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Simplified model relating blank and null votes to voter turnout from Brazilian state elections results

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  • Cardoso, M.
  • Afonso, L.H.D.
  • Neli, R.R.
  • Souza, W.E.

Abstract

Studies investigating opinion dynamics in elections have mainly focused on votes cast for candidates. However, voter opinions can also be expressed through blank and null votes when none of the candidates represents them. Therefore, our study proposed to model blank and null votes in a scenario of only two candidates using data from nine election years for Brazilian state governors that took place in a second round, making a total of 90 elections. We analyzed the relationship between the turnout and votes for each candidate, as well as blank and null votes, representing the three partitions of the votes in a second-round election. We found the behavior scaling laws for all elections and the three partition votes, totaling 270 fits. Combining this result with the probability conservation of the votes over the voter turnout, we developed a model for the blank and null votes depending on a single parameter. The scaling law behavior of blank and null votes allowed us to observe that voters in the larger populations are more difficult to win over.

Suggested Citation

  • Cardoso, M. & Afonso, L.H.D. & Neli, R.R. & Souza, W.E., 2024. "Simplified model relating blank and null votes to voter turnout from Brazilian state elections results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    • Handle: RePEc:eee:phsmap:v:645:y:2024:i:c:s0378437124002863
    DOI: 10.1016/j.physa.2024.129777
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    References listed on IDEAS

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    1. Cardoso, M. & Souza, J.T.G. & Neli, R.R. & Souza, W.E., 2023. "Scaling laws from Brazilian state election results point out that, the candidate’s chance to win increases by investing more campaign efforts in smaller electorates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    2. M. C. González & A. O. Sousa & H. J. Herrmann, 2004. "Opinion Formation On A Deterministic Pseudo-Fractal Network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 45-57.
    3. Eszter Bokányi & Zoltán Szállási & Gábor Vattay, 2018. "Universal scaling laws in metro area election results," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-11, February.
    4. Cardoso, M. & Silva, L.M.C. & Neli, R.R. & Souza, W.E., 2022. "Electorate involvement disorder: Universal relationship between the amplitude and electorate size in second round of Brazilian Presidential Election," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    5. Luis Bettencourt & Geoffrey West, 2010. "A unified theory of urban living," Nature, Nature, vol. 467(7318), pages 912-913, October.
    6. Jack Sutton & Golnaz Shahtahmassebi & Haroldo V Ribeiro & Quentin S Hanley, 2022. "Population density and spreading of COVID-19 in England and Wales," PLOS ONE, Public Library of Science, vol. 17(3), pages 1-19, March.
    7. José Lobo & Luís M A Bettencourt & Deborah Strumsky & Geoffrey B West, 2013. "Urban Scaling and the Production Function for Cities," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-10, March.
    8. Luiz G A Alves & Haroldo V Ribeiro & Ervin K Lenzi & Renio S Mendes, 2013. "Distance to the Scaling Law: A Useful Approach for Unveiling Relationships between Crime and Urban Metrics," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-8, August.
    9. Markus Schläpfer & Lei Dong & Kevin O’Keeffe & Paolo Santi & Michael Szell & Hadrien Salat & Samuel Anklesaria & Mohammad Vazifeh & Carlo Ratti & Geoffrey B. West, 2021. "The universal visitation law of human mobility," Nature, Nature, vol. 593(7860), pages 522-527, May.
    10. Nuno A M Araújo & José S Andrade Jr & Hans J Herrmann, 2010. "Tactical Voting in Plurality Elections," PLOS ONE, Public Library of Science, vol. 5(9), pages 1-5, September.
    11. Matthew I. Jones & Antonio D. Sirianni & Feng Fu, 2022. "Polarization, abstention, and the median voter theorem," Palgrave Communications, Palgrave Macmillan, vol. 9(1), pages 1-12, December.
    12. Hygor Piaget M Melo & Saulo D S Reis & André A Moreira & Hernán A Makse & José S Andrade Jr., 2018. "The price of a vote: Diseconomy in proportional elections," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-13, August.
    13. Araripe, L.E. & Costa Filho, R.N., 2009. "Role of parties in the vote distribution of proportional elections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4167-4170.
    14. Andres Gomez-Lievano & HyeJin Youn & Luís M A Bettencourt, 2012. "The Statistics of Urban Scaling and Their Connection to Zipf’s Law," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-11, July.
    15. Cardoso, M. & Mendes, R.S. & Souza, J.T.G. & Ribeiro, H.V., 2020. "Gender difference in candidature processes for Brazilian elections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    16. Costa Filho, R.N. & Almeida, M.P. & Moreira, J.E. & Andrade, J.S., 2003. "Brazilian elections: voting for a scaling democracy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 698-700.
    17. Luis E. Araripe & Raimundo N. Costa Filho & Hans J. Herrmann & José S. Andrade, 2006. "Plurality Voting: The Statistical Laws Of Democracy In Brazil," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(12), pages 1809-1813.
    18. Cameron Guage & Feng Fu, 2021. "Asymmetric Partisan Voter Turnout Games," Dynamic Games and Applications, Springer, vol. 11(4), pages 738-758, December.
    19. Alves, Luiz G.A. & Ribeiro, Haroldo V. & Mendes, Renio S., 2013. "Scaling laws in the dynamics of crime growth rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2672-2679.
    20. Alves, L.G.A. & Ribeiro, H.V. & Lenzi, E.K. & Mendes, R.S., 2014. "Empirical analysis on the connection between power-law distributions and allometries for urban indicators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 175-182.
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