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Spatial pillage game

机译：空间掠夺游戏

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摘要

A pillage game is a coalitional game as a model of Hobbesian anarchy. The spatial pillage game introduces a spatial feature into the pillage game. Players are located in regions and can travel from one region to another. The players can form a coalition and combine their power only within their destination regions, which limits the exertion of the power of each coalition. Under this spatial restriction, a coalition can pillage less powerful coalitions with-out any cost. The feasibility of pillages between coalitions determines the dominance relation that defines stable states in which powers among the players are endogenously balanced. With the spatial restriction, the set of stable states changes. However, if the players have forecasting ability, then the set of stable states does not change with the spatial restriction. Core, stable set, and farsighted core are adopted as alternative solution concepts.
机译：抢劫游戏是联盟游戏，是霍布斯无政府状态的模型。空间掠夺游戏将空间特征引入了掠夺游戏。玩家位于不同地区，可以从一个地区前往另一个地区。玩家可以组建一个联盟，并且只能在其目的地区域内合并自己的力量，这限制了每个联盟的力量的发挥。在这种空间限制下，一个联盟可以掠夺实力不强的联盟，而不会付出任何代价。联盟之间掠夺的可行性决定了主导关系，该主导关系定义了稳定状态，在这些状态中参与者之间的权力是内生的平衡。由于空间的限制，稳态集会发生变化。但是，如果玩家具有预测能力，则稳定状态集不会随空间限制而变化。采用核心，稳定集和有远见的核心作为替代解决方案概念。

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