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Strategic approval voting in a large electorate

Author

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  • Jean-François Laslier

    (Laboratoire d’Économétrie, École Polytechnique)

Abstract

The paper considers approval voting for a large population of voters. It is proven that, based on statistical information about candidate scores, rational voters vote sincerly. It is also proven that if a Condorcet-winner exists, this candidate is elected.

Suggested Citation

  • Jean-François Laslier, 2004. "Strategic approval voting in a large electorate," IDEP Working Papers 0405, Institut d'economie publique (IDEP), Marseille, France.
  • Handle: RePEc:iep:wpidep:0405
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    References listed on IDEAS

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    1. LeBreton, M., 1994. "Arrovian Social Choice on Economic Domains," G.R.E.Q.A.M. 94a37, Universite Aix-Marseille III.
    2. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2005. "Arrovian aggregation in economic environments: how much should we know about indifference surfaces?," Journal of Economic Theory, Elsevier, vol. 124(1), pages 22-44, September.
    3. Myerson, Roger B. & Weber, Robert J., 1993. "A Theory of Voting Equilibria," American Political Science Review, Cambridge University Press, vol. 87(1), pages 102-114, March.
    4. Myerson, Roger B., 2000. "Large Poisson Games," Journal of Economic Theory, Elsevier, vol. 94(1), pages 7-45, September.
    5. Steven J. Brams & Peter C. Fishburn, 2010. "Going from Theory to Practice: The Mixed Success of Approval Voting," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 19-37, Springer.
    6. Marc Fleurbaey & Kotaro Suzumura & Koichi Tadenuma, 2005. "The informational basis of the theory of fair allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(2), pages 311-341, April.
    7. Mayston, David J., 1982. "The generation of a social welfare function under ordinal preferences," Mathematical Social Sciences, Elsevier, vol. 3(2), pages 109-129, September.
    8. Michel Breton, 1997. "Arrovian Social Choice on Economic Domains," International Economic Association Series, in: Kenneth J. Arrow & Amartya Sen & Kotaro Suzumura (ed.), Social Choice Re-examined, chapter 4, pages 72-96, Palgrave Macmillan.
    9. Donaldson, David & Weymark, John A., 1988. "Social choice in economic environments," Journal of Economic Theory, Elsevier, vol. 46(2), pages 291-308, December.
    10. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
    11. Brams, Steven J. & Fishburn, Peter C., 1978. "Approval Voting," American Political Science Review, Cambridge University Press, vol. 72(3), pages 831-847, September.
    12. Jean-François Laslier & Karine van Der Straeten, 2003. "Election présidentielle : Une expérience pour un autre mode de scrutin," Working Papers hal-00242952, HAL.
    13. Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
    14. John Bone, 2003. "Simple Arrow-type propositions in the Edgeworth domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(1), pages 41-48.
    15. Michel L. Balinski & Rida Laraki & Jean-François Laslier & Karine van Der Straeten, 2003. "Le vote par assentiment : une expérience," Working Papers hal-00242959, HAL.
    16. Steven Brams & Peter Fishburn, 2005. "Going from theory to practice: the mixed success of approval voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 457-474, December.
    17. Elisha A. Pazner & David Schmeidler, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(4), pages 671-687.
    18. Brams, Steven J. & Fishburn, Peter C., 1985. "Rejoinder to Niemi," American Political Science Review, Cambridge University Press, vol. 79(3), pages 819-819, September.
    19. Bordes, Georges & Breton, Michel Le, 1989. "Arrovian theorems with private alternatives domains and selfish individuals," Journal of Economic Theory, Elsevier, vol. 47(2), pages 257-281, April.
    20. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 328-328.
    21. M. Fleurbaey & F. Maniquet, 2000. "Fair Social Orderings With Unequal Production Skills," THEMA Working Papers 2000-17, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    22. Marc Fleurbaey & Maurice Salles & John A. Weymark, 2008. "Justice, Political Liberalism and Utilitarianism," Post-Print hal-00246415, HAL.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Ngoie, Ruffin-Benoit M., 2012. "Choix social et partage équitable : Une analyse mathématique a posteriori des élections législatives et présidentielles de 2006 et 2011 en RDC [Social choice and fair sharing: An a posteriori mathe," MPRA Paper 64915, University Library of Munich, Germany.
    2. 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.
    3. Bouton, Laurent & Castanheira, Micael & Llorente-Saguer, Aniol, 2016. "Divided majority and information aggregation: Theory and experiment," Journal of Public Economics, Elsevier, vol. 134(C), pages 114-128.
    4. Matías Núñez, 2014. "The strategic sincerity of Approval voting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 157-189, May.
    5. Martin Gregor, 2013. "The Optimal Ballot Structure for Double-Member Districts," CERGE-EI Working Papers wp493, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    6. François Maniquet & Massimo Morelli, 2015. "Approval quorums dominate participation quorums," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 1-27, June.
    7. 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.
    8. Matias Nunez & Laslier Jean François Author-Workplace-Name : Ecole Polytechnique, 2010. "Overstating: A tale of two cities," THEMA Working Papers 2010-05, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    9. Ulle Endriss, 2013. "Sincerity and manipulation under approval voting," Theory and Decision, Springer, vol. 74(3), pages 335-355, March.
    10. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, January.
    11. Bouton, Laurent & Castanheira, Micael & Llorente-Saguer, Aniol, 2016. "Divided majority and information aggregation: Theory and experiment," Journal of Public Economics, Elsevier, vol. 134(C), pages 114-128.
    12. Jean-François Laslier, 2009. "The Leader Rule," Journal of Theoretical Politics, , vol. 21(1), pages 113-136, January.
    13. Jorge Gonzalez Suitt & Axel Guyon & Thibault Hennion & Rida Laraki & Xavier Starkloff & Sophie Thibault & Benjamin Favreau, 2014. "Vers un système de vote plus juste ?," Working Papers hal-01061100, HAL.
    14. Nicolas Houy, 2007. "Endogenously Weighted Voting," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 1079-1102, December.
    15. Arnaud Dellis & Mandar Oak, 2007. "Policy convergence under approval and plurality voting: the role of policy commitment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 229-245, September.
    16. André Blais & Jean-François Laslier & Nicolas Sauger & Karine van Der Straeten, 2008. "Sincere, strategic, and heuristic voting under four election rules: An experimental study," Working Papers hal-00335046, HAL.

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