Bounds for mixed strategy equilibria and the spatial model of elections

被引:36
作者
Banks, JS [1 ]
Duggan, J
Le Breton, M
机构
[1] CALTECH, Div Humanities & Social Sci, Pasadena, CA 91125 USA
[2] Univ Rochester, Dept Polit Sci, Rochester, NY 14627 USA
[3] Univ Rochester, Dept Econ, Rochester, NY 14627 USA
[4] CORE, B-1348 Louvain, Belgium
关键词
Nash equilibrium; undominated strategies; uncovered set;
D O I
10.1006/jeth.2001.2825
中图分类号
F [经济];
学科分类号
02 ;
摘要
We prove that the support of mixed strategy equilibria of two-player, symmetric, zero-sum games lies in the uncovered set, a concept originating in the theory of tournaments. and the spatial theory of politics. We allow for uncountably infinite strategy spaces, and as a special case. we obtain a long-standing claim to the same effect. due to R. McKelvey (Amer. J. Polit. Sci. 30 (1986), 283-314). in the political science literature. Further. we prove the nonemptiness of the uncovered set under quite general assumptions, and we establish. under various assumptions. the coanalyticity and measurability of this set. In the concluding section. we indicate how the inclusion result may be extended to multiplayer. non-zero-sum games. (C) 2001 Elsevier Science (USA).
引用
收藏
页码:88 / 105
页数:18
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