On the Set of Proper Equilibria of a Bimatrix Game
AbstractIn this paper it is proved that the set of proper equilibria of a bimatrix game is the finite union of polytopes. To that purpose we split up the strategy space of each player into a finite number of equivalence classes and consider for a given [epsilon] [greater than] 0 the set of all [epsilon]-proper pairs within the cartesian product of two equivalence classes. If this set is non-empty, its closure is a polytope. By considering this polytope as [epsilon] goes to zero, we obtain a (Myerson) set of proper equilibria. A Myerson set appears to be a polytope.
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Bibliographic InfoArticle provided by Springer in its journal International Journal of Game Theory.
Volume (Year): 22 (1993)
Issue (Month): 2 ()
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- Kleppe, J. & Borm, P.E.M. & Hendrickx, R.L.P., 2008.
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2008-31, Tilburg University, Center for Economic Research.
- Fiestras-Janeiro, G. & Borm, P.E.M. & Megen, F.J.C. van, 1996.
"Protective Behavior in Games,"
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