On the price of stability for designing undirected networks with fair cost allocations

  • Authors:
  • Amos Fiat;Haim Kaplan;Meital Levy;Svetlana Olonetsky;Ronen Shabo

  • Affiliations:
  • School of Computer Science, Tel-Aviv University, Israel;School of Computer Science, Tel-Aviv University, Israel;School of Computer Science, Tel-Aviv University, Israel;School of Computer Science, Tel-Aviv University, Israel;School of Computer Science, Tel-Aviv University, Israel

  • Venue:
  • ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part I
  • Year:
  • 2006

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Abstract

In this paper we address the open problem of bounding the price of stability for network design with fair cost allocation for undirected graphs posed in [1]. We consider the case where there is an agent in every vertex. We show that the price of stability is O(loglogn). We prove this by defining a particular improving dynamics in a related graph. This proof technique may have other applications and is of independent interest.