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International Journal of Game Theory

, Volume 44, Issue 4, pp 835–868 | Cite as

Characterization of monotonic rules in minimum cost spanning tree problems

  • Gustavo BergantiñosEmail author
  • Juan Vidal-Puga
Article

Abstract

We provide, in minimum cost spanning tree problems, a general framework to identify the family of rules satisfying monotonicity over cost and population. We also prove that the set of allocations induced by the family coincides with the so-called irreducible core, that results from decreasing the cost of the arcs as much as possible, without reducing the minimal cost.

Keywords

Cost sharing Minimum cost spanning tree problems Monotonicity Irreducible core 

Notes

Acknowledgments

The authors wish to thank Anirban Kar for his contributions to earlier versions of this paper, titled “Monotonicity properties and the irreducible core in minimum cost spanning tree problems”. Financial support from the Spanish government through grant ECO2011-23460 and the Xunta de Galicia through grant 10PXIB362299PR is gratefully acknowledged.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Universidade de VigoVigoSpain

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