Coalitional multinomial probabilistic values

Francesc Carreras and María Albina Puente

European Journal of Operational Research, 2015, vol. 245, issue 1, 236-246

Abstract: We introduce a new family of coalitional values designed to take into account players’ attitudes with regard to cooperation. This new family of values applies to cooperative games with a coalition structure by combining the Shapley value and the multinomial probabilistic values, thus generalizing the symmetric coalitional binomial semivalues. Besides an axiomatic characterization, a computational procedure is provided in terms of the multilinear extension of the game and an application to the Catalonia Parliament, Legislature 2003–2007, is shown.

Keywords: Cooperative game; Shapley value; Multinomial probabilistic value; Coalition structure; Multilinear extension (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:245:y:2015:i:1:p:236-246

DOI: 10.1016/j.ejor.2015.02.017

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