Characterization of monotonic rules in minimum cost spanning tree problems

Gustavo Bergantiños and Juan Vidal-Puga

International Journal of Game Theory, 2015, vol. 44, issue 4, 835-868

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. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Cost sharing; Minimum cost spanning tree problems; Monotonicity; Irreducible core (search for similar items in EconPapers)
Date: 2015
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Working Paper: Characterization of monotonic rules in minimum cost spanning tree problems (2012)
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DOI: 10.1007/s00182-014-0456-4

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