On the Coalitional Rationality of the Shapley Value and Other Efficient Values of Cooperative TU Games

Irinel Dragan^{*}

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References

[1] Owen, G. (1995) Game Theory. 2nd Edition, Academic Press, New York.

[2] Shapley, L.S. (1953) A Value for n-Person Games. Annals of Mathematics Studies, No. 28, 307-317.

[3] Dragan, I. (1991) The Potential Basis and the Weighted Shapley Value. Libertas Mathematica, 12, 139-146.

[4] Ruiz, L., Valenciano, F. and Zarzuelo, J. (1998) The Least Square Prenucleolus and the Least Square Nucleolus, Two Values for TU Games Based upon the Excess Vector. IJGT, 25, 113-134.

[5] Keane, M. (1969) Some Topics in n-Person Game Theory. Ph.D. Thesis, Northwestern University, Evanston.

[6] Dragan, I. (2006) The Least Square Value and the Shapley Value for Cooperative TU Games. Top, 14, 61-73.

http://dx.doi.org/10.1007/BF02579002