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Folk solution for simple minimum cost spanning tree problems


  • Subiza, Begoña
  • Giménez Gómez, José M. (José Manuel)
  • Peris, Josep E.


A minimum cost spanning tree problem analyzes how to efficiently connect a group of individuals to a source. Once the efficient tree is obtained, the addressed question is how to allocate the total cost among the involved agents. One prominent solution in allocating this minimum cost is the so-called Folk solution. Unfortunately, in general, the Folk solution is not easy to compute. We identify a class of mcst problems in which the Folk solution is obtained in an easy way. Keywords: Minimum cost spanning tree problem; Folk solution; Elementary cost matrix; Simple mcst problem; JEL classification: C71, D63, D71.

Suggested Citation

  • Subiza, Begoña & Giménez Gómez, José M. (José Manuel) & Peris, Josep E., 2015. "Folk solution for simple minimum cost spanning tree problems," Working Papers 2072/260958, Universitat Rovira i Virgili, Department of Economics.
  • Handle: RePEc:urv:wpaper:2072/260958

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    References listed on IDEAS

    1. 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.
    2. Feltkamp, V. & Tijs, S.H. & Muto, S., 1994. "On the irreducible core and the equal remaining obligations rule of minimum cost spanning extension problems," Discussion Paper 1994-106, Tilburg University, Center for Economic Research.
    3. Estévez-Fernández, Arantza & Reijnierse, Hans, 2014. "On the core of cost-revenue games: Minimum cost spanning tree games with revenues," European Journal of Operational Research, Elsevier, vol. 237(2), pages 606-616.
    4. Gustavo Bergantinos & Juan Vidal-Puga, 2008. "On Some Properties of Cost Allocation Rules in Minimum Cost Spanning Tree Problems," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(3), pages 251-267, December.
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    Cited by:

    1. Giménez-Gómez, José M & Peris, Josep E & Subiza, Begoña, 2019. "An Egalitarian Approach for Sharing the Cost of a Spanning Tree," QM&ET Working Papers 19-3, University of Alicante, D. Quantitative Methods and Economic Theory.
    2. Christian Trudeau & Juan Vidal-Puga, 2017. "Clique games: a family of games with coincidence between the nucleolus and the Shapley value," Working Papers 1705, University of Windsor, Department of Economics.

    More about this item


    Jocs cooperatius; Economia del benestar; Elecció social; 33 - Economia;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations


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