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A probabilistic unified approach for power indices in simple games

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10.1007/978-3-662-60555-4_11
 
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hdl:2117/175449

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Freixas Bosch, JosepMés informacióMés informacióMés informació
Pons Vallès, MontserratMés informacióMés informació
Document typePart of book or chapter of book
Defense date2019-11-01
PublisherSpringer
Rights accessOpen Access
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
ProjectASPECTOS MATEMATICOS, COMPUTACIONALES Y SOCIALES EN CONTEXTOS DE VOTACION Y DE COOPERACION. (MINECO-MTM2015-66818-P)
Abstract
Many power indices on simple games have been defined trying to measure, under different points of view, the “a priori” importance of a voter in a collective binary voting scenario. A unified probabilistic way to define some of these power indices is considered in this paper. We show that six well-known power indices are obtained under such a probabilistic approach. Moreover, some new power indices can naturally be obtained in this way.
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The final publication is available at Springer via https://doi.org/10.1007/978-3-662-60555-4_11
CitationFreixas, J.; Pons, M. A probabilistic unified approach for power indices in simple games. A: "Transactions on computational collective intelligence XXXIV". Berlín: Springer, 2019 (Lecture Notes in Computer Science; 11890), p. 162-170. 
URIhttp://hdl.handle.net/2117/175449
DOI10.1007/978-3-662-60555-4_11
ISBN978-3-662-60555-4
Publisher versionhttps://link.springer.com/book/10.1007/978-3-662-60555-4
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  • Departament de Matemàtiques - Capítols de llibre [186]
  • GRTJ - Grup de Recerca en Teoria de Jocs - Capítols de llibre [10]
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