动态n人Blotto对策中的比例资源分配
Proportional resource allocation in dynamic n-player Blotto games
摘要：
长期以来，各种社会、经济和政治互动都是以布洛托博弈为模型的。在本文中，我们介绍了一个一般的动态$n$ -球员Blotto比赛模型。玩家拥有不对称的资源，战场奖品也不一定是同质的。每个玩家在战场上赢得奖品的概率由比赛成功函数和玩家在该战场上的资源分配决定。我们证明了存在一个子博弈精炼均衡，在这个均衡中，参与者按照战场奖励的比例分配他们的资源。这一结果在整个博弈过程中对外源性资源冲击具有鲁棒性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
