Axiomatizations of the normalized Banzhaf value and the Shapley value

Social Choice and Welfare

Volumn 15, Issue 4, 1998, Pages 567-582

  Van Den Brink, René ^a   Van Der Laan, Gerard ^b  

^a TILBURG UNIVERSITY   (Netherlands)

^b VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032346333     PISSN: 01761714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003550050125     Document Type: Article

References (11)

1. Banzhaf, J.F. (1965) Weighted Voting Doesn't Work: A Mathematical Analysis. Rutgers Law Rev. 19:317-343
2. Brink, R. van den (1995) An Axiomatization of the Shapley Value Using Component Efficiency and Fairness. TI Discussion Paper 8-95-249, Free University, Amsterdam
3. Derks, J., Haller H. (1994) Null Players Out? Working Paper, University of Limburg, Maastricht
4. Dubey, P., Shapley L.S. (1979) Mathematical Properties of the Banzhaf Power Index. Math. Oper. Res. 4:99-131
5. Haller, H. (1994) Collusion Properties of Values. Int. J. Game Theory 23:261-281
6. Harsanyi, J.C. (1959) A Bargaining Model for Cooperative n-Person Games. In: Tucker A.W., Luce R.D. (eds.) Contributions to the Theory of Games IV. pp. 325-355. Princeton University Press, Princeton
7. Laan, G. van der, Brink, R. van den (1998) Axiomatizations of a Class of Share Functions for N-Person Games. Theory and Decision (in press)
8. Lehrer, E. (1988) An Axiomatization of the Banzhaf Value. Int. J. Game Theory 17:89-99
9. Shapley, L.S. (1953) A Value for n-Person Games. Ann. Math. Studies 28 (Contributions to the Theory of Games Vol. 2, pp. 307-317) (eds. H.W. Kuhn and A.W. Tucker) Princeton University Press, Princeton
10. Shapley, L.S. (1953) A Value for n-Person Games. Ann. Math. Studies 28 (Contributions to the Theory of Games Vol. 2, pp. 307-317) (eds. H.W. Kuhn and A.W. Tucker) Princeton University Press, Princeton
11. Young, H.P. (1985) Monotonic Solutions of Cooperative Games. Int. J. Game Theory 14:65-72