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New Voting Method Adapted to Developing Countries (NoMePaVD)

Received: 19 December 2022    Accepted: 31 January 2023    Published: 9 March 2023
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Abstract

Elections are the heart of democracy. The choices made by a social group generally affect all the individuals in that group. So social choice is about the selection of options by a group of individuals. Many voting methods exist in the literature but these methods are not necessarily adapted to the situation of low-income countries, forcing these countries to go into debt to organize elections that sometimes do not express the will of the people. In our case we seek to elect a president of the republic by indirect suffrage. To do this we first organize a coupled election (legislative and municipal) in which mayors and deputies are elected. Then, the latter will in turn constitute the electors responsible for designating a president of the republic. The weight of the votes of these electors in the choice of the president is therefore a function of the schooling rate of the region where they were designated. Thus, by applying the vote by score and considering the weight of the votes of the electors, a winner is designated. The winner of the election is the one who obtains the most points. This voting method has the advantage of being less costly.

Published in Pure and Applied Mathematics Journal (Volume 12, Issue 1)
DOI 10.11648/j.pamj.20231201.12
Page(s) 12-15
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Social Choice, Voting, Community Conflict Resolution

References
[1] Michel Balinski, Rida Laraki. Jugement majoritaire vs. Vote majoritaire. Cahier de recherche 2012-37. 2012. hal-00760250.
[2] D. Bouyssou; Th. Marchant et P. Perny, Théorie du choix social et aide multicritère à la décision, mai 2002 révision 13 octobre 2005.
[3] Kelly, J. S. (1991), Social choice bibliography, Social Choice and Welfare 8, 97169. Voir aussi www.maxwell.syr.edu/maxpages/faculty/jskelly/O.htm.
[4] Manzoor Ahmed Zahid. A new framework for elections. PhD thesis, Tilburg University, 2012.
[5] Michel Balinski and Rida Laraki. Jugement majoritaire vs vote majoritaire (via les présidentielles 2011-2012). Cahier no 2012-37, CNRS, 2012.
[6] P. Dasgupta et E. Maskin [2008]. On the robustness of majority rule. Journal of the European Economics Association 6 949-973.
[7] Rufn-Benoît M. Ngoie and Berthold E.-L. Ulungu. Mean-Median Compromise Method as an innovating voting rule in Social Choice Theory. International Journal of Applied Mathematical Research, 4 (1): 177182, 2015. DOI: 10.14419/ijamr.v4i1.4139. http://mpra.ub.uni-muenchen.de/62938/.
[8] Clark, J. T. (2021). The Formation of Public Opinion Around Elections and Electoral Integrity. Working paper. Presented at the 5th annual Election Sciences, Reform, and Administration conference.
[9] Aaron Hamlin, Whitney Hua. The case for approval voting. Constitutional Political Economy https://doi.org/10.1007/s10602-022-09381-x. 3 December 2022.
[10] Ballotpedia. Fargo, North Dakota, Measure 1, Approval Voting Initiative (November 2018). https://ballotpedia.org/Fargo,_North_Dakota,_Measure_1,_Appr
[11] Ballotpedia. St. Louis, Missouri, Proposition D, Approval Voting Initiative (November 2020) https://ballotpedia.org/St._Louis,_Missouri,_Proposition_D,_Approval_Voting_Initiative_(November_2020)
[12] Ballotpedia. Mayoral election in St. Louis, Missouri (2021) https://ballotpedia.org/Mayoral_election_in_St._Louis,_Missouri_(2021)
[13] Rakich, N. (2021). March 1). St. Louis, voters will get to vote for as many candidates as they want. Five Thirty Eight. https://fivethirtyeight.com/features/ in-st-louis-voters-will-get-to-vote-for-as-many-candidates-as-they-want/
[14] Laslier, J. F. (2006). Strategic approval voting in a large electorate. Working paper. https://halshs.archivesouvertes.fr/halshs-00121751/document.
[15] Igersheim, H., Durand, F., Hamlin, A., & Laslier, J. F. (2021). Comparing voting methods: 2016 US presidential election. European Journal of Political Economy. Open-access online. https://www.sciencedirect.com/science/article/pii/S0176268021000562
[16] Smith, W. D., & Kok, J. (n.d.a). Range voting with mixtures of honest and strategic voters. https://rangevoting.org
Cite This Article
  • APA Style

    Zoïnabo SAVADOGO, Sougoursi Jean Yves ZARE, Wambie ZONGO, Blaise SOME. (2023). New Voting Method Adapted to Developing Countries (NoMePaVD). Pure and Applied Mathematics Journal, 12(1), 12-15. https://doi.org/10.11648/j.pamj.20231201.12

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    ACS Style

    Zoïnabo SAVADOGO; Sougoursi Jean Yves ZARE; Wambie ZONGO; Blaise SOME. New Voting Method Adapted to Developing Countries (NoMePaVD). Pure Appl. Math. J. 2023, 12(1), 12-15. doi: 10.11648/j.pamj.20231201.12

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    AMA Style

    Zoïnabo SAVADOGO, Sougoursi Jean Yves ZARE, Wambie ZONGO, Blaise SOME. New Voting Method Adapted to Developing Countries (NoMePaVD). Pure Appl Math J. 2023;12(1):12-15. doi: 10.11648/j.pamj.20231201.12

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  • @article{10.11648/j.pamj.20231201.12,
      author = {Zoïnabo SAVADOGO and Sougoursi Jean Yves ZARE and Wambie ZONGO and Blaise SOME},
      title = {New Voting Method Adapted to Developing Countries (NoMePaVD)},
      journal = {Pure and Applied Mathematics Journal},
      volume = {12},
      number = {1},
      pages = {12-15},
      doi = {10.11648/j.pamj.20231201.12},
      url = {https://doi.org/10.11648/j.pamj.20231201.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20231201.12},
      abstract = {Elections are the heart of democracy. The choices made by a social group generally affect all the individuals in that group. So social choice is about the selection of options by a group of individuals. Many voting methods exist in the literature but these methods are not necessarily adapted to the situation of low-income countries, forcing these countries to go into debt to organize elections that sometimes do not express the will of the people. In our case we seek to elect a president of the republic by indirect suffrage. To do this we first organize a coupled election (legislative and municipal) in which mayors and deputies are elected. Then, the latter will in turn constitute the electors responsible for designating a president of the republic. The weight of the votes of these electors in the choice of the president is therefore a function of the schooling rate of the region where they were designated. Thus, by applying the vote by score and considering the weight of the votes of the electors, a winner is designated. The winner of the election is the one who obtains the most points. This voting method has the advantage of being less costly.},
     year = {2023}
    }
    

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    AU  - Sougoursi Jean Yves ZARE
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    DO  - 10.11648/j.pamj.20231201.12
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    JF  - Pure and Applied Mathematics Journal
    JO  - Pure and Applied Mathematics Journal
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    AB  - Elections are the heart of democracy. The choices made by a social group generally affect all the individuals in that group. So social choice is about the selection of options by a group of individuals. Many voting methods exist in the literature but these methods are not necessarily adapted to the situation of low-income countries, forcing these countries to go into debt to organize elections that sometimes do not express the will of the people. In our case we seek to elect a president of the republic by indirect suffrage. To do this we first organize a coupled election (legislative and municipal) in which mayors and deputies are elected. Then, the latter will in turn constitute the electors responsible for designating a president of the republic. The weight of the votes of these electors in the choice of the president is therefore a function of the schooling rate of the region where they were designated. Thus, by applying the vote by score and considering the weight of the votes of the electors, a winner is designated. The winner of the election is the one who obtains the most points. This voting method has the advantage of being less costly.
    VL  - 12
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Author Information
  • Laboratory of Numerical Analysis of Computer Science and Biomathematics (LANIBIO), Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso

  • Laboratory of Numerical Analysis of Computer Science and Biomathematics (LANIBIO), Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso

  • Laboratory of Numerical Analysis of Computer Science and Biomathematics (LANIBIO), Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso

  • Laboratory of Numerical Analysis of Computer Science and Biomathematics (LANIBIO), Joseph Ki-Zerbo University, Ouagadougou, Burkina Faso

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