E. Calvo () (Departamento de AnÂlisis EconÕmico, Universidad de Valencia, Campus dels Tarongers, Avinguda dels Tarongers s/n, Edificio Departamental Oriental, 46022 Valencia, Spain Departamento de Economi´a Aplicada 1, Universidad del Pai´s Vasco/Euskal Herriko Unibertsitatea, Lehendakari Aguirre 83, 48015 Bilbao, Spain) Juan Carlos Santos () (Departamento de AnÂlisis EconÕmico, Universidad de Valencia, Campus dels Tarongers, Avinguda dels Tarongers s/n, Edificio Departamental Oriental, 46022 Valencia, Spain Departamento de Economi´a Aplicada 1, Universidad del Pai´s Vasco/Euskal Herriko Unibertsitatea, Lehendakari Aguirre 83, 48015 Bilbao, Spain)
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We introduce two new value solutions: weak semivalues and weighted weak semivalues. They are subfamilies of probabilistic values, and they appear by adding the axioms of balanced contributions and weighted balanced contributions respectively. We show that the effect of the introduction of these axioms is the appearance of consistency in the beliefs of players about the game.
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