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On nash subsets and mobility chains in bimatrix games

Author

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  • G. A. Heuer
  • C. B. Millham

Abstract

This work is concerned with constructing, analyzing, and finding “mobility chains” for bimatrix games, sequences of equilibrium points along which it is possible for the two players to progress, one equilibrium point at a time, to an equilibrium point that is preferred by both players. The relationship between mobility chains and Nash subsets is established, and some properties of maximal Nash subsets are proved.

Suggested Citation

  • G. A. Heuer & C. B. Millham, 1976. "On nash subsets and mobility chains in bimatrix games," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(2), pages 311-319, June.
  • Handle: RePEc:wly:navlog:v:23:y:1976:i:2:p:311-319
    DOI: 10.1002/nav.3800230213
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