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Dominance and Equilibria in the Path Player Game

In: Operations Research Proceedings 2005

Author

Listed:
  • Anita Schöbel

    (University of Göttingen)

  • Silvia Schwarze

    (University of Göttingen)

Abstract

Summary This paper investigates the relation between Nash equilibria and non-dominated solutions in a special class of games, namely path player games. Nash equilibria are situations in a game where none of the players is able to obtain a better outcome by himself. On the other hand, a situation is non-dominated if there does not exist a situation which is really better for one of the players, and at least the same for all others. We provide two classes of path player games in which each non-dominated situation is a Nash equilibrium, and one class in which also the reverse is true.

Suggested Citation

  • Anita Schöbel & Silvia Schwarze, 2006. "Dominance and Equilibria in the Path Player Game," Operations Research Proceedings, in: Hans-Dietrich Haasis & Herbert Kopfer & Jörn Schönberger (ed.), Operations Research Proceedings 2005, pages 489-494, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-32539-0_77
    DOI: 10.1007/3-540-32539-5_77
    as

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