Paper Info
Title
A decomposition of the space of TU-games using addition and transfer invariance.
Abstract
In Béal et al. (forthcoming) two new axioms of invariance, called Addition invariance and Transfer invariance respectively, are introduced to design allocation rules for TU-games. Here, we derive direct-sum decompositions of the linear space of TU-games by using the TU-games selected to construct the operations of Addition and Transfer. These decompositions allow us to recover previous characterization results obtained by Béal et al. (forthcoming), to provide new characterizations of well-known (class of) allocation rules and also to design new allocation rules.
Year
DOI
Venue
2015
10.1016/j.dam.2014.12.019
Discrete Applied Mathematics
Keywords
Field
DocType
Addition invariance,Transfer invariance,Direct-sum decomposition,Allocation rules
Discrete mathematics,Combinatorics,Invariant (physics),Axiom,Linear space,Game theory,Mathematics
Journal
Volume
Issue
ISSN
184
C
0166-218X
Citations 
PageRank 
References 
3
0.48
12
Authors
3
Name
Order
Citations
PageRank
Sylvain Béal17012.23
Eric Rémila232945.22
Philippe Solal37914.55