New Approach to Contest Models
University of Milan Bicocca Department of Economics, Management and Statistics Working Paper No. 364
60 Pages Posted: 3 Mar 2017
Date Written: March 3, 2017
Abstract
The purpose of this paper is to propose a symmetric two player general contest model in order to study the relationship between equilibria and crucial structural parameters of the model. In particular, given a general specification of the players’ set of possible entries, of the agents’ utility functions, and of the rules that presides over outcomes, we aim to analyze the characteristics of the set of equilibria as a function of structural characteristics of the contest technology and of the outcome function. Focusing on three main cases, we study the effect of introducing spillover in the marginal productivity of agents’ efforts and in the polarization between agents’ goals. Firstly, we show that without spillover the equilibrium efforts’ intensity is uniquely connected to the ratio between marginal productivity of effort and polarization. Secondly, we are able to connect existence of multiple symmetric and asymmetric equilibria to the intensity of spillover effects into outcomes. Finally, we show that spillover in contest technology can imply the non existence of equilibria.
Keywords: Symmetric contest, multiple equilibria, symmetric and asymmetric equilibria.
JEL Classification: C72, D72 , D74
Suggested Citation: Suggested Citation