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Interval games are an extension of cooperative coalitional games, in which players are assumed to face payoff uncertainty. Characteristic functions thus assign a closed interval instead of a real number. This study revisits two interval game versions of Shapley values (i.e., the interval Shapley...
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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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rise to lower and upper bounds for the core payoff vectors and, using these bounds, we define the weighted super core as a … polyhedron that contains the core. It turns out that the least square values can be seen as a center of this weighted super core …, giving a third new characterization of the least square values. Finally, these lower and upper bounds for the core inspire us …
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