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No advantageous merging in minimum cost spanning tree problems

Author

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  • Gomez-Rua, Maria
  • Vidal-Puga, Juan

Abstract

In the context of cost sharing in minimum cost spanning tree problems, we introduce a property called No Advantageous Merging. This property implies that no group of agents can be better off claiming to be a single node. We show that the sharing rule that assigns to each agent his own connection cost (the Bird rule) satisfies this property. Moreover, we provide a characterization of the Bird rule using No Advantageous Merging.

Suggested Citation

  • Gomez-Rua, Maria & Vidal-Puga, Juan, 2006. "No advantageous merging in minimum cost spanning tree problems," MPRA Paper 601, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:601
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    File URL: https://mpra.ub.uni-muenchen.de/601/1/MPRA_paper_601.pdf
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    References listed on IDEAS

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    4. 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.
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    6. Tijs, S.H. & Brânzei, R. & Moretti, S. & Norde, H.W., 2004. "Obligation Rules for Minimum Cost Spanning Tree Situations and their Monotonicity Properties," Other publications TiSEM 78d24994-1074-4329-b911-c, Tilburg University, School of Economics and Management.
    7. 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.
    8. Moretti, S. & Tijs, S.H. & Brânzei, R. & Norde, H.W., 2005. "Cost Monotonic "Cost and Charge" Rules for Connection Situations," Other publications TiSEM 52b2694e-5a67-4fec-a46b-1, Tilburg University, School of Economics and Management.
    9. Gérard Hamiache, 2006. "A value for games with coalition structures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(1), pages 93-105, January.
    10. Tijs, Stef & Branzei, Rodica & Moretti, Stefano & Norde, Henk, 2006. "Obligation rules for minimum cost spanning tree situations and their monotonicity properties," European Journal of Operational Research, Elsevier, vol. 175(1), pages 121-134, November.
    11. 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.
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    14. Gustavo Bergantiños & Juan Vidal-Puga, 2007. "The optimistic TU game in minimum cost spanning tree problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(2), pages 223-239, October.
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    More about this item

    Keywords

    Minimum cost spanning tree problems; cost sharing; Bird rule; No Advantageous Merging;
    All these keywords.

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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