Discriminatory power and pure strategy Nash equilibrium in the lottery Blotto game |
| |
Authors: | Jin Xu Junjie Zhou |
| |
Affiliation: | 1. Shandong University, China;2. National University of Singapore, Department of Economics, 1 Arts Link, Singapore, 117570, Singapore |
| |
Abstract: | This paper highlights the role of discriminatory power in showing the existence of pure strategy Nash equilibrium in a two-player lottery Blotto game. Precisely, when the discriminatory power of the contest success function in every battle is less than or equal to one, a pure strategy Nash equilibrium always exists for any prizes and budgets. However, we construct examples in which pure strategy Nash equilibrium fails to exist as long as the discriminatory power of only one battle exceeds one. |
| |
Keywords: | Lottery Blotto game Pure strategy Nash equilibrium Discriminatory power Existence |
本文献已被 ScienceDirect 等数据库收录! |
|