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A general scoring rule

Author

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  • Gaertner, Wulf
  • Xu, Yongsheng

Abstract

This paper studies a ranking rule of the following type axiomatically: each voter places k candidates into n categories with ranks from n to 1 attached to these categories, the candidate(s) with the highest aggregate score is (are) the winner(s). We show that it is characterized by a monotonicity condition and a multi-stage cancellation property.

Suggested Citation

  • Gaertner, Wulf & Xu, Yongsheng, 2012. "A general scoring rule," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 193-196.
  • Handle: RePEc:eee:matsoc:v:63:y:2012:i:3:p:193-196
    DOI: 10.1016/j.mathsocsci.2012.01.006
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    References listed on IDEAS

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    1. Steven Slutsky, 1977. "A Characterization of Societies with Consistent Majority Decision," Review of Economic Studies, Oxford University Press, vol. 44(2), pages 211-225.
    2. Amrita Dhillon & Jean-Francois Mertens, 1999. "Relative Utilitarianism," Econometrica, Econometric Society, vol. 67(3), pages 471-498, May.
    3. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
    4. Jean-François Laslier, 2012. "On choosing the alternative with the best median evaluation," Public Choice, Springer, vol. 153(3), pages 269-277, December.
    5. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
    6. Bassett, Gilbert W, Jr & Persky, Joseph, 1999. "Robust Voting," Public Choice, Springer, vol. 99(3-4), pages 299-310, June.
    7. Eric Maskin, 1978. "A Theorem on Utilitarianism," Review of Economic Studies, Oxford University Press, vol. 45(1), pages 93-96.
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    Citations

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    Cited by:

    1. Antoinette Baujard, 2015. "How voters use grade scales in evaluative voting," Post-Print halshs-01211532, HAL.
    2. Antoinette Baujard & Frédéric Gavrel & Isabelle Lebon & Herrade Igersheim & Jean-François Laslier, 2016. "How voters use grade scales in evaluative voting," Post-Print halshs-01352016, HAL.
    3. 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.
    4. repec:eee:gamebe:v:106:y:2017:i:c:p:227-238 is not listed on IDEAS
    5. 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.
    6. Pivato, Marcus, 2014. "Formal utilitarianism and range voting," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 50-56.
    7. Pivato, Marcus, 2013. "Variable-population voting rules," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 210-221.
    8. Antonin Macé, 2017. "Voting with evaluations: characterizations of evaluative voting and range voting," Working Papers halshs-01222200, HAL.
    9. Antonin Macé, 2015. "Voting with Evaluations: When Should We Sum? What Should We Sum?," AMSE Working Papers 1544, Aix-Marseille School of Economics, Marseille, France, revised 29 Oct 2015.
    10. 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.

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