Proportional resource allocation in dynamic n-player Blotto games

Anbarci, Nejat; Cingiz, Kutay; Ismail, Mehmet S.

Abstract

In this note, we introduce a general model of dynamic
n-player multi-battle Blotto contests in which asymmetric resources and non-homogeneous battlefield prizes are possible. Each player’s probability of winning the prize in a battlefield is governed by a ratio-form contest success function and players’ resource allocation on that battlefield. We show that there exists a pure subgame perfect equilibrium in which players allocate their resources in proportion to the battlefield prizes for every history. We also give a sufficient condition that if there are two players and the contest success function is of Tullock type, then the subgame perfect equilibrium is unique.

• Journal Article Type: Article
• Acceptance Date: Jul 6, 2023
• Online Publication Date: Jul 12, 2023
• Publication Date: 2023-09
• Deposit Date: Aug 16, 2023
• Publicly Available Date: Aug 16, 2023
• Journal: Mathematical Social Sciences
• Print ISSN: 0165-4896
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 125
• Pages: 94-100
• DOI: https://doi.org/10.1016/j.mathsocsci.2023.07.002
• Keywords: Statistics, Probability and Uncertainty; General Psychology; General Social Sciences; Sociology and Political Science
• Public URL: https://durham-repository.worktribe.com/output/1719280