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On obligation rules for minimum cost spanning tree problems

  • Bergantiños, Gustavo
  • Kar, Anirban

Tijs et al. (2006) introduce the family of obligation rules in minimum cost spanning tree problems. We prove that obligation rules are closely related with the marginalistic values of the irreducible game. We also provide axiomatic characterizations of obligation rules with two basic monotonicity properties, namely population monotonicity (if new agents join a "society", no agent from the "initial society" can be worse off) and strong cost monotonicity (if a number of connection costs increase, no agent can be better off). In this class, the folk rule is the only allocation rule satisfying equal treatment of equals.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 69 (2010)
Issue (Month): 2 (July)
Pages: 224-237

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Handle: RePEc:eee:gamebe:v:69:y:2010:i:2:p:224-237
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Gustavo Bergantiños & Juan Vidal-Puga, 2007. "The optimistic TU game in minimum cost spanning tree problems," International Journal of Game Theory, Springer, vol. 36(2), pages 223-239, October.
  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, .
  3. 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.
  4. Tijs, S.H. & Brânzei, R. & Moretti, S. & Norde, H.W., 2004. "Obligation Rules for Minimum Cost Spanning Tree Situations and their Monotonicity Properties," Discussion Paper 2004-53, Tilburg University, Center for Economic Research.
  5. Gustavo Bergantiños & Leticia Lorenzo & Silvia Lorenzo-Freire, 2010. "The family of cost monotonic and cost additive rules in minimum cost spanning tree problems," Social Choice and Welfare, Springer, vol. 34(4), pages 695-710, April.
  6. repec:ner:tilbur:urn:nbn:nl:ui:12-123753 is not listed on IDEAS
  7. Gustavo Bergantiños & Silvia Lorenzo-Freire, 2008. "A characterization of optimistic weighted Shapley rules in minimum cost spanning tree problems," Economic Theory, Springer, vol. 35(3), pages 523-538, June.
  8. Brânzei, R. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2003. "The P-Value for Cost Sharing in Minimum Cost Spanning Tree Situations," Discussion Paper 2003-129, Tilburg University, Center for Economic Research.
  9. Norde, H.W. & Moretti, S. & Tijs, S.H., 2004. "Minimum cost spanning tree games and population monotonic allocation schemes," Other publications TiSEM bcaf99d7-5b94-437f-a89c-d, School of Economics and Management.
  10. 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.
  11. Gustavo Bergantiños & Juan Vidal-Puga, 2005. "A fair rule in minimum cost spanning tree problems," Game Theory and Information 0504001, EconWPA.
  12. Bergantiños, Gustavo & Vidal-Puga, Juan, 2009. "Additivity in minimum cost spanning tree problems," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 38-42, January.
  13. Bergantinos, Gustavo & Lorenzo-Freire, Silvia, 2008. ""Optimistic" weighted Shapley rules in minimum cost spanning tree problems," European Journal of Operational Research, Elsevier, vol. 185(1), pages 289-298, February.
  14. repec:ner:tilbur:urn:nbn:nl:ui:12-142598 is not listed on IDEAS
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