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Iterated dominance in quasisupermodular games with strict single crossing property. (English) Zbl 1058.91504

Summary: We show that in quasisupermodular games that satisfy strict single crossing property the least and greatest undominated Nash-equilibrium can be reached by iteratively eliminating dominated strategies. In the first round all weakly dominated strategies are eliminated. In the successive rounds all strictly dominated strategies are iteratively eliminated.

MSC:

91A06 \(n\)-person games, \(n>2\)
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