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Proportional resource allocation in dynamic n-player Blotto games

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Listed:
  • Nejat Anbarc{i}
  • Kutay Cingiz
  • Mehmet S. Ismail

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 $n$-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.

Suggested Citation

  • Nejat Anbarc{i} & Kutay Cingiz & Mehmet S. Ismail, 2020. "Proportional resource allocation in dynamic n-player Blotto games," Papers 2010.05087, arXiv.org, revised Jul 2022.
    • Handle: RePEc:arx:papers:2010.05087
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    References listed on IDEAS

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    1. Kjell Hausken, 2023. "Two-period Colonel Blotto contest with cumulative investments over variable assets with resource constraints," SN Business & Economics, Springer, vol. 3(11), pages 1-18, November.

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