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Entropic spatial auto-correlation of voter uncertainty and voter transitions in parliamentary elections

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  • Deeb, Omar El

Abstract

This paper studies a novel spatial auto-correlation model of voter uncertainty across districts. We use the Moran I index to measure the auto-correlation of Shannon, relative Shannon, Tsallis and relative Tsallis entropies of regional electoral outcomes with respect to geographic adjacency, proximity and sectarian adjacency. Using data from the Lebanese parliamentary elections, we find strong geographic and gravitational adjacency correlations. More importantly, there is a notably strong correlation in sectarian adjacency in both 2018 and 2022 elections, with a very high level of confidence. This result asserts the dominance of the sectarian factor in Lebanese politics. We also introduce the method of maximized general entropy estimation that allows us to determine the Markov transition matrix of voters between consecutive elections.

Suggested Citation

  • Deeb, Omar El, 2023. "Entropic spatial auto-correlation of voter uncertainty and voter transitions in parliamentary elections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    • Handle: RePEc:eee:phsmap:v:617:y:2023:i:c:s0378437123002303
    DOI: 10.1016/j.physa.2023.128675
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    References listed on IDEAS

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    1. Mostapha Diss & Frank Steffen, 2017. "The Distribution of Power in the Lebanese Parliament Revisited," Working Papers 1723, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    2. C. Borghesi & J.-P. Bouchaud, 2010. "Spatial correlations in vote statistics: a diffusive field model for decision-making," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 75(3), pages 395-404, June.
    3. 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).
    4. Stadler, B.M.R., 2000. "Abstention in dynamical models of spatial voting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 660-668.
    5. Ghosh, Abhik & Shreya, Preety & Basu, Banasri, 2021. "Maximum entropy framework for a universal rank order distribution with socio-economic applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    6. Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
    7. Martı́nez, S & Nicolás, F & Pennini, F & Plastino, A, 2000. "Tsallis’ entropy maximization procedure revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(3), pages 489-502.
    8. Khalil, Nagi & Toral, Raúl, 2019. "The noisy voter model under the influence of contrarians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 81-92.
    9. Paul Corral & Daniel Kuehn & Ermengarde Jabir, 2017. "Generalized maximum entropy estimation of linear models," Stata Journal, StataCorp LP, vol. 17(1), pages 240-249, March.
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