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Proportional resource allocation in dynamic n-player Blotto games

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  • 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.

Suggested Citation

  • Anbarci, Nejat & Cingiz, Kutay & Ismail, Mehmet S., 2023. "Proportional resource allocation in dynamic n-player Blotto games," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 94-100.
    • Handle: RePEc:eee:matsoc:v:125:y:2023:i:c:p:94-100
    DOI: 10.1016/j.mathsocsci.2023.07.002
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