Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/311608 
Year of Publication: 
2024
Series/Report no.: 
Tinbergen Institute Discussion Paper No. TI 2024-076/II
Publisher: 
Tinbergen Institute, Amsterdam and Rotterdam
Abstract: 
Simple games in partition function form are used to model voting situations where a coalition being winning or losing might depend on the way players outside that coalition organize themselves. Such a game is called a plurality voting game if in every partition there is at least one winning coalition. In the present paper, we introduce a power index for this class of voting games and provide an axiomatic characterization. This power index is based on equal weight for every partition, equal weight for every winning coalition in a partition, and equal weight for each player in a winning coalition. Since some of the axioms we develop are conditioned on the power impact of losing coalitions becoming winning in a partition, our characterization heavily depends on a new result showing the existence of such elementary transitions between plurality voting games in terms of single embedded winning coalitions. The axioms restrict then the impact of such elementary transitions on the power of di§erent types of players.
Subjects: 
axiomatization
power index
plurality game
winning coalition
JEL: 
C71
D62
D72
Document Type: 
Working Paper

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