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A note on decisive symmetric games

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10.1016/j.dss.2010.10.005
 
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Carreras Escobar, FranciscoMés informacióMés informació
Freixas Bosch, JosepMés informacióMés informacióMés informació
Puente del Campo, María AlbinaMés informacióMés informacióMés informació
Document typeArticle
Defense date2011
Rights accessRestricted access - publisher's policy
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
Binary voting systems, usually represented by simple games, constitute a main DSS topic. A crucial feature of such a system is the easiness with which a proposal can be collectively accepted, which is measured by the “decisiveness index” of the corresponding game. We study here several functions related to the decisiveness of any simple game. The analysis, including the asymptotic behavior as the number n of players increases, is restricted to decisive symmetric games and their compositions, and it is assumed that all players have a common probability p to vote for the proposal. We show that, for n large enough, a small variation, either positive or negative, in p when p=1/2 takes the decisiveness to quickly approach, respectively, 1 or 0. Moreover, we analyze the speed of the decisiveness convergence.
CitationCarreras, F.; Freixas, J.; Puente, M.A. A note on decisive symmetric games. "Decision support systems", 2011, vol. 51, núm. 3, p. 424-433. 
URIhttp://hdl.handle.net/2117/13512
DOI10.1016/j.dss.2010.10.005
ISSN0167-9236
Publisher versionhttp://www.sciencedirect.com/science/article/pii/S0167923611000339
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