International Journal of Game Theory

, Volume 2, Issue 1, pp 65–67 | Cite as

A class of games possessing pure-strategy Nash equilibria

  • Robert W. Rosenthal


A class of noncooperative games (of interest in certain applications) is described. Each game in the class is shown to possess at least one Nash equilibrium in pure strategies.


Nash Equilibrium Economic Theory Game Theory Pure Strategy Noncooperative Game 
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  1. Charnes, A., andW. Cooper: Management Models and Industrial Applications of Linear Programming vol. II, John Wiley and Sons, New York, 1961, pp. 785–797.Google Scholar
  2. Rosenthal, R.: “The Network Equilibrium Problem in Integers”, forthcoming in Networks.Google Scholar

Copyright information

© Physica-Verlag Rudolf Liebing KG 1973

Authors and Affiliations

  • Robert W. Rosenthal
    • 1
  1. 1.Department of Industrial Engineering and Management SciencesNorthwestern University Evanston

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