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Additivity in cost spanning tree problems

  • Gustavo Bergantiños

    (Universidade de Vigo)

  • Juan Vidal-Puga

    (Universidade de Vigo)

We characterize a rule in cost spanning tree problems using an additivity property and some basic properties. If the set of possible agents has at least three agents, these basic properties are symmetry and separability. If the set of possible agents has two agents, we must add positivity. In both characterizations we can replace separability by population monotonicity.

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File URL: http://128.118.178.162/eps/game/papers/0405/0405001.pdf
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Paper provided by EconWPA in its series Game Theory and Information with number 0405001.

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Length: 22 pages
Date of creation: 04 May 2004
Date of revision:
Handle: RePEc:wpa:wuwpga:0405001
Note: Type of Document - pdf; pages: 22
Contact details of provider: Web page: http://128.118.178.162

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  1. repec:ner:tilbur:urn:nbn:nl:ui:12-123753 is not listed on IDEAS
  2. 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.
  3. Stefano Moretti & Rodica Branzei & Henk Norde & Stef Tijs, 2004. "The P-value for cost sharing in minimum," Theory and Decision, Springer, vol. 56(1), pages 47-61, 04.
  4. Norde, H.W. & Moretti, S. & Tijs, S.H., 2001. "Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes," Discussion Paper 2001-18, Tilburg University, Center for Economic Research.
  5. Gustavo Bergantiños & Juan Vidal-Puga, 2003. "Additive rules in bankruptcy problems and other related problems," Game Theory and Information 0304001, EconWPA.
  6. 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.
  7. Moulin Herve & Shenker Scott, 1994. "Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison," Journal of Economic Theory, Elsevier, vol. 64(1), pages 178-201, October.
  8. repec:dgr:kubcen:1994106 is not listed on IDEAS
  9. Daniel Granot & Michael Maschler, 1998. "Spanning network games," International Journal of Game Theory, Springer, vol. 27(4), pages 467-500.
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