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On Some Properties of Cost Allocation Rules in Minimum Cost Spanning Tree Problems

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Author Info
Gustavo Bergantinos () (University of Vigo, Faculty of Economics and Business Sciences, Vigo, Spain)
Juan Vidal-Puga () (University of Vigo, Faculty of Social Sciences and Communication, Pontevedra, Spain)

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Abstract

We consider four cost allocation rules in minimum cost spanning tree problems. These rules were introduced by Bird (1976), Dutta and Kar (2004), Kar (2002), and Feltkamp, Tijs and Muto (1994), respectively. We give a list of desirable properties and we study which properties are satisfied by these rules.

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Publisher Info
Article provided by Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies in its journal AUCO Czech Economic Review.

Volume (Year): 2 (2008)
Issue (Month): 3 (December)
Pages: 251-267
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Handle: RePEc:fau:aucocz:au2008_251

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Related research
Keywords: Minimum cost spanning tree; properties;

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

References listed on IDEAS
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  1. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Additivity in cost spanning tree problems," Game Theory and Information 0405001, EconWPA. [Downloadable!]
  2. Feltkamp, V. & Tijs, S. & Muto, S., 1994. "On the Irreducible Core and the Equal Remaining Obligations Rule of Minimum Cost Spanning Extension Problems," Discussion Paper 106, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Gustavo Bergantiños & Juan Vidal-Puga, 2005. "A fair rule in minimum cost spanning tree problems," Game Theory and Information 0504001, EconWPA. [Downloadable!]
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  4. Kar, Anirban, 2002. "Axiomatization of the Shapley Value on Minimum Cost Spanning Tree Games," Games and Economic Behavior, Elsevier, vol. 38(2), pages 265-277, February. [Downloadable!] (restricted)
  5. Stefano Moretti & Rodica Branzei & Henk Norde & Stef Tijs, 2004. "The P-value for cost sharing in minimum," Theory and Decision, Springer, vol. 56(1), pages 47-61, 04. [Downloadable!] (restricted)
    Other versions:
  6. Dutta, Bhaskar & Kar, Anirban, 2004. "Cost monotonicity, consistency and minimum cost spanning tree games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 223-248, August. [Downloadable!] (restricted)
    Other versions:
  7. Gustavo Bergantiños & Juan Vidal-Puga, 2007. "The optimistic TU game in minimum cost spanning tree problems," International Journal of Game Theory, Springer, vol. 36(2), pages 223-239, October. [Downloadable!] (restricted)
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