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study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods …Lloyd Shapley is considered one of the pioneers of game theory. His most prominent contributions are the inception and … of market economies. His contributions to non-cooperative game theory include the introduction of stochastic games …
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The results are presented from several experiments. They include the selection of points in the core, interpersonal …
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This article describes the basic elements of the cooperative approach to game theory, one of the two counterparts of … the discipline. After the presentation of some basic definitions, the focus will be on the core and the Shapley value, two … of the most central solution concepts in cooperative game theory. …
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The Shapley value of a cooperative transferable utility game distributes the dividendof each coalition in the game equally among its members. Given exogenous weightsfor all players, the corresponding weighted Shapley value distributes the dividendsproportionally to their weights. In this...
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games are subadditive butgenerally not concave, and have a nonempty core. We characterize the core and compute …
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Ordinarily, the process of decision making by a committee through voting is mod-elled by a monotonic game the range of whose characteristic function is restricted tof0; 1g: The decision rule that governs the collective action of a voting body induces ahierarchy in the set of players in terms of...
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