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Minimum cost spanning tree games and population monotonic allocation schemes

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Author Info
Norde, H.
Moretti, S.
Tijs, S. (Tilburg University, Center for Economic Research)

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Abstract

In this paper we present the Subtraction Algorithm that computes for every classical minimum cost spanning tree game a population monotonic allocation scheme.As a basis for this algorithm serves a decomposition theorem that shows that every minimum cost spanning tree game can be written as nonnegative combination of minimum cost spanning tree games corresponding to 0-1 cost functions.It turns out that the Subtraction Algorithm is closely related to the famous algorithm of Kruskal for the

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 18.

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Date of creation: 2001
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Handle: RePEc:dgr:kubcen:200118

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December. [Downloadable!] (restricted)
  2. Moretti, S. & Norde, H. & Pham Do, K.H., 2001. "Connection problems in mountains and monotonic allocation schemes," Discussion Paper 12, Tilburg University, Center for Economic Research. [Downloadable!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Ciftci, B.B. & Tijs, S.H., 2007. "A Vertex Oriented Approach to Minimum Cost Spanning Tree Problems," Discussion Paper 2007-89, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 9(2), pages 139-199, December. [Downloadable!] (restricted)
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  3. Branzei, R. & Moretti, S. & Norde, H.W. & Tijs, S.H., 2003. "The p-value for cost sharing in minimum cost spanning tree situations," Discussion Paper 129, Tilburg University, Center for Economic Research. [Downloadable!]
  4. Gomez-Rua, Maria & Vidal-Puga, Juan, 2006. "No advantageous merging in minimum cost spanning tree problems," MPRA Paper 601, University Library of Munich, Germany. [Downloadable!]
  5. Dutta, Bhaskar & Mishra, Debasis, 2009. "Minimum Cost Arborescences," The Warwick Economics Research Paper Series (TWERPS) 889, University of Warwick, Department of Economics. [Downloadable!]
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  6. Stefano Moretti & Henk Norde & Kim Pham Do & Stef Tijs, 2002. "Connection problems in mountains and monotonic allocation schemes," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 10(1), pages 83-99, June. [Downloadable!] (restricted)
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  7. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Additivity in cost spanning tree problems," Game Theory and Information 0405001, EconWPA. [Downloadable!]
  8. Leticia Lorenzo & Silvia Lorenzo-Freire, 2009. "A characterization of Kruskal sharing rules for minimum cost spanning tree problems," International Journal of Game Theory, Springer, vol. 38(1), pages 107-126, March. [Downloadable!] (restricted)
  9. Tijs, Stef & Moretti, Stefano & Branzei, Rodica & Norde, Henk, 2005. "The Bird core for minimum cost spanning tree problems revisited: monotonicity and additivity aspects," Discussion Paper 3, Tilburg University, Center for Economic Research. [Downloadable!]
  10. Tijs, S.H. & Branzei, R. & Moretti, S. & Norde, H.W., 2004. "Obligation rules for minimum cost spanning tree situations and their monotonicity properties," Discussion Paper 53, Tilburg University, Center for Economic Research. [Downloadable!]
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  11. Jens Leth Hougaard & Hervé Moulin & Lars Peter Østerdal, 2008. "Decentralized Pricing in Minimum Cost Spanning Trees," Discussion Papers 08-24, University of Copenhagen. Department of Economics. [Downloadable!]
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