Proportional resource allocation in dynamic n-player Blotto games

Nejat Anbarci (), Kutay Cingiz and Mehmet S. Ismail

Mathematical Social Sciences, 2023, vol. 125, issue C, 94-100

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.

Keywords: Multi-battle contests; Sequential elections; Blotto games; Proportionality (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:125:y:2023:i:c:p:94-100

DOI: 10.1016/j.mathsocsci.2023.07.002

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