Working paper

Optimality of Winner-Take-All Contests: The Role of Attitudes toward Risk

Linqun Liu, and Nicolas Treich

Abstract

This paper studies the role of risk attitudes in determining the optimality of winner-take-all contests. We compare the typical singlewinner lottery contest with two alternatives, both spreading the rewards to more players: through holding multiple prize-giving lottery competitions or through guaranteeing a bottom prize for the losers. In the first comparison, we find that the multiple-competition contest is as effective as the winner-take-all contest when the contestants are risk neutral, but the former induces more effort than the latter when the contestants are both risk averse and prudent. In the second comparison, we find that the contest with a bottom prize is always dominated by the winner-take-all contest when the contestants are risk neutral, but the former could have an advantage over the latter when the contestants are both risk averse and prudent, and it is more likely so as the contestants become more prudent.

Keywords

contests; winner take all; multiple prizes; risk aversion; prudence;

JEL codes

  • C72: Noncooperative Games
  • D72: Political Processes: Rent-Seeking, Lobbying, Elections, Legislatures, and Voting Behavior
  • D81: Criteria for Decision-Making under Risk and Uncertainty

Reference

Linqun Liu, and Nicolas Treich, Optimality of Winner-Take-All Contests: The Role of Attitudes toward Risk, TSE Working Paper, n. 21-1194, February 2021.

See also

Published in

TSE Working Paper, n. 21-1194, February 2021