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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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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 146 (2011)
Issue (Month): 4 (July)
Pages: 1464-1480

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Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1464-1480

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Web page: http://www.elsevier.com/locate/inca/622869

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Keywords: Efficient information aggregation Scoring rules Poisson games Approval voting;

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Cited by:
  1. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, 01.
  2. 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.
  3. 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).
  4. 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.
  5. MANIQUET, François & MORELLI, Massimo & ,, 2013. "Approval quorums dominate participation quorums," CORE Discussion Papers 2013054, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Sebastien Courtin & Matias Nunez, 2013. "Dominance Solvable Approval Voting Games," Working Papers hal-00914890, HAL.
  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. Arnaud Dellis & Mandar Oak, 2013. "Multiple Votes, Multiple Candidacies and Polarization," School of Economics Working Papers 2013-02, University of Adelaide, School of Economics.
  9. Sébastien Courtin & Matias Nunez, 2013. "A Map of Approval Voting Equilibria Outcomes," THEMA Working Papers 2013-31, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  10. Matías Núñez, 2014. "The strategic sincerity of Approval voting," Economic Theory, Springer, vol. 56(1), pages 157-189, May.
  11. Johanna Goertz & Francois Maniquet, 2011. "On a Three-Alternative Condorcet Jury Theorem," CESifo Working Paper Series 3457, CESifo Group Munich.

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