Communications to the Editor--A Counterexample in Game Theory

William Lucas

Management Science, 1967, vol. 13, issue 9, 766-767

Abstract: This note describes a 5-person von Neumann-Morgenstern game which has a unique solution that is strictly larger than its core. This game provides a counterexample for the following two conjectures stated by L. S. Shapley in [Kuhn, H. W., ed. Report of an Informal Conference on the Theory of n-Person Games, held at Princeton University, March 20-21, 1953 (dittoed).].

Date: 1967
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