Shapley Value Essays in Honor of Lloyd S. Shapley
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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.
Copyright year: 2005
Publisher: Cambridge University Press
Publication date: 10/20/2005
Size: 6.00" wide x 9.00" long x 1.00" tall
|Introduction to the Shapley value|
|A value for n-person games|
|A method for evaluating the distribution of power in a committee system|
|Reformulation and Generalizations|
|The expected utility of playing a game|
|The Shapley-Shubik and Banzhaf power indices as probabilities|
|Weighted Shapley values|
|Probabilistic values for games|
|Combinatorial representations of the Shapley value based on average relative payoffs|
|The potential of the Shapley value|
|Multilinear extensions of games|
|Endogenous formation of links between players and the coalitions: an application of the Shapley value|
|Values of large finite games|
|Payoffs in nonatomic economics: an axiomatic approach|
|Values of smooth nonatomic games: the method of multilinear approximation|
|Nondifferentiable TU markets: the value|
|Cost Allocation and Fair Division|
|Individual contribution and just compensation|
|The Aumann-Shapley prices: a survey|
|Utility comparison and the theory of games|
|Paths leading to the Nash set|