On Solutions for n-Person Games.

W. F. Lucas

ResearchPublished 1968

A solution concept for n-person cooperative games in characteristic function form was introduced by von Neumann and Morgenstern in 1944. This study reviews the definitions of an n-person game and then describes two games whose sets of solutions are rather restricted. The first is a five-person game which has a unique solution that is nonconvex. The second is an eight-person game that has no solution possessing the symmetry of the characteristic function.

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Lucas, W. F., On Solutions for n-Person Games. Santa Monica, CA: RAND Corporation, 1968. https://www.rand.org/pubs/research_memoranda/RM5567.html.
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