Existence of equilibrium pairs in continuous games |
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Authors: | Prof G Owen |
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Institution: | 1. Department of Mathematical Sciences, Rice University, 77001, Houston, Texas 2. CEREMADE, Université de Paris IX, France
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Abstract: | It is shown that all continuous two-person general-sum games over the square have equilibrium pairs of mixed strategy. A slight extension of Helly's Second Theorem, which may be of some slight interest in its own right, is used. The result is then generalized to all continuousn-person games on the cube. |
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