IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/halshs-01222200.html
   My bibliography  Save this paper

Voting with evaluations: characterizations of evaluative voting and range voting

Author

Listed:
  • 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://shs.hal.science/halshs-01222200v2
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-01222200v2/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon & Frédéric Gavrel & Jean-François Laslier, 2014. "Who's favored by evaluative voting? An experiment conducted during the 2012 French presidential election," PSE-Ecole d'économie de Paris (Postprint) halshs-01113068, HAL.
    4. 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.
    5. 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.
    6. W. M. Gorman, 1968. "The Structure of Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(4), pages 367-390.
    7. 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.
    8. Claude D'Aspremont & Louis Gevers, 1977. "Equity and the Informational Basis of Collective Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 199-209.
    9. 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.
    10. Claude Hillinger, 2005. "The Case for Utilitarian Voting," Homo Oeconomicus, Institute of SocioEconomics, vol. 23, pages 295-321.
    11. Moulin,Hervi, 1991. "Axioms of Cooperative Decision Making," Cambridge Books, Cambridge University Press, number 9780521424585, September.
    12. Brams, Steven J. & Fishburn, Peter C., 1978. "Approval Voting," American Political Science Review, Cambridge University Press, vol. 72(3), pages 831-847, September.
    13. Gerald J. Glasser, 1959. "Game Theory and Cumulative Voting for Corporate Directors," Management Science, INFORMS, vol. 5(2), pages 151-156, January.
    14. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon & Frédéric Gavrel & Jean-François Laslier, 2014. "Who's favored by evaluative voting? An experiment conducted during the 2012 French presidential election," Post-Print halshs-01113068, HAL.
    15. Jean-François Laslier, 2011. "And the loser is... Plurality Voting," Working Papers hal-00609810, HAL.
    16. 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.
    17. 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.
    18. 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.
    19. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    20. Gaertner, Wulf & Xu, Yongsheng, 2012. "A general scoring rule," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 193-196.
    21. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    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. Pivato, Marcus, 2014. "Formal utilitarianism and range voting," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 50-56.
    24. 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 hal-00803024, HAL.
    25. Michel Balinski & Rida Laraki, 2011. "Majority Judgment: Measuring, Ranking, and Electing," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015137, April.
    26. Eric Maskin, 1978. "A Theorem on Utilitarianism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 93-96.
    27. Aleskerov, Fuad & Chistyakov, Vyacheslav V. & Kalyagin, Valery, 2010. "The threshold aggregation," Economics Letters, Elsevier, vol. 107(2), pages 261-262, May.
    28. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Antonin Macé, 2015. "Voting with Evaluations: When Should We Sum? What Should We Sum?," AMSE Working Papers 1544, Aix-Marseille School of Economics, France, revised 29 Oct 2015.
    2. Macé, Antonin, 2018. "Voting with evaluations: Characterizations of evaluative voting and range voting," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 10-17.
    3. Marcus Pivato, 2016. "Asymptotic utilitarianism in scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(2), pages 431-458, August.
    4. Baujard, Antoinette & Gavrel, Frédéric & Igersheim, Herrade & Laslier, Jean-François & Lebon, Isabelle, 2018. "How voters use grade scales in evaluative voting," European Journal of Political Economy, Elsevier, vol. 55(C), pages 14-28.
    5. Abdelhalim El Ouafdi & Dominique Lepelley & Hatem Smaoui, 2020. "On the Condorcet efficiency of evaluative voting (and other voting rules) with trichotomous preferences," Annals of Operations Research, Springer, vol. 289(2), pages 227-241, June.
    6. Steven Brams & Richard Potthoff, 2015. "The paradox of grading systems," Public Choice, Springer, vol. 165(3), pages 193-210, December.
    7. Erdamar, Bora & Sanver, M. Remzi & Sato, Shin, 2017. "Evaluationwise strategy-proofness," Games and Economic Behavior, Elsevier, vol. 106(C), pages 227-238.
    8. Dodge Cahan & Arkadii Slinko, 2018. "Electoral competition under best-worst voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(2), pages 259-279, August.
    9. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon, 2020. "Some regrettable grading scale effects under different versions of evaluative voting," Working Papers halshs-02926780, HAL.
    10. Pivato, Marcus, 2014. "Formal utilitarianism and range voting," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 50-56.
    11. Antoinette Baujard & Herrade Igersheim & Isabelle Lebon, 2021. "Some regrettable grading scale effects under different versions of evaluative voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 803-834, May.
    12. Darmann, Andreas & Grundner, Julia & Klamler, Christian, 2019. "Evaluative voting or classical voting rules: Does it make a difference? Empirical evidence for consensus among voting rules," European Journal of Political Economy, Elsevier, vol. 59(C), pages 345-353.
    13. Justin Kruger & M. Remzi Sanver, 2021. "An Arrovian impossibility in combining ranking and evaluation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(3), pages 535-555, October.
    14. Andreas Darmann & Julia Grundner & Christian Klamler, 2017. "Election outcomes under different ways to announce preferences: an analysis of the 2015 parliament election in the Austrian federal state of Styria," Public Choice, Springer, vol. 173(1), pages 201-216, October.
    15. Antoinette Baujard & Frédéric Gavrel & Herrade Igersheim & Jean-François Laslier & Isabelle Lebon, 2014. "Who's favored by evaluative voting? An experiment conducted during the 2012 French presidential election," Working Papers halshs-01090234, HAL.
    16. Igersheim, Herrade & Durand, François & Hamlin, Aaron & Laslier, Jean-François, 2022. "Comparing voting methods: 2016 US presidential election," European Journal of Political Economy, Elsevier, vol. 71(C).
    17. 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.
    18. Pivato, Marcus, 2013. "Variable-population voting rules," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 210-221.
    19. Lachat, Romain & Laslier, Jean-François, 2024. "Alternatives to plurality rule for single-winner elections: When do they make a difference?," European Journal of Political Economy, Elsevier, vol. 81(C).
    20. Laruelle, Annick, 2018. "Voting and expressing dissatisfaction: an experiment during the 2017 French Presidential election," IKERLANAK 25736, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.

    More about this item

    Keywords

    Range Voting; Evaluative Voting; utilitarianism; measurement;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:halshs-01222200. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.