Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes
AbstractIn 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 determination of minimum cost spanning trees.For variants of the classical minimum cost spanning tree games we show that population monotonic allocation schemes do not necessarily exist.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2001-18.
Date of creation: 2001
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Web page: http://center.uvt.nl
operational research; cost allocation; game theory;
Other versions of this item:
- Norde, Henk & Moretti, Stefano & Tijs, Stef, 2004. "Minimum cost spanning tree games and population monotonic allocation schemes," European Journal of Operational Research, Elsevier, vol. 154(1), pages 84-97, April.
- Norde, H.W. & Moretti, S. & Tijs, S.H., 2004. "Minimum cost spanning tree games and population monotonic allocation schemes," Open Access publications from Tilburg University urn:nbn:nl:ui:12-123753, Tilburg University.
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- 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.
- 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.
- Moretti, S. & Norde, H.W. & Pham Do, K.H. & Tijs, S.H., 2001. "Connection Problems in Mountains and Monotonic Allocation Schemes," Discussion Paper 2001-12, Tilburg University, Center for Economic Research.
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