Displaying similar documents to “A simple proof that determinacy implies Lebesgue measurability.”

A value based on marginal contributions for multi–alternative games with restricted coalitions

Satoshi Masuya, Masahiro Inuiguchi (2010)

Kybernetika

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This paper deals with cooperative games with n players and r alternatives which are called multi-alternative games. In the conventional multi-alternative games initiated by Bolger, each player can choose any alternative with equal possibilities. In actual social life, there exist situations in which players have some restrictions on their choice of alternatives. Considering such situations, we study restricted multi-alternative games. A value for a given game is proposed.

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...