The Shapley value: essays in honor of Lloyd S. ShapleyAlvin E. Roth Cambridge University Press, 28. 10. 1988 - Počet stran: 330 Composed in honor of the 65th birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. |
Obsah
1 Introduction to the Shapley value | 1 |
l Ancestral papers | 29 |
II Reformulations and generalizations | 49 |
III Coalitions | 153 |
IV Large games | 193 |
V Cost allocation and fair division | 265 |
VI NTU games | 305 |
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The Shapley Value: Essays in Honor of Lloyd S. Shapley Alvin E. Roth Náhled není k dispozici. - 2005 |
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ASPM assume assumptions Aumann Aumann-Shapley price axiom axiomatic Banzhaf index carrier chapter characteristic function characterization coalition structure consider consistency convex convex set Cooperative Games core cost allocation cost functions defined denote Dubey dummy Econometrica Economic efficient example expected utility feasible finite follows game N,v Game Theory graph Hence implies individual Lemma linear marginal contribution measure Mirman monotonic n-Person Games Nash point neutral to ordinary Neyman nonempty nonnegative NTU games null player ordinary risk outcome P₁ payoff positive power indices price mechanism Princeton production Proof Proposition result risk neutrality Samet Shapley value Shapley-Shubik Shapley's Shubik simple games solution concepts strategic risk subset superadditive symmetric Tauman TC N\i Theorem Theory of Games tion unique utility function Value Theory vector von Neumann-Morgenstern solutions voter voting weight system weighted Shapley values winning coalition x₁ µ(dt