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A new rule for source connection problems

delete2014-05-01
delete13
PRE
AI
G
Gustavo Bergantiños
M
María Gómez-Rúa *
N
Natividad Llorca
M
M. Pulido
J
Joaquı́n Sánchez-Soriano
DOI:10.1016/j.ejor.2013.09.047delete
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Abstract

Abstract

En 中文
In this paper we study situations where a group of agents require a service that can only be provided from a source, the so-called source connection problems. These problems contain the standard fixed tree, the classical minimum spanning tree and some other related problems such as the k-hop, the degree constrained and the generalized minimum spanning tree problems among others. Our goal is to divide the cost of a network among the agents. To this end, we introduce a rule which will be referred to as a painting rule because it can be interpreted by means of a story about painting. Some meaningful properties in this context and a characterization of the rule are provided. (C) 2013 Elsevier B.V. All rights reserved.
Keywords:
Game theory
Cost sharing
Source connection problems
Painting rule
Axiomatization

Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

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University of Murcia
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