Allocating goods on a graph to eliminate envy

  • Authors:
  • Yann Chevaleyre;Ulle Endriss;Nicolas Maudet

  • Affiliations:
  • LAMSADE, Univ. Paris-Dauphine, France;ILLC, University of Amsterdam, The Netherlands;LAMSADE, Univ. Paris-Dauphine, France

  • Venue:
  • AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

We introduce a distributed negotiation framework for multi-agent resource allocation where interactions between agents are limited by a graph defining a negotiation topology. A group of agents may only contract a deal if that group is fully connected according to the negotiation topology. An important criterion for assessing the quality of an allocation of resources, in terms of fairness, is envy-freeness: an agent is said to envy another agent if it would prefer to swap places with that other agent. We analyse under what circumstances a sequence of deals respecting the negotiation topology may be expected to converge to a state where no agent envies any of the agents it is directly connected to. We also analyse the computational complexity of a related decision problem, namely the problem of checking whether a given negotiation state admits any deal that would both be beneficial to every agent involved and reduce envy in the agent society.