Advances and Applications in Discrete Mathematics

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VMAVA+: (VOTING METHOD BASED ON APPROVAL VOTING AND ARITHMETIC MEAN)+

Authors

  • Wambie Zongo
  • Zoïnabo Savadogo
  • Sougoursi Jean Yves Zare
  • Somdouda Sawadogo
  • Blaise Some

Keywords:

vote-ballot-voting method based on approval voting and arithmetic mean.

DOI:

https://doi.org/10.17654/0974165822054

Abstract

According to the literature on social choice theories, no method of voting is perfect. Some have notorious shortcomings and do not guarantee the stability of institutions and organizations. Others are complex and difficult to implement.

In this article, we propose a voting method called VMAVA+ which is an extension of VMAVA (Voting Method based on Approval Voting and Arithmetic mean) having good properties for a good vote. It corrects an insufficiency of VMAVA.

Received: September 23, 2022
Accepted: October 15, 2022

References

Jorge Gonzalez Suitt et al., Towards a fairer voting system, 2014.

Zoïnabo Savadogo and Blaise Some, Voting method based on approval voting and arithmetic mean, International Journal of Applied Mathematical Research 9(1) (2020), 1-8. Website: www.sciencepubco.com/index.php/IJAMR.

Michel Balinski and Rita Laraki, Majority judgment vs. majority vote, Working paper 2012-37, 2012.

K. Arrow, Social Choice and Individual Values, Yale University Press, New Haven CT, 1951.

Michel Truchon, Social choice and selection committees: the case of figure skating, Université Laval CIRANO, CIRPEE, 2002.

M. Condorcet, An essay on the application of analysis to the probability of decisions rendered by a plurality of votes, 1785.

D. Bouyssou, Th. Marchaut and P. Perny, Social Choice Theory and Multicriteria Decision Aiding, Wiley, 2009.

J.-F. Laslier and R. Sanver, Handbook on Approval Voting, Springer Sciences and Business Media, 2010.

Natthanaïel Barrot, On the computational impacts of approval voting, Thesis, Paris-Dauphine University, 2016.

Baujard Antoinette et al., Vote by approval, vote by rating, An experiment during the presidential election of April 2012, Economic Review 64 (2013), 345-356.

Ruffin-Benoît M. Ngoie, Zoinabo Savadogo and Berthold E.-L. Ulungu, Median and average as tools for measuring, electing and ranking: new prospects, Fundamental Journal of Mathematics and Mathematical Sciences 1(1) (2014), 9-30.

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Published

2022-11-28

Issue

Vol. 35 (2022)

Section

Articles

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How to Cite

VMAVA+: (VOTING METHOD BASED ON APPROVAL VOTING AND ARITHMETIC MEAN)+. (2022). Advances and Applications in Discrete Mathematics, 35, 87-102. https://doi.org/10.17654/0974165822054

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