论文标题
动态N-player Blotto游戏中的比例资源分配
Proportional resource allocation in dynamic n-player Blotto games
论文作者
论文摘要
长期以来，各种社会，经济和政治互动一直是在模拟游戏之后建模的。在本文中，我们介绍了动态$ n $ - 玩家blotto竞赛的通用模型。球员拥有不对称的资源，战场奖品不一定是同质的。每个球员在战场上赢得奖项的可能性受比赛成功功能和在战场上的参与者资源分配的约束。我们表明存在一个子游戏的完美平衡，玩家在每个历史上分配了与战场奖品成正比的资源。在整个游戏中，此结果对外源资源冲击是强大的。
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.
