Convergence of Ordered Improvement Paths in Generalized Congestion Games

  • K. Ruben Brokkelkamp
  • Mees J. de Vries
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7615)


We consider generalized congestion games, a class of games in which players share a set of strategies and the payoff functions depend only on the chosen strategy and the number of players playing the same strategy, in such a way that fewer such players results in greater payoff. In these games we consider improvement paths. As shown by Milchtaich [2] such paths may be infinite. We consider paths in which the players deviate in a specific order, and prove that ordered best response improvement paths are finite, while ordered better response improvement paths may still be infinite.


Nash Equilibrium Congestion Game Potential Game Positive Entry Extensive Game 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • K. Ruben Brokkelkamp
    • 1
  • Mees J. de Vries
    • 1
  1. 1.Korteweg–de Vries InstituteUniversity of AmsterdamNetherlands

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