An axiomatic approach in minimum cost spanning tree problems with groups
 Gustavo Bergantiños,
 María GómezRúa
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Abstract
We study minimum cost spanning tree problems with groups, where agents are located in different villages, cities, etc. The groups are formed by agents living in the same village. In Bergantiños and GómezRúa (Economic Theory 43:227–262, 2010) we define the rule F as the Owen value of the irreducible game with groups and we prove that F generalizes the folk rule of minimum cost spanning tree problems. Bergantiños and VidalPuga (Journal of Economic Theory 137:326–352, 2007a) give two characterizations of the folk rule. In the first one they characterize it as the unique rule satisfying cost monotonicity, population monotonicity and equal share of extra costs. In the second characterization of the folk rule they replace cost monotonicity by independence of irrelevant trees and population monotonicity by separability. In this paper we extend such characterizations to our setting. Some of the properties are the same (cost monotonicity and independence of irrelevant trees) and the other need to be adapted. In general, we do it by claiming the property twice: once among the groups and the other among the agents inside the same group.
Inside
Within this Article
 Introduction
 The problem
 Minimum cost spanning tree problems with groups
 Characterization
 Concluding remarks
 References
 References
Other actions
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 Title
 An axiomatic approach in minimum cost spanning tree problems with groups
 Journal

Annals of Operations Research
 DOI
 10.1007/s104790121251x
 Print ISSN
 02545330
 Online ISSN
 15729338
 Publisher
 Springer US
 Additional Links
 Topics
 Keywords

 Minimum cost spanning tree problems
 Folk rule
 Cost sharing
 Axiomatization
 Industry Sectors
 Authors

 Gustavo Bergantiños ^{(1)}
 María GómezRúa ^{(1)}
 Author Affiliations

 1. Facultad de Economía, Campus LagoasMarcosende, s/n, Universidade de Vigo, Vigo, Pontevedra, Spain