Dynamic Programming for Computing Power Indices for Weighted Voting Games with Precoalitions

Autor:	Jochen Staudacher, Felix Wagner, Jan Filipp
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	cooperative game theory power indices weighted voting games dynamic programming precoalitions Shapley value Technology Social Sciences
Zdroj:	Games, Vol 13, Iss 1, p 6 (2021)
Druh dokumentu:	article
ISSN:	2073-4336
DOI:	10.3390/g13010006
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a3d6eaf64dac418cb9fa587cafdad54f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.