DOI:10.1007/BF01240834 - Corpus ID: 118017018
The Shapley value in the non differentiate case
@article{Mertens1988TheSV, title={The Shapley value in the non differentiate case}, author={Jean-François Mertens}, journal={International Journal of Game Theory}, year={1988}, volume={17}, pages={1-65}, url={https://api.semanticscholar.org/CorpusID:118017018}}- J. Mertens
- Published1988
- Mathematics, Economics
- International Journal of Game Theory
The Shapley value is shown to exist even when there are essential non differentiabilities on the diagonal.
51 Citations
51 Citations
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Mathematics, Economics
The purpose of this chapter is to present an important solution concept for cooperative games, due to Lloyd S. Shapley (Shapley (1953)). In the first part, we will be looking at the transferable…
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Each agent in a finite set requests an integer quantity of an idiosyncratic good; the resulting total cost must be shared among the participating agents. The Aumann-Shapley prices are given by the…
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In this paper, a weaker version of the Symmetry Axiom on BV, and values on subspaces of BV are discussed. Included are several theorems and examples.
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A counter-example for the existence of the Shapley value of non-differentiable perfectly competitive Walrasian (i.e., pure exchange) economies is given. The model used is that of a non-atomic…
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We reconsider the following cost-sharing problem: agent i = 1, ...,n demands a quantity xi of good i; the corresponding total cost C(x1, ..., xn) must be shared among the n agents. The Aumann-Shapley…
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5 References
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The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of…
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Mathematics
An averaging process is used to reinterpret and then prove the diagonal formula for much larger spaces of games, including spaces in which the games cannot be considered differentiable and may even have jumps (e.g., voting games).
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