International Journal of Game Theory

, Volume 8, Issue 2, pp 109–113 | Cite as

Positional strategies for mean payoff games

  • A. Ehrenfeucht
  • J. Mycielski


We study some games of perfect information in which two players move alternately along the edges of a finite directed graph with weights attached to its edges. One of them wants to maximize and the other to minimize some means of the encountered weights.


Economic Theory Game Theory Directed Graph Perfect Information Positional Strategy 
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  1. Ehrenfeucht, A., andJ. Mycielski: Positional games over a graph, Notices of the American Mathematical Society20, 1973, A-334.Google Scholar
  2. Mycielski, J.: On the axiom of determinateness (II). Fundamenta Mathematicae59, 1966, 203–212.Google Scholar

Copyright information

© Physica-Verlag 1979

Authors and Affiliations

  • A. Ehrenfeucht
    • 1
  • J. Mycielski
    • 2
  1. 1.Department of Computer ScienceUniversity of ColoradoBoulderUSA
  2. 2.Department of MathematicsUniversity of ColoradoBoulderUSA

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