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- W2090848848 abstract "The “potential approach” to value theory for finite games was introduced by Hart and Mas-Colell Hart, S., A. Mas-Colell. 1989. Potential, value, and consistency. Econometrica57 589--614.. Here this approach is extended to non-atomic games. On appropriate spaces of differentiable games there is a unique potential operator, that generates the Aumann and Shapley Aumann, R. J., L. S. Shapley. 1974. Values of nonatomic games. Princeton University Press, Princeton, New Jersey. value. As a corollary we obtain the uniqueness of the Aumann-Shapley value on certain subspaces of games. Next, the potential approach is applied to the weighted case, leading to “weighted non-atomic values.” It is further shown that the asymptotic weighted value is well-defined, and that it coincides with the weighted value generated by the potential." @default.
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- W2090848848 date "1997-08-01" @default.
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- W2090848848 title "Potentials and Weighted Values of Nonatomic Games" @default.
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- W2090848848 doi "https://doi.org/10.1287/moor.22.3.619" @default.
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