Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/248786 
Year of Publication: 
2021
Series/Report no.: 
Tinbergen Institute Discussion Paper No. TI 2021-104/II
Publisher: 
Tinbergen Institute, Amsterdam and Rotterdam
Abstract: 
In this paper, we study axiomatic foundations of the class of weighted division values. Firstly, while keeping efficiency, additivity and the nullifying player property from the original axiomatization of the equal division value, we consider relaxations of symmetry in line with Casajus (2019) to characterize the class of (positively) weighted division values. Secondly, we show that the class of weighted division values can also be characterized by replacing linearity in three axiomatizations of B'eal et al. (2016) with additivity. Finally, we show how strengthening an axiom regarding null, non-negative, respectively nullified players in these three axiomatizations, provides three axiomatizations of the class of positively weighted division values.
Subjects: 
cooperative game
weighted division values
axiomatization
sign properties
Document Type: 
Working Paper

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