Convergence of Local Dynamics to Balanced Outcomes in Exchange Networks

  • Authors:
  • Yossi Azar;Benjamin Birnbaum;L. Elisa Celis;Nikhil R. Devanur;Yuval Peres

  • Affiliations:
  • -;-;-;-;-

  • Venue:
  • FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
  • Year:
  • 2009

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Abstract

Bargaining games on exchange networks have been studied by both economists and sociologists. A Balanced Outcome for such a game is an equilibrium concept that combines notions of stability and fairness. In a recent paper, Kleinberg and Tardos introduced balanced outcomes to the computer science community and provided a polynomial-time algorithm to compute the set of such outcomes. Their work left open a pertinent question: are there natural, local dynamics that converge quickly to a balanced outcome? In this paper, we provide a partial answer to this question by showing that simple edge-balancing dynamics converge to a balanced outcome whenever one exists.