Some properties for probabilistic and multinomial (probabilistic) values on cooperative games. (2nd July 2016)

• Record Type: Journal Article
• Authors: Domènech, Margarita; Giménez, José Miguel; Puente, María Albina
• Is Part Of: Optimization. Volume 65:Number 7(2016)
• Page Start: 1377
• Page End: 1395
• Publication Date: 2016-07-02
• Subjects: TU cooperative game -- probabilistic value -- multinomial value -- semivalue -- regularity; 91A12; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2016.1147035
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : We investigate the conditions for the coefficients of probabilistic and multinomial values of cooperative games necessary and/or sufficient in order to satisfy some properties, including marginal contributions, balanced contributions, desirability relation and null player exclusion property. Moreover, a similar analysis is conducted for transfer property of probabilistic power indices on the domain of simple games.