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Egalitarianism vs. Utilitarianism in Preferential Voting

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The Future of Digital Democracy

Abstract

Democratic societies base much of their decisions on voting procedures that involve aggregation of individual votes into a winning solution. While for two candidates majority voting can provide satisfactory results, for three or more candidates the winner depends on the voting method employed. In this chapter we analyse preferential voting , where voting ballots consist of a ranking of candidates.

We first study the classical Condorcet criterium introduced to maximise the total satisfaction of voters, i.e. the utilitarian criterion . We then complement it with a recently introduced method to minimise the total un-evenness of the rewards, i.e. the egalitarian dimension . We show, through targeted examples and analysis of synthetic vote data, that the new dimension may lead to more fair results, and can provide resilience to radical voter opinions.

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References

  1. Börgers, C.: Mathematics of Social Choice: Voting, Compensation, and Division, Other Titles in Applied Mathematics, vol. 119. SIAM (2010). http://epubs.siam.org/doi/10.1137/1.9780898717624

  2. Condorcet: Esquisse d’un tableau historique des progrès de l’esprit humain. Agasse, Paris, France (1794)

    Google Scholar 

  3. Contucci, P., Panizzi, E., Ricci-Tersenghi, F., Sîrbu, A.: Egalitarianism in the rank aggregation problem: a new dimension for democracy. Qual. Quantity 50(3), 1185–1200 (2016). http://link.springer.com/10.1007/s11135-015-0197-x

    Article  Google Scholar 

  4. Contucci, P., Panizzi, E., Ricci-Tersenghi, F., Sîrbu, A.: RateIt web application (2016). http://sapienzaapps.it/rateit.php

  5. Gini, C.: L’uomo medio. Giornale degli economisti e rivista di statistica 48(1), 1–24 (1914). https://www.jstor.org/stable/23223786

  6. Gravino, P., Caminiti, S., Sîrbu, A., Tria, F., Servedio, V.D., Loreto, V.: Unveiling political opinion structures with a web-experiment. In: 1st International Conference on Complex Information Systems, COMPLEXIS 2016, vol. 1, pp. 39–47. SciTePress (2016). http://www.scitepress.org/DigitalLibrary/Link.aspx?doi=10.5220/0005906300390047

  7. Kemeny, J.G.: Mathematics without numbers. Daedalus 88(4), 577–591 (1959). http://www.jstor.org/stable/20026529

  8. Llull, R.: Ars notandi/Ars eleccionis/Alia ars eleccionis (1232–1315)

    Google Scholar 

  9. Papadimitriou, C.H.: Computational Complexity. Addison Wesley, Boston (1994). https://www.pearson.com/us/higher-education/program/Papadimitriou-Computational-Complexity/PGM94583.html

  10. Tversky, A., Kahneman, D.: Judgment under uncertainty: heuristics and biases. Science 185(4157), 1124–1131 (1974). http://science.sciencemag.org/content/185/4157/1124

    Article  Google Scholar 

  11. Young, H.P.: Condorcet’s theory of voting. Am. Polit. Sci. Rev. 82(4), 1231–1244 (1988). http://www.jstor.org/stable/1961757

    Article  Google Scholar 

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Correspondence to Pierluigi Contucci .

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Contucci, P., Sîrbu, A. (2019). Egalitarianism vs. Utilitarianism in Preferential Voting. In: Contucci, P., Omicini, A., Pianini, D., Sîrbu, A. (eds) The Future of Digital Democracy. Lecture Notes in Computer Science(), vol 11300. Springer, Cham. https://doi.org/10.1007/978-3-030-05333-8_3

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  • DOI: https://doi.org/10.1007/978-3-030-05333-8_3

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  • Print ISBN: 978-3-030-05332-1

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