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On the Shapley value of a minimum cost spanning tree problem

Listed author(s):
  • Gustavo Bergantiños

    (Universidade de Vigo)

  • Juan Vidal-Puga

    (Universidade de Vigo)

We associate an optimistic coalitional game with each minimum cost spanning tree problem. We define the worth of a coalition as the cost of connection assuming that the rest of the agents are already connected. We define a cost sharing rule as the Shapley value of this optimistic game. We prove that this rule coincides with a rule present in the literature under different names. We also introduce a new characterization using a property of equal contributions.

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File URL: http://econwpa.repec.org/eps/game/papers/0509/0509001.pdf
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Paper provided by EconWPA in its series Game Theory and Information with number 0509001.

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Length: 17 pages
Date of creation: 01 Sep 2005
Handle: RePEc:wpa:wuwpga:0509001
Note: Type of Document - pdf; pages: 17
Contact details of provider: Web page: http://econwpa.repec.org

References listed on IDEAS
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  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.
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