Displaying similar documents to “The Axiom of Determinateness and canonical measures”

New axiomatizations of values of TU-games using reduction properties

Andrzej Młodak (2013)

Applicationes Mathematicae

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We propose new axiomatizations of values of cooperative games where traditional properties connected with special players (dummy, null or zero) are replaced with weaker properties relating to such participants of the game. We assume that the change of payoff of a player when combining the game with another game where this player is special is constant. Using such axioms with an additional assumption that a value is odd and-if necessary-the fairness axioms holds, one can obtain axiomatizations...

On convex combinations of two values

Andrzej Nowak, Tadeusz Radzik (1996)

Applicationes Mathematicae

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We study values for cooperative TU-games which are convex combinations of the Shapley value and the solidarity value, introduced in our recent paper [1]. First, we axiomatize the convex combination of the two values in the case when the coefficients are given exogenously. Next, we give an axiomatic description of the whole family of such values.