Some properties for probabilistic and multinomial (probabilistic) values on cooperative games

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. Moreove...

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Veröffentlicht in:	Optimization 2016-07, Vol.65 (7), p.1377-1395
Hauptverfasser:	Domènech, Margarita, Giménez, José Miguel, Puente, María Albina
Format:	Artikel
Sprache:	eng
Schlagworte:	91 Game theory, economics, social and behavioral sciences 91A Game theory Classificació AMS Cooperative games (Mathematics) Deciseness Index Investigació operativa Jocs cooperatius (Matemàtica) Matemàtiques i estadística Multinomial value Optimization algorithms Probabilistic value Probability Regularity semivalue Semivalues Teoria de jocs TU cooperative game Àrees temàtiques de la UPC
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Beschreibung
Zusammenfassung:	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.
ISSN:	0233-1934 1029-4945
DOI:	10.1080/02331934.2016.1147035