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Communications to the Editor--A Counterexample in Game Theory

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  • W. F. Lucas

    (The BAND Corporation)

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).].

Suggested Citation

  • W. F. Lucas, 1967. "Communications to the Editor--A Counterexample in Game Theory," Management Science, INFORMS, vol. 13(9), pages 766-767, May.
    • Handle: RePEc:inm:ormnsc:v:13:y:1967:i:9:p:766-767
    DOI: 10.1287/mnsc.13.9.766
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    Cited by:

    1. Zhao, Jingang, 2018. "Three little-known and yet still significant contributions of Lloyd Shapley," Games and Economic Behavior, Elsevier, vol. 108(C), pages 592-599.

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