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Cooperative assignment games with the inverse Monge property

Authors
Publisher
Elsevier B.V.
Publication Date
Volume
162
Identifiers
DOI: 10.1016/j.dam.2013.08.027
Keywords
  • Assignment Game
  • Core
  • Monge Matrix
  • Buyers-Optimal Core Allocation
  • Sellers-Optimal Core Allocation

Abstract

Abstract We study inverse-Monge assignment games, namely cooperative assignment games in which the assignment matrix satisfies the inverse-Monge property. For square inverse-Monge assignment games, we describe their cores and we obtain a closed formula for the buyers-optimal and the sellers-optimal core allocations. We also apply the above results to solve the non-square case.

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