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On Equilibria for ADM Minimization Games

  • Leah Epstein
  • Asaf Levin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5814)

Abstract

In the ADM minimization problem, the input is a set of arcs along a directed ring. The input arcs need to be partitioned into non-overlapping chains and cycles so as to minimize the total number of endpoints, where a k-arc cycle contributes k endpoints and a k-arc chain contains k + 1 endpoints. We study ADM minimization problem both as a non-cooperative and a cooperative games. In these games, each arc corresponds to a player, and the players share the cost of the ADM switches. We consider two cost allocation models, a model which was considered by Flammini et al., and a new cost allocation model, which is inspired by congestion games. We compare the price of anarchy and price of stability in the two cost allocation models, as well as the strong price of anarchy and the strong price of stability.

Keywords

Nash Equilibrium Cooperative Game Cost Allocation Congestion Game Strong Equilibrium 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Leah Epstein
    • 1
  • Asaf Levin
    • 2
  1. 1.Department of MathematicsUniversity of HaifaHaifaIsrael
  2. 2.Chaya Fellow. Faculty of Industrial Engineering and ManagementThe TechnionHaifaIsrael

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