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Shapley Value Essays in Honor of Lloyd S. Shapley

ISBN-10: 0521021332

ISBN-13: 9780521021333

Edition: 2005

Authors: Alvin E. Roth

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Description:

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.
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Book details

Copyright year: 2005
Publisher: Cambridge University Press
Publication date: 10/20/2005
Binding: Paperback
Pages: 340
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.100
Language: English

Preface
Introduction to the Shapley value
Ancestral Papers
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
Coalitions
Coalitional value
Endogenous formation of links between players and the coalitions: an application of the Shapley value
Large Games
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
NTU Games
Utility comparison and the theory of games
Paths leading to the Nash set