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nite set of players, for which it has to be determined how much payof each player must receive. The core of an NTU … guarantee that the Shapley value, being the average of all marginal vectors of the game, is an element of the core. Convexity of … elements of the core. As solution concept for NTU-games we propose a set of solutions that is determined by the average of all …
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-building set. Properties of this solution are also studied. To establish core stability we introduce appropriate convexity …
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This paper analyzes a single-machine scheduling problem with family setup times both from an optimization and a cost allocation perspective. In a family sequencing situation jobs are processed on a single machine, there is an initial processing order on the jobs, and every job within a family...
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jobs. Using nonstandard techniques we prove that each family sequencing game has a non-empty core by showing that a … particular marginal vector belongs to the core. Finally, we specifically analyze the case in which the initial order is family …
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We consider cooperative transferable utility games, or simply TU-games, with a limited communication structure in which players can cooperate if and only if they are connected in the communication graph. A difference between the restricted Banzhaf value and the Myerson value (i.e. the Shapley...
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We generalize the null player property (satisfied by the Shapley value) and nullifying player property (satisfied by the equal division solution) to the so-called delta-reducing player property, stating that a delta-reducing player (being a player such that any coalition containing this player...
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A situation in which a finite set of agents can generate certain payoffs by cooperation can be described by a cooperative game with transferable utility (or simply a TU-game) where each agent is represented by one player in the game. In this paper, we assume that one agent can be represented by...
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