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Some properties for probabilistic and multinomial (probabilistic) values on cooperative games
Authors:Margarita Domènech  José Miguel Giménez
Affiliation:Department of Mathematics and Engineering School of Manresa, Technical University of Catalonia, Manresa, .
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.
Keywords:TU cooperative game  probabilistic value  multinomial value  semivalue  regularity
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