Obligation rules for minimum cost spanning tree situations and their monotonicity properties

Obligation rules for minimum cost spanning tree situations and their monotonicity properties

0.00 Avg rating0 Votes
Article ID: iaor20084044
Country: Netherlands
Volume: 175
Issue: 1
Start Page Number: 121
End Page Number: 134
Publication Date: Nov 2006
Journal: European Journal of Operational Research
Authors: , , ,
Keywords: game theory
Abstract:

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.

Reviews

Required fields are marked *. Your email address will not be published.