This 1948 report presents a summary of zero-sum two-person games with a finite number of strategies as developed by von Neumann. However, Ville's proof of the fundamental theorem is given rather than the original proof of von Neumann. This is followed by the unpublished results on games with a finite number of strategies obtained by M.A. Girshick, O. Helmer, L.S. Shapley and R.N. Snow. Among the results on games with a continuum of strategies are those of H. Bohnenblust, M. Dresher, T.E. Harris, and J.C.C. McKinsey.
This report is part of the RAND Corporation Report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.