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Decentralized Pricing in Minimum Cost Spanning Trees

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Author Info
Jens Leth Hougaard (Department of Food and Resource Economics, University of Copenhagen)
Hervé Moulin (Department of Economics, Rice University)
Lars Peter Østerdal (Department of Economics, University of Copenhagen)

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Abstract

In the minimum cost spanning tree model we consider decentralized pricing rules, i.e. rules that cover at least the efficient cost while the price charged to each user only depends upon his own connection costs. We define a canonical pricing rule and provide two axiomatic characterizations. First, the canonical pricing rule is the smallest among those that improve upon the Stand Alone bound, and are either superadditive or piece-wise linear in connection costs. Our second, direct characterization relies on two simple properties highlighting the special role of the source cost.

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Publisher Info
Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 08-24.

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Length: 13 pages
Date of creation: Oct 2008
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Handle: RePEc:kud:kuiedp:0824

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Related research
Keywords: pricing rules; minimum cost spanning trees; canonical pricing rule; stand-alone cost; decentralization;

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Moulin, Herve, 1992. "Welfare bounds in the cooperative production problem," Games and Economic Behavior, Elsevier, vol. 4(3), pages 373-401, July. [Downloadable!] (restricted)
  2. Moulin, Herve & Shenker, Scott, 1996. "Strategyproof Sharing of Submodular Access Costs: Budget Balance versus Efficiency," Working Papers 96-31, Duke University, Department of Economics. [Downloadable!]
  3. Moulin, H., 1986. "Characterizations of the pivotal mechanism," Journal of Public Economics, Elsevier, vol. 31(1), pages 53-78, October. [Downloadable!] (restricted)
  4. Demko, Stephen & Hill, Theodore P., 1988. "Equitable distribution of indivisible objects," Mathematical Social Sciences, Elsevier, vol. 16(2), pages 145-158, October. [Downloadable!] (restricted)
  5. Norde, H. & Moretti, S. & Tijs, S., 2001. "Minimum cost spanning tree games and population monotonic allocation schemes," Discussion Paper 18, Tilburg University, Center for Economic Research. [Downloadable!]
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  6. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October. [Downloadable!] (restricted)
  7. Moulin, Herve, 1990. "Uniform externalities : Two axioms for fair allocation," Journal of Public Economics, Elsevier, vol. 43(3), pages 305-326, December. [Downloadable!] (restricted)
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  8. 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)
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  9. Bergantinos, Gustavo & Vidal-Puga, Juan J., 2007. "A fair rule in minimum cost spanning tree problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 326-352, November. [Downloadable!] (restricted)
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