Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction to the Shapley value
- I Ancestral papers
- 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
- IV Large games
- V Cost allocation and fair division
- VI NTU games
10 - Multilinear extensions of games
Published online by Cambridge University Press: 13 October 2009
- Frontmatter
- Contents
- Preface
- 1 Introduction to the Shapley value
- I Ancestral papers
- 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
- IV Large games
- V Cost allocation and fair division
- VI NTU games
Summary
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- Type
- Chapter
- Information
- The Shapley ValueEssays in Honor of Lloyd S. Shapley, pp. 139 - 152Publisher: Cambridge University PressPrint publication year: 1988
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