InteractionWe provide an axiomatisation of the Banzhaf value (or power index) and the Banzhaf interaction index for multichoice games, which are generalisation of cooperative games with several levels of participation. Multichoice games can model any aggregation model in multicriteria decision making, ...
R. (2014). Banzhaf index for multiple voting systems. An application to the European Union. Annals of Operations Research , 215 , 215–230.Enriques, L., Gilson, R. J., Pacces, R. M. (2014) The case for an unbiased takeover law (with an application to the European Union), ...
In this paper first, we employ the Banzhaf values to show the potential cost to waste producers in the case of a cooperation and to reduce the overall costs of processing non-recyclable waste during cooperation between producers. Secondly, we propose an application of the metho...
The modified banzhaf value for games with coalition structure: an axiomatic characterization. Mathematical Social Sciences, 43(1):45-54, 2002.R. Amer, F. Carreras, J.M. Gimenez. The modified Banzhaf value for games with coalition structure: an axiomatic characterization[J]. Mathematical Social ...
Banzhaf valuegrey calculuscooperative grey gamesShapley valuecharacterizationThe Banzhaf value with grey data is a solution concept in cooperative grey games that has been extensively studied in the context of operations research. The author aims to define the traits of the Banzhaf value in cooperat...
John Banzhaf likes to pose this challenge to students who enroll in his graduate class on legal activism at George Washington University, in Washington, DC. Think of something that really irritates you or smacks of obvious civil injustice, he tells them. Then think of a way of using the law...
S. Prigge, The performance of shareholder influence measures: an empirical assessment of share in votes, Banzhaf index, and Shapley-Shubik index. SSRN eLibrary , 2007S. Prigge, The performance of shareholder influence measures: an empirical assessment of share in votes, Banzhaf index, and Shapley...
(2011). Parallel Characterizations of a Generalized Shapley Value and a Generalized Banzhaf Value for Cooperative Games with Levels Structure of Cooperation. Decision Support Systems, 52:21-27.Alvarez-Mozos, M. and Tejada, O. (2011). Parallel characterizations of a generalized Shapley value and a...
Algaba E, Bilbao JM, van den Brink R, Jimenez-Losada A (2003b) An axiomatization of the Banzhaf value for cooperative games on antimatroids. Math Methods Oper Res 59:147-166Algaba E,Bilbao J M,Brink R V.An axiomatization of the Banzhaf value for cooperative games on antimatroids[J]....
An axiomatization of the modified Banzhaf-Coleman index [J]. International Journal of Game Theory, 2001, 30: 167-176.Albizuri, M.J. [2001]: "An axiomatization of the modified Banzhaf-Coleman index." International Journal of Game Theory 30, 167-176....