A decomposition of the space of TU-games using addition and transfer invariance

作者：Beal Sylvain; Remila Eric; Solal Philippe

来源：Discrete Applied Mathematics, 2015, 184: 1-13.

DOI：10.1016/j.dam.2014.12.019

• Addition invariance
• Transfer invariance
• Direct-sum decomposition
• Allocation rules

In Beal 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 Beal et al. (forthcoming), to provide new characterizations of well-known (class of) allocation rules and also to design new allocation rules.

• 出版日期2015-3-31