Mathematical Theory of Zero-Sum Two-Person Games with a Finite Number or a Continuum of Strategies

H. F. Bohnenblust, Melvin Dresher, M. A. Girshick, Theodore Edward Harris, Olaf Helmer-Hirschberg, J. C. C. McKinsey, Lloyd S. Shapley, R. N. Snow

ResearchPublished 1948

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 This is followed by the unpublished results on games with a finite number of strategies obtained by M.A. Girshick, O. Helmer, L.S. Shapley and R.N. Snow.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.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1948
  • Print Format: Paperback
  • Paperback Pages: 53
  • Paperback Price: $15.00
  • DOI: https://doi.org/10.7249/R115
  • Document Number: R-115

Citation

RAND Style Manual
Bohnenblust, H. F., Melvin Dresher, M. A. Girshick, Theodore Edward Harris, Olaf Helmer-Hirschberg, J. C. C. McKinsey, Lloyd S. Shapley, and R. N. Snow, Mathematical Theory of Zero-Sum Two-Person Games with a Finite Number or a Continuum of Strategies, RAND Corporation, R-115, 1948. As of September 24, 2024: https://www.rand.org/pubs/reports/R115.html
Chicago Manual of Style
Bohnenblust, H. F., Melvin Dresher, M. A. Girshick, Theodore Edward Harris, Olaf Helmer-Hirschberg, J. C. C. McKinsey, Lloyd S. Shapley, and R. N. Snow, Mathematical Theory of Zero-Sum Two-Person Games with a Finite Number or a Continuum of Strategies. Santa Monica, CA: RAND Corporation, 1948. https://www.rand.org/pubs/reports/R115.html. Also available in print form.
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