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Proportional resource allocation in dynamic n-player Blotto games

Nejat Anbarc{\i}, Kutay Cingiz and Mehmet S. Ismail

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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.

Date: 2020-10, Revised 2022-07
New Economics Papers: this item is included in nep-gth and nep-mic
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