Equal treatment, symmetry and Banzhaf value axiomatizations

International Journal of Game Theory

Volumn 31, Issue 1, 2002, Pages 47-67

  Malawski, Marcin ^a  

^a INSTITUTE OF COMPUTER SCIENCE   (Poland)

Author keywords

Banzhaf value; Cooperative games; Equal treatment; Neutrality of operators

Indexed keywords

EID: 0036746641     PISSN: 00207276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001820200107     Document Type: Article

References (10)

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3. Haller H. (1994) Collusion properties of values, Int. J. Game Theory 23:261-281.
4. Kilgour D.M. (1974) A Shapley value for cooperative games with quarrelling, in: Rapoport A (ed), Game Theory as a Theory of Conflict Resolution, D. Reidel Publishing Comp., pp. 193-206.
5. Lehrer E. (1988) An axiomatization of the Banzhaf value, Int. J. Game Theory 17:89-99.
6. Nowak A. (1997) On an axiomatization of the Banzhaf value without the additivity axiom, Int. J. Game Theory 26:137-141.
7. Nowak A. and T. Radzik (1995) On axiomatizations of the weighted Shapley values, Games and Economic Behavior 8:389-405.
8. Shapley L.S. (1953) A value for n-person games, in: Kuhn HW, Tucker AW (eds), Contributions to the Theory of Games II, Princeton University Press, pp. 307-317.
9. Weber R.J. (1988) Probabilistic values for games, in: Roth A.E. (ed), The Shapley Value: Essays in Honor of Lloyd Shapley, Cambridge Univ. Press, pp. 101-119.
10. Young H.P. (1985) Monotonic solutions of cooperative games, Int. J. Game Theory 14:65-72.