Group-Strategyproof Cost Sharing for Metric Fault Tolerant Facility Location

  • Authors:
  • Yvonne Bleischwitz;Florian Schoppmann

  • Affiliations:
  • Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, Paderborn, Germany 33102;Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, Paderborn, Germany 33102 and International Graduate School of Dynamic Intelligent Systems,

  • Venue:
  • SAGT '08 Proceedings of the 1st International Symposium on Algorithmic Game Theory
  • Year:
  • 2008

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Abstract

In the context of general demandcost sharing, we present the first group-strategyproof mechanisms for the metric fault tolerant uncapacitated facility location problem. They are $(3 \ensuremath{L})$-budget-balanced and $(3 \ensuremath{L} \cdot (1 + \mathcal H_n))$-efficient, where $\ensuremath{L}$ is the maximum service level and nis the number of agents. These mechanisms generalize the seminal Moulin mechanismsfor binary demand. We also apply this approach to the generalized Steiner problem in networks.