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Large elections with multiple alternatives: a Condorcet Jury Theorem and inefficient equilibria

  • GOERTZ, Johanna

    ()

    (University of Guelph, Canada & Université catholique de Louvain, CORE, Belgium)

  • MANIQUET, François

    ()

    (Université catholique de Louvain, CORE, Belgium)

We investigate whether the plurality rule aggregates information efficiently in large elections with multiple alternatives, in which voters have common interests. Voters’ preferences depend on an unknown state of nature, and they receive imprecise private signals about the state of nature prior to the election. Similar to two-alternative elections (e.g., Myer- son (1998)), there always exists an informationally efficient equilibrium in which the correct alternative is elected. However, we identify new types of coordination failures in elections with more than two alternatives that lead to new types of inefficient equilibria. These can have interesting new properties: Voters may vote informatively, but the correct alternative is not elected.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2013023.

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Date of creation: 22 May 2013
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Handle: RePEc:cor:louvco:2013023
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  1. Sourav Bhattacharya, 2006. "Preference Monotonicity and Information Aggregation in Elections," Working Papers 325, University of Pittsburgh, Department of Economics, revised Dec 2008.
  2. Duranton, Gilles & Martin, Philippe & Mayer, Thierry & Mayneris, Florian, 2010. "The Economics of Clusters: Lessons from the French Experience," OUP Catalogue, Oxford University Press, number 9780199592203, March.
  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. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
  5. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, 01.
  6. Myerson, Roger B., 2000. "Large Poisson Games," Journal of Economic Theory, Elsevier, vol. 94(1), pages 7-45, September.
  7. Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
  8. repec:cup:cbooks:9780521887427 is not listed on IDEAS
  9. repec:cup:cbooks:9780521715348 is not listed on IDEAS
  10. Wit, Jorgen, 1998. "Rational Choice and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 22(2), pages 364-376, February.
  11. 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).
  12. Timothy Feddersen & Wolfgang Pesendorfer, 1994. "Voting Behavior and Information Aggregation in Elections with Private Information," Discussion Papers 1117, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. David S. Ahny & Santiago Oliveros, 2013. "Approval Voting and Scoring Rules with Common Values," Economics Discussion Papers 732, University of Essex, Department of Economics.
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