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The Strategic Sincerity of Approval Voting

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  • Matias Nunez

    ()
    (THEMA - Théorie économique, modélisation et applications - CNRS : UMR8184 - Université de Cergy Pontoise)

Abstract

We show that Approval voting need not trigger sincere behavior in equilibrium of Poisson voting games and hence might lead a strategic voter to skip a candidate preferred to his worst preferred approved candidate. We identify two main rationales for these violations of sincerity. First, if a candidate has no votes, a voter might skip him. Notwithstanding, we provide sufficient conditions on the voters' preference intensities to remove this sort of insincerity. On the contrary, if the candidate gets a positive share of the votes, a voter might skip him solely on the basis of his ordinal preferences. This second type of insincerity is a consequence of the correlation of the candidates' scores. The incentives for sincerity of rank scoring rules are also discussed.

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Bibliographic Info

Paper provided by HAL in its series Post-Print with number hal-00917101.

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Date of creation: Sep 2013
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Publication status: Published, Economic Theory, 2013, 0938-2259
Handle: RePEc:hal:journl:hal-00917101

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Keywords: Sincerity Approval voting Poisson games;

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  1. Dellis, Arnaud, 2010. "Weak undominance in scoring rule elections," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 110-119, January.
  2. Laurent Bouton & Micael Castanheira De Moura, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," ULB Institutional Repository 2013/108675, ULB -- Universite Libre de Bruxelles.
  3. Feddersen, Timothy J & Pesendorfer, Wolfgang, 1996. "The Swing Voter's Curse," American Economic Review, American Economic Association, vol. 86(3), pages 408-24, June.
  4. Francesco De Sionopoli & Carlos Gonzalez Pimienta, 2007. "Undominated (and) perfect equilibria in Poisson games," Economics Working Papers we073117, Universidad Carlos III, Departamento de Economía.
  5. GOERTZ, Johanna M. & MANIQUET, François, 2009. "On the informational efficiency of simple scoring rules," CORE Discussion Papers 2009026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Matias Nunez & Jean-Francois Laslier, 2013. "Preference Intensity Representation : Strategic Overstating in Large Elections," Post-Print hal-00917099, HAL.
  7. Roger B. Myerson, 1997. "Large Poisson Games," Discussion Papers 1189, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Jean-François Laslier, 2004. "Strategic approval voting in a large electorate," IDEP Working Papers 0405, Institut d'economie publique (IDEP), Marseille, France.
  9. McLennan, Andrew, 2011. "Manipulation in elections with uncertain preferences," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 370-375.
  10. 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.
  11. Miguel Ballester & Pedro Rey-Biel, 2009. "Does uncertainty lead to sincerity? Simple and complex voting mechanisms," Social Choice and Welfare, Springer, vol. 33(3), pages 477-494, September.
  12. Roger B. Myerson, 1994. "Extended Poisson Games and the Condorcet Jury Theorem," Discussion Papers 1103, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Robert J. Weber, 1995. "Approval Voting," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 39-49, Winter.
  14. Roger B. Myerson, 2000. "Comparison of Scoring Rules in Poisson Voting Games," Econometric Society World Congress 2000 Contributed Papers 0686, Econometric Society.
  15. David S. Ahny & Santiago Oliveros, 2013. "Approval Voting and Scoring Rules with Common Values," Economics Discussion Papers 732, University of Essex, Department of Economics.
  16. Myerson, Roger B., 1999. "Theoretical comparisons of electoral systems," European Economic Review, Elsevier, vol. 43(4-6), pages 671-697, April.
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