Vol. 28, No. 3, 1969

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Games with unique solutions that are nonconvex

William Franklin Lucas

Vol. 28 (1969), No. 3, 599–602
Abstract

In 1944 von Neumann and Morgenstern introduced a theory of solutions (stable sets) for n-person games in characteristic function form. This paper describes an eight-person game in their model which has a unique solution that is nonconvex. Former results in solution theory had not indicated that the set of all solutions for a game should be of this nature.

Mathematical Subject Classification
Primary: 90.70
Milestones
Received: 26 June 1967
Published: 1 March 1969
Authors
William Franklin Lucas