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On the informational efficiency of simple scoring rules

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  • GOERTZ, Johanna M.M.
  • MANIQUET, François

Abstract

We study information aggregation in large elections. With two candidates, efficient information aggregation is possible (e.g., Feddersen and Pesendorfer [5], [6] and [7]). We show that this result does not extend to elections with more than two candidates. We study a class of simple scoring rules in voting games with Poisson population uncertainty and three candidates. No simple scoring rule aggregates information efficiently, even if preferences are dichotomous and a Condorcet winner always exists. We introduce a weaker criterion of informational efficiency that requires a voting rule to have at least one efficient equilibrium. Only approval voting satisfies this criterion.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number -2326.

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Handle: RePEc:cor:louvrp:-2326

Note: In : Journal of Economic Theory, 146(4), 1464-1480, 2011
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Cited by:
  1. Bouton, Laurent & Castanheira, Micael, 2008. "One Person, Many Votes: Divided Majority and Information Aggregation," CEPR Discussion Papers 6695, C.E.P.R. Discussion Papers.
  2. Sebastien Courtin & Matias Nunez, 2013. "A Map of Approval Voting Equilibria Outcomes," Working Papers hal-00914887, HAL.
  3. Laurent Bouton & Micael Castanheira De Moura & A. Llorente-Saguer, 2012. "Divided Majority and Information Aggregation: Theory and Experiment," ULB Institutional Repository 2013/136800, ULB -- Universite Libre de Bruxelles.
  4. Francois Maniquet & Massimo Morelli, 2010. "Approval Quorums Dominate Participation Quorums," Economics Working Papers ECO2010/13, European University Institute.
  5. Matias Nunez, 2013. "The Strategic Sincerity of Approval Voting," Post-Print hal-00917101, HAL.
  6. Sébastien Courtin & Matias Nùnez, 2013. "Dominance Solvable Approval Voting Games," THEMA Working Papers 2013-27, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  7. David S. Ahny & Santiago Oliveros, 2013. "Approval Voting and Scoring Rules with Common Values," Economics Discussion Papers 732, University of Essex, Department of Economics.
  8. Matías Núñez & Jean Laslier, 2014. "Preference intensity representation: strategic overstating in large elections," Social Choice and Welfare, Springer, vol. 42(2), pages 313-340, February.
  9. Johanna Goertz & Francois Maniquet, 2011. "On a Three-Alternative Condorcet Jury Theorem," CESifo Working Paper Series 3457, CESifo Group Munich.
  10. GOERTZ, Johanna & MANIQUET, François, 2013. "Large elections with multiple alternatives: a Condorcet Jury Theorem and inefficient equilibria," CORE Discussion Papers 2013023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Arnaud Dellis & Mandar Oak, 2013. "Multiple Votes, Multiple Candidacies and Polarization," School of Economics Working Papers 2013-02, University of Adelaide, School of Economics.

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