Spatial Pillage Game

A pillage game is a coalitional game that is meant to be a model of Hobbesian anarchy. The spatial pillage game introduces a spatial feature into the pillage game by assuming that players are located in regions. Players can travel from one region to another in one move and can form a coalition and combine their power only with players in the same region. A coalition has power only within its region. Under this spatial restriction, some members of a coalition can pillage less powerful coalitions without any cost. The feasibility of pillages between coalitions determines the dominance relation. Core, stable set, and farsighted core are adopted as alternative solution concepts.