On a dynamic theory for the kernel of ann-person game |
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Authors: | Prof L J Billera Dr L S -Y Wu |
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Institution: | 1. Cornell University, 14850, Ithaca, N.Y., USA 2. IBM Thomas J. Watson Research Center, 10598, Yorktown Heights, N.Y., USA
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Abstract: | In this paper, a dynamic theory for the kernel ofn-person games given byBillera is studied. In terms of the (bargaining) trajectories associated with a game (i.e. solutions to the differential equations defined by the theory), an equivalence relation is defined. The “consistency” of these equivalence classes is examined. Then, viewing the pre-kernel as the set of equilibrium points of this system of differential equations, some topological, geometric, symmetry and stability properties of the pre-kernel are given. |
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