Title
Bounds for Mixed Strategy Equilibria and the Spatial Model of Elections
Abstract
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. Journal of Economic Literature Classification Numbers: C72, D72.
Year
DOI
Venue
2002
10.1006/jeth.2001.2825
Journal of Economic Theory
Keywords
DocType
Volume
Nash equilibrium,undominated strategies,uncovered set
Journal
103
Issue
ISSN
Citations 
1
0022-0531
17
PageRank 
References 
Authors
5.07
1
3
Name
Order
Citations
PageRank
Jeffrey S. Banks15012.51
John Duggan2241145.72
Michel Le Breton39124.03