A review of cooperative rules and their associated algorithms for minimum-cost spanning tree problems

  1. Gustavo Bergantiños
  2. Juan Vidal-Puga
Journal:
SERIEs : Journal of the Spanish Economic Association

ISSN: 1869-4195

Year of publication: 2021

Volume: 12

Issue: 1

Pages: 73-100

Type: Article

DOI: 10.1007/S13209-021-00230-Y DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: SERIEs : Journal of the Spanish Economic Association

Abstract

Minimum-cost spanning tree problems are well-known problems in the operations research literature. Some agents, located at different geographical places, want a service provided by a common supplier. Agents will be served through costly connections. Some part of the literature has focused, mainly, in studying how to allocate the connection cost among the agents. We review the papers that have addressed the allocation problem using cooperative game theory. We also relate the rules defined through cooperative games with rules defined directly from the problem, either through algorithms for computing a minimal tree, either through a cone-wise decomposition.

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