Obligation rules for minimum cost spanning tree situations and their monotonicity properties
We introduce the class of Obligation rules for minimum cost spanning tree situations.The main result of this paper is that such rules are cost monotonic and induce also population monotonic allocation schemes.Another characteristic of Obligation rules is that they assign to a minimum cost spanning tree situation a vector of cost contributions which can be obtained as product of a double stochastic matrix with the cost vector of edges in the optimal tree provided by the Kruskal algorithm.It turns out that the Potters value (P-value) is an element of this class.
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"Connection Problems in Mountains and Monotonic Allocation Schemes,"
2001-12, Tilburg University, Center for Economic Research.
- 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;Sociedad de Estadística e Investigación Operativa, vol. 10(1), pages 83-99, June.
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- Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Additivity in cost spanning tree problems," Game Theory and Information 0405001, EconWPA.
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