Next Article in Journal
A Comparison of Discrete Schemes for Numerical Solution of Parabolic Problems with Fractional Power Elliptic Operators
Previous Article in Journal
Runge–Kutta Pairs of Orders 6(5) with Coefficients Trained to Perform Best on Classical Orbits
Previous Article in Special Issue
Robust Pairwise n-Person Stochastic Duel Game
Article

A Monotonic Weighted Banzhaf Value for Voting Games

Faculty of Statistics, Complutense University of Madrid, Puerta de Hierro, 1, 28040 Madrid, Spain
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Vladimir Mazalov
Mathematics 2021, 9(12), 1343; https://doi.org/10.3390/math9121343
Received: 21 April 2021 / Revised: 4 June 2021 / Accepted: 5 June 2021 / Published: 10 June 2021
(This article belongs to the Special Issue Mathematical Game Theory 2021)
The aim of this paper is to extend the classical Banzhaf index of power to voting games in which players have weights representing different cooperation or bargaining abilities. The obtained value does not satisfy the classical total power property, which is justified by the imperfect cooperation. Nevertheless, it is monotonous in the weights. We also obtain three different characterizations of the value. Then we relate it to the Owen multilinear extension. View Full-Text
Keywords: game theory; cooperative game; Banzhaf value; weighted game; cooperation abilities game theory; cooperative game; Banzhaf value; weighted game; cooperation abilities
MDPI and ACS Style

Manuel, C.M.; Martín, D. A Monotonic Weighted Banzhaf Value for Voting Games. Mathematics 2021, 9, 1343. https://doi.org/10.3390/math9121343

AMA Style

Manuel CM, Martín D. A Monotonic Weighted Banzhaf Value for Voting Games. Mathematics. 2021; 9(12):1343. https://doi.org/10.3390/math9121343

Chicago/Turabian Style

Manuel, Conrado M.; Martín, Daniel. 2021. "A Monotonic Weighted Banzhaf Value for Voting Games" Mathematics 9, no. 12: 1343. https://doi.org/10.3390/math9121343

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop