Titlebook: Introduction to the Theory of Cooperative Games; Bezalel Peleg,Peter Sudhölter Book 2007Latest edition Springer-Verlag Berlin Heidelberg 2

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Geometric Properties of the ,-Core, Kernel, and Prekernellitional game and study some of its geometric properties. The least-core of a game is the minimum nonempty .-core. The individual rationality and reasonableness of the least-core are investigated in Section 7.2. In Section 7.3 we prove some basic results on the set of all reasonable payoff vectors o

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The Shapley Valuevery “prospect” that might arise as a result of a play. In attempting to apply the theory to any field, one would normally expect to be permitted to include, in the class of “prospects”, the prospect of having to play a game. The possibility of evaluating the game is therefore of critical importance