Obligation rules for minimum cost spanning tree situations and their monotonicity properties
Tijs, Stef; Branzei, Rodica; Moretti, Stefano; Norde, Henk (2006), Obligation rules for minimum cost spanning tree situations and their monotonicity properties, European Journal of Operational Research, 175, 1, p. 121-134. http://dx.doi.org/10.1016/j.ejor.2005.04.036
TypeArticle accepté pour publication ou publié
Journal nameEuropean Journal of Operational Research
MetadataShow full item record
Abstract (EN)We consider 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.
Subjects / KeywordsCost allocation; Minimum cost spanning tree situations; Cost monotonicity; Population monotonic allocation schemes
Showing items related by title and author.