On the symmetric and weighted shapley values

Y. Chun

doi:10.1007/bf01240278

journal article Jun 01, 1991

On the symmetric and weighted shapley values

Y. Chun

International Journal of Game Theory Vol. 20 No. 2 pp. 183-190 · Springer Science and Business Media LLC

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References

11

[1]

Chun Y (1989) A New Axiomatization of the Shapley Value, Games and Economic Behavior 1, 119?130. 10.1016/0899-8256(89)90014-6

[2]

Hart S, Mas-Colell A (1989) Potential, Value, and Consistency, Econometrica 57, 589?614. 10.2307/1911054

[3]

Kalai E, Samet D (1987) On Weighted Shapley Values, International Journal of Game Theory 16, 205?222. 10.1007/bf01756292

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Levy A, McLean RP (1989) Weighted Coalition Structure Values, Games and Economic Behavior 1, 234?249. 10.1016/0899-8256(89)90011-0

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Roth AE (1977) The Shapley Value as a von Neumann-Morgenstern Utility, Econometrica 45, 657?664. 10.2307/1911680

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Roth AE (ed.) (1988) The Shapley Value: Essays in Honor of Lloyd S. Shapley, Cambridge University Press, New York.

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Shapley LS (1953a) Additive and Non-Additive Set Functions, Ph. D. Thesis, Department of Mathematics, Princeton University.

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Shapley LS (1953b) A Value for n-Person Games, in Contributions to the Theory of Games II, Annals of Mathematics Studies No. 28, Kuhn HW, Tucker AW eds., Princeton University Press, Princeton, New Jersey, 307?317.

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Shapley LS (1981) Discussant's Comment, in Joint Cost Allocation, Moriarity S ed., University of Oklahoma Press, Tulsa.

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Weber RJ (1988) Probabilistic Values for Games, in The Shapley Value: Essays in Honor of Lloyd S. Shapley, Roth AE ed., Cambridge University Press, New York, 101?119. 10.1017/cbo9780511528446.008

[11]

Young HP (1985) Monotonic Solutions of Cooperative Games, International Journal of Game Theory 14, 65?72. 10.1007/bf01769885

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Details

Published: Jun 01, 1991
Vol/Issue: 20(2)
Pages: 183-190
License: View

Authors

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Y. Chun

Cite This Article

Y. Chun (1991). On the symmetric and weighted shapley values. International Journal of Game Theory, 20(2), 183-190. https://doi.org/10.1007/bf01240278

On the symmetric and weighted shapley values

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