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Characterization of the painting rule for multi-source minimal cost spanning tree problems

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Listed:
  • Bergantiños, Gustavo
  • Navarro, Adriana

Abstract

In this paper we provide an axiomatic characterization of the painting rule for minimum cost spanning tree problems with multiple sources. The properties we need are: cone-wise additivity, cost monotonicity, symmetry, isolated agents, and equal treatment of source costs.

Suggested Citation

  • Bergantiños, Gustavo & Navarro, Adriana, 2019. "Characterization of the painting rule for multi-source minimal cost spanning tree problems," MPRA Paper 93266, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:93266
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    File URL: https://mpra.ub.uni-muenchen.de/93266/1/MPRA_paper_93266.pdf
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    References listed on IDEAS

    as
    1. Norde, Henk & Moretti, Stefano & Tijs, Stef, 2004. "Minimum cost spanning tree games and population monotonic allocation schemes," European Journal of Operational Research, Elsevier, vol. 154(1), pages 84-97, April.
    2. Gustavo Bergantiños & Youngsub Chun & Eunju Lee & Leticia Lorenzo, 2022. "The Folk Rule for Minimum Cost Spanning Tree Problems with Multiple Sources," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 1-36, March.
    3. Gustavo Bergantiños & Leticia Lorenzo, 2021. "Cost additive rules in minimum cost spanning tree problems with multiple sources," Annals of Operations Research, Springer, vol. 301(1), pages 5-15, June.
    4. Bergantiños, G. & Navarro-Ramos, A., 2019. "The folk rule through a painting procedure for minimum cost spanning tree problems with multiple sources," Mathematical Social Sciences, Elsevier, vol. 99(C), pages 43-48.
    5. 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.
    6. Bergantiños, G. & Gómez-Rúa, M. & Llorca, N. & Pulido, M. & Sánchez-Soriano, J., 2014. "A new rule for source connection problems," European Journal of Operational Research, Elsevier, vol. 234(3), pages 780-788.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    minimum cost spanning tree problems with multiple sources; painting rule; axiomatic characterization.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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