Compound voting and the Banzhaf index
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Cited by (23)
Probabilistic Owen-Shapley spatial power indices
2022, Games and Economic BehaviorCitation Excerpt :The whole family is characterized by adding one axiom: a continuity axiom. The first is equivalent to the transfer axiom of Dubey (1975), as remarked in Dubey et al. (2005). Therefore, the presence of a dummy player does not affect the power of the other players; and the power of a dummy player is zero.
The power of agents in a dispersed system – The Shapley-Shubik power index
2021, Journal of Parallel and Distributed ComputingCitation Excerpt :A transfer property: the change in power depends only on the change in the voting game. In other words, if we have two pairs of simple games with the same set of players and the transitions from one game to another in one pair entail adding the same set of winning coalitions, then the differences of the power index values within both pairs of games are equal [12]. A mergeability property: power in a merged game that is a component from two games is a weighted mean of power in these games, with the weights equal to the number of minimal winning coalitions in each component game.
The vertex cover game: Application to transport networks
2020, Omega (United Kingdom)The axiom of equivalence to individual power and the Banzhaf index
2018, Games and Economic BehaviorIndirect control and power in mutual control structures
2015, Games and Economic BehaviorThe Banzhaf index in complete and incomplete shareholding structures: A new algorithm
2011, European Journal of Operational Research