Abstract
An axiomatization of the Banzhaf value is given. It is based on a version of three axioms, which are common to all the semi-values, and on an additional reduction axiom.
Similar content being viewed by others
References
Dubey P (1975) On the uniqueness of the Shapley value. International Journal of Game Theory 4:131–139
Dubey P, Neyman A, Weber RJ (1981) Value theory without efficiency. Math Oper Res 6: 122–128
Dubey P, Shapley LS (1979) Mathematical properties of the Banzhaf power index. Math Oper Res 4:99–131
Owen G (1982) Game theory, 2nd ed. Academic Press, New York
Peleg B (1986) On the reduced game property and its converse. International Journal of Game Theory 15:187–200
Shapley LS (1953) A value for n-person games. In: Contributions to the theory of games, Annals of Mathematics Studies, vol 28. Princeton Univ. Press, Princeton, pp 307–317
Sobolev AI (1975) The characterization of optimality principles in cooperative games by functional equations. Mathematical Methods in Social Sciences 6:150–165 [Russian]
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lehrer, E. An axiomatization of the Banzhaf value. Int J Game Theory 17, 89–99 (1988). https://doi.org/10.1007/BF01254541
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01254541