The Shapley Value : Essays in Honor of Lloyd S. Shapley
Composed in honour of the sixty-fifth 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. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining the value; Chapter 3 is the 1954 paper by Shapley and Shubik applying the value to voting models; and chapter 19 is Shapley's 1969 paper defining a value for games without transferable utility. The other seventeen chapters were contributed especial
eBook, English, 1988
Cambridge University Press, Cambridge, 1988
1 online resource (340 pages)
9780511528446, 9780521361774, 9780521021333, 0511528442, 052136177X, 0521021332
776978976
Print version:
Cover
Half-title
Title
Copyright
Contents
Preface
1 Introduction to the Shapley value
l Ancestral papers
2 A value for n-person games
3 A method for evaluating the distribution of power in a committee system
II Reformulations and generalizations
4 The expected utility of playing a game
5 The Shapley-Shubik and Banzhaf power indices as probabilities
6 Weighted Shapley values
7 Probabilistic values for games. 8 Combinatorial representations of the Shapley value based on average relative payoffs
9 The potential of the Shapley value
10 Multilinear extensions of games
III Coalitions
11 Coalitional value
12 Endogenous formation of links between players and of coalitions: an application of the Shapley value
IV Large games
13 Values of large finite games
14 Payoffs in nonatomic economies: an axiomatic approach
15 Values of smooth nonatomic games: the method of multilinear approximation
16 Nondifferentiable TU markets: the value. V Cost allocation and fair division
17 Individual contribution and just compensation
18 The Aumann-Shapley prices: a survey
VI NTU games
19 Utility comparison and the theory of games
20 Paths leading to the Nash set
Title from publishers bibliographic system (viewed on 22 Dec 2011)
doi.org Connect to e-book
www.survey.bris.ac.uk We have trial access to this e-book until 31/7/2012 through our Cambridge Books Online trial of over 12,000 titles. Please tell us if you would like to recommend continued access to it
0-dx.doi.org.lib.exeter.ac.uk Available via Cambridge Books Online. Please log in using your Exeter IT login, if prompted.
0-dx-doi-org.oasis.unisa.ac.za View full-text e-book at Cambridge University Press. <BR> Access restricted to Unisa staff and students
doi.org Full-text