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- W3217426941 abstract "We study the efficient computation of power indices for weighted voting games with precoalitions amongst subsets of players (reflecting, e.g., ideological proximity) using the paradigm of dynamic programming. Starting from the state-of-the-art algorithms for computing the Banzhaf and Shapley-Shubik indices for weighted voting games we present a framework for fast algorithms for the three most common power indices with precoalitions, i.e. the Owen index, the Banzhaf-Owen index and the Symmetric Coalitional Banzhaf index, and point out why our new algorithms are applicable for large numbers of players. We discuss implementations of our algorithms for the three power indices with precoalitions in C++ and review computing times as well as storage requirements." @default.
- W3217426941 created "2021-12-06" @default.
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- W3217426941 date "2021-11-25" @default.
- W3217426941 modified "2023-09-24" @default.
- W3217426941 title "Dynamic Programming for Computing Power Indices for Weighted Voting Games with Precoalitions" @default.
- W3217426941 doi "https://doi.org/10.20944/preprints202111.0462.v1" @default.
- W3217426941 hasPublicationYear "2021" @default.
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