Symmetry in n-player games
针对现有n人博弈对称性定义无法涵盖Salop圆模型等直观对称情形的问题,提出更一般的对称性条件,并证明该条件仍保留均衡刻画和比较静态分析等有用性质。
This paper regards symmetry in games with more than two players. It is often said that a two-player game is symmetric if it looks the same to both players. However, there are n-player games, such as Salop's circle model, that seem intuitively to look the same to all players, but do not meet the common definition of a symmetric n-player game. This paper proposes a more general symmetry condition that is satisfied by such models. Previous authors have established that games which are symmetric in the common sense have a number of useful properties relating to equilibrium characterization and comparative statics. With few exceptions, those properties continue to hold in the richer class of games that meet the symmetry condition proposed here.