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Approval Voting and Scoring Rules with Common Values

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  • Ahn, DS
  • Oliveros, S

Abstract

Consider the problem of deciding a winner among three alternatives when voters have common values, but private information regarding the values of the alternatives. We compare approval voting with other scoring rules. For any finite electorate, the best equilibrium under approval voting is more efficient than either plurality rule or negative voting. If any scoring rule yields a sequence of equilibria that aggregates information in large elections, then approval voting must do so as well.

Suggested Citation

  • Ahn, DS & Oliveros, S, 2013. "Approval Voting and Scoring Rules with Common Values," Economics Discussion Papers 8983, University of Essex, Department of Economics.
  • Handle: RePEc:esx:essedp:8983
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    References listed on IDEAS

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    1. 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.
    2. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, January.
    3. Giles, Adam & Postl, Peter, 2014. "Equilibrium and effectiveness of two-parameter scoring rules," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 31-52.
    4. Goertz, Johanna M.M. & Maniquet, François, 2011. "On the informational efficiency of simple scoring rules," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1464-1480, July.
    5. Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
    6. repec:ulb:ulbeco:2013/162238 is not listed on IDEAS
    7. McLennan, Andrew, 1998. "Consequences of the Condorcet Jury Theorem for Beneficial Information Aggregation by Rational Agents," American Political Science Review, Cambridge University Press, vol. 92(2), pages 413-418, June.
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    Cited by:

    1. 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.
    2. 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.
    3. Giles, Adam & Postl, Peter, 2014. "Equilibrium and effectiveness of two-parameter scoring rules," Mathematical Social Sciences, Elsevier, vol. 68(C), pages 31-52.
    4. Francesco Sinopoli & Giovanna Iannantuoni & Carlos Pimienta, 2014. "Counterexamples on the Superiority of Approval versus Plurality," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(5), pages 824-834, October.
    5. Núñez, Matías & Laslier, Jean-François, 2015. "Bargaining through Approval," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 63-73.
    6. Eyal Baharad & Leif Danziger, 2018. "Voting in Hiring Committees: Which “Almost” Rule is Optimal?," Group Decision and Negotiation, Springer, vol. 27(1), pages 129-151, February.
    7. Sébastien Courtin & Matías Núñez, 2017. "Dominance solvable approval voting games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(6), pages 1047-1068, December.
    8. Herrera, Helios & Llorente-Saguer, Aniol & McMurray, Joseph C., 2019. "Information aggregation and turnout in proportional representation: A laboratory experiment," Journal of Public Economics, Elsevier, vol. 179(C).
    9. Haradhan Kumar Mohajan, 2011. "Approval Voting: A Multi-outcome Election," KASBIT Business Journals (KBJ), Khadim Ali Shah Bukhari Institute of Technology (KASBIT), vol. 4, pages 77-88, December.
    10. GOERTZ, Johanna & MANIQUET, François, 2013. "Large elections with multiple alternatives: a Condorcet Jury Theorem and inefficient equilibria," LIDAM Discussion Papers CORE 2013023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. 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.
    12. Tsakas, Nikolas & Xefteris, Dimitrios, 2021. "Information aggregation with runoff voting," Journal of Economic Theory, Elsevier, vol. 191(C).
    13. François Durand & Antonin Macé & Matias Nunez, 2019. "Analysis of Approval Voting in Poisson Games," Working Papers halshs-02049865, HAL.
    14. Eyal Baharad & Leif Danziger, 2018. "Voting in Hiring Committees: Which "Almost" Rule is Optimal?," CESifo Working Paper Series 6851, CESifo.
    15. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, January.
    16. Baharad, Eyal & Danziger, Leif, 2018. "Voting in Hiring Committees: Which "Almost" Rule Is Optimal?," IZA Discussion Papers 11287, Institute of Labor Economics (IZA).
    17. François Durand & Antonin Macé & Matias Nunez, 2021. "Voter coordination in elections : a case for approval voting," Working Papers halshs-03162184, HAL.
    18. Baharad, Eyal & Danziger, Leif, 2018. "Voting in Hiring Committees: Which "Almost" Rule Is Optimal?," GLO Discussion Paper Series 185, Global Labor Organization (GLO).
    19. Nikolas Tsakas & Dimitrios Xefteris, 2019. "Stress-Testing the Runoff Rule in the Laboratory," University of Cyprus Working Papers in Economics 10-2019, University of Cyprus Department of Economics.

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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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