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Cost additive rules in minimum cost spanning tree problems with multiple sources


  • Bergantiños, Gustavo
  • Lorenzo, Leticia


In this paper, we introduce a family of rules in minimum cost spanning tree problems with multiple sources called Kruskal sharing rules. This family is characterized with cone wise additivity and independence of irrelevant trees . We also investigate some subsets of this family and provide their axiomatic characterizations. The first subset is obtained by adding core selection. The second one is obtained by adding core selection and equal treatment of source costs

Suggested Citation

  • Bergantiños, Gustavo & Lorenzo, Leticia, 2019. "Cost additive rules in minimum cost spanning tree problems with multiple sources," MPRA Paper 96937, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:96937

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    minimum cost spanning tree problems; multiple sources; Kruskal sharing rules; axiomatic characterizations.;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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