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RESEARCH PRODUCT

Weighted weak semivalues

Juan Carlos SantosEmilio Calvo

subject

Statistics and ProbabilityEconomics and EconometricsMathematics (miscellaneous)Consistency (statistics)Probabilistic logicStatistics Probability and UncertaintyMathematical economicsValue (mathematics)Social Sciences (miscellaneous)AxiomProbabilistic values semivalues weighted Shapley valuesMathematics

description

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.

yearjournalcountryeditionlanguage
2000-02-17International Journal of Game Theory
https://doi.org/10.1007/s001820050001