Weighted and Restricted Deegan-Packel Power Indices
نویسندگان
چکیده
منابع مشابه
Computation of several power indices by generating functions
In this paper we propose methods to compute the Deegan-Packel, the Public Good, and the Shift power indices by generating functions for the particular case of weighted voting games. Furthermore, we define a new power index which combines the ideas of the Shift and the Deegan-Packel power indices and also propose a method to compute it with generating functions. We conclude by some comments abou...
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The splitting of weights into smaller sizes by agents in a weighted voting game and the distribution of the new weights among several false identities with the intent of payoff or power increase in a new game consisting of the original agents as well as the false identities is called false name manipulation. In this paper, we study false name manipulations in weighted voting games focusing on t...
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Weighted voting games allow for studying the distribution of power between agents in situations of collective decision making. While the conventional version of these games assumes that any agent is always ready to cooperate with all others, recently, more involved models have been proposed, where cooperation is subject to restrictions. Following Myerson [1977], such restrictions are typically ...
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Johnston (1978), Deegan and Packel (1979), and Holler (1982) proposed three power indices for simple games: Johnston index, Deegan-Packel index, and the Public Good Index. In this paper, methods to compute these indices by means of the multilinear extension of the game are presented. Furthermore, a new characterization of the Public Good Index is given. Our methods are applied to two real-world...
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Power indices of weighted majority games are measures of the effects of parties on the voting in a council. Among the many kinds of power indices, Banzhaf index, Shapley-Shubik index and Deegan-Packel index have been studied well. For computing these power indices, dynamic programming algorithms had been proposed. The time complexities of these algorithms are O(nq), O(nq), and O(nq), respective...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2020
ISSN: 1556-5068
DOI: 10.2139/ssrn.3713983