Proportional resource allocation in dynamic n-player Blotto games
Theoretical Economics
2022-07-27 v2
Abstract
A variety of social, economic, and political interactions have long been modelled after Blotto games. In this paper, we introduce a general model of dynamic -player Blotto contests. The players have asymmetric resources, and the battlefield prizes are not necessarily homogeneous. Each player's probability of winning the prize in a battlefield is governed by a contest success function and players' resource allocation on that battlefield. We show that there exists a subgame perfect equilibrium in which players allocate their resources proportional to the battlefield prizes for every history. This result is robust to exogenous resource shocks throughout the game.
Cite
@article{arxiv.2010.05087,
title = {Proportional resource allocation in dynamic n-player Blotto games},
author = {Nejat Anbarcı and Kutay Cingiz and Mehmet S. Ismail},
journal= {arXiv preprint arXiv:2010.05087},
year = {2022}
}