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Voting with evaluations: characterizations of evaluative voting and range voting

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  • Antonin Macé

    (CNRS - Centre National de la Recherche Scientifique, AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

I conduct an axiomatic analysis of voting rules in a context where voters evaluate each candidate by assigning her an evaluation from a pre-established set. I focus on additive rules, which follow the utilitarian paradigm. Characterization results are provided for each of the two prominent additive rules: Evaluative Voting when the evaluation set is finite and Range Voting when the evaluation set is [0,1].

Suggested Citation

  • Antonin Macé, 2017. "Voting with evaluations: characterizations of evaluative voting and range voting," Working Papers halshs-01222200, HAL.
  • Handle: RePEc:hal:wpaper:halshs-01222200
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01222200v2
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    References listed on IDEAS

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    1. Myerson, Roger B. & Weber, Robert J., 1993. "A Theory of Voting Equilibria," American Political Science Review, Cambridge University Press, vol. 87(1), pages 102-114, March.
    2. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2013. "Who’s Favored by Evaluative Voting ? An Experiment Conducted During the 2012 French Presidential Election," Working Papers of BETA 2013-08, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    3. Matías Núñez & Jean Laslier, 2014. "Preference intensity representation: strategic overstating in large elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 313-340, February.
    4. Murat Sertel & Arkadii Slinko, 2007. "Ranking committees, income streams or multisets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(2), pages 265-287, February.
    5. Denis Bouyssou & Marc Pirlot, 2016. "Conjoint Measurement Tools for MCDM," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 97-151, Springer.
    6. Moulin,Hervi, 1991. "Axioms of Cooperative Decision Making," Cambridge Books, Cambridge University Press, number 9780521424585.
    7. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," Review of Economic Studies, Oxford University Press, vol. 44(2), pages 199-209.
    8. Gerald J. Glasser, 1959. "Game Theory and Cumulative Voting for Corporate Directors," Management Science, INFORMS, vol. 5(2), pages 151-156, January.
    9. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    10. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    11. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    12. Pivato, Marcus, 2014. "Formal utilitarianism and range voting," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 50-56.
    13. Michel Balinski & Rida Laraki, 2011. "Majority Judgment: Measuring, Ranking, and Electing," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015137.
    14. Mihir Bhattacharya, 2016. "Multilevel multidimensional consistent aggregators," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 839-861, April.
    15. W. M. Gorman, 1968. "The Structure of Utility Functions," Review of Economic Studies, Oxford University Press, vol. 35(4), pages 367-390.
    16. Claude Hillinger, 2005. "The Case for Utilitarian Voting," Homo Oeconomicus, Institute of SocioEconomics, vol. 23, pages 295-321.
    17. Brams, Steven J. & Fishburn, Peter C., 1978. "Approval Voting," American Political Science Review, Cambridge University Press, vol. 72(3), pages 831-847, September.
    18. Jean-François Laslier, 2011. "And the loser is... Plurality Voting," Working Papers hal-00609810, HAL.
    19. José Alcantud & Annick Laruelle, 2014. "Dis&approval voting: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 1-10, June.
    20. Efe A. Ok, 2007. "Preliminaries of Real Analysis, from Real Analysis with Economic Applications," Introductory Chapters, in: Real Analysis with Economic Applications, Princeton University Press.
    21. Gaertner, Wulf & Xu, Yongsheng, 2012. "A general scoring rule," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 193-196.
    22. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2002. "Utilitarianism and the theory of justice," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 11, pages 543-596, Elsevier.
    23. Eric Maskin, 1978. "A Theorem on Utilitarianism," Review of Economic Studies, Oxford University Press, vol. 45(1), pages 93-96.
    24. Aleskerov, Fuad & Chistyakov, Vyacheslav V. & Kalyagin, Valery, 2010. "The threshold aggregation," Economics Letters, Elsevier, vol. 107(2), pages 261-262, May.
    25. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, June.
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    Cited by:

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    2. Ginsburgh, Victor & Moreno-Ternero, Juan D. & Weber, Shlomo, 2017. "Ranking languages in the European Union: Before and after Brexit," European Economic Review, Elsevier, vol. 93(C), pages 139-151.

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    Keywords

    measurement; utilitarianism; Range Voting; Evaluative Voting;
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