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Authors: Francesc Carreras 1 and María Albina Puente 2

Affiliations: 1 Technical University of Catalonia, Spain ; 2 Thecnical University of Catalunya, Spain

Keyword(s): Cooperative Game, Shapley Value, Probabilistic Value, Binomial Semivalue.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Artificial Intelligence and Decision Support Systems ; Computational Intelligence ; Enterprise Information Systems ; Evolutionary Computing ; Game Theory Applications ; Group Decision Support Systems ; Soft Computing

Abstract: Multinomial probabilistic values were first introduced by one of us in reliability and later on by the other, independently, as power indices. Here we study them on cooperative games from several viewpoints, and especially as a powerful generalization of binomial semivalues. We establish a dimensional comparison between multinomial values and binomial semivalues and provide two characterizations within the class of probabilistic values: one for each multinomial value and another for the whole family. An example illustrates their use in practice as power indices.

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Paper citation in several formats:
Carreras, F. and Puente, M. (2013). Cooperation Tendencies and Evaluation of Games. In Proceedings of the 15th International Conference on Enterprise Information Systems - Volume 3: ICEIS; ISBN 978-989-8565-59-4; ISSN 2184-4992, SciTePress, pages 415-422. DOI: 10.5220/0004414104150422

@conference{iceis13,
author={Francesc Carreras. and María Albina Puente.},
title={Cooperation Tendencies and Evaluation of Games},
booktitle={Proceedings of the 15th International Conference on Enterprise Information Systems - Volume 3: ICEIS},
year={2013},
pages={415-422},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004414104150422},
isbn={978-989-8565-59-4},
issn={2184-4992},
}

TY - CONF

JO - Proceedings of the 15th International Conference on Enterprise Information Systems - Volume 3: ICEIS
TI - Cooperation Tendencies and Evaluation of Games
SN - 978-989-8565-59-4
IS - 2184-4992
AU - Carreras, F.
AU - Puente, M.
PY - 2013
SP - 415
EP - 422
DO - 10.5220/0004414104150422
PB - SciTePress

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