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Multi-stage voting, sequential elimination and Condorcet consistency

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  • Bag, Parimal Kanti
  • Sabourian, Hamid
  • Winter, Eyal

Abstract

A class of voting procedures based on repeated ballots and elimination of one candidate in each round is shown to always induce an outcome in the top cycle and is thus Condorcet consistent, when voters behave strategically. This is an important class as it covers multi-stage, sequential elimination extensions of all standard one-shot voting rules (with the exception of negative voting), the same one-shot rules that would fail Condorcet consistency. The necessity of repeated ballots and sequential elimination are demonstrated by further showing that Condorcet consistency would fail in all standard voting rules that violate one or both of these conditions.

Suggested Citation

  • Bag, Parimal Kanti & Sabourian, Hamid & Winter, Eyal, 2009. "Multi-stage voting, sequential elimination and Condorcet consistency," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1278-1299, May.
  • Handle: RePEc:eee:jetheo:v:144:y:2009:i:3:p:1278-1299
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    References listed on IDEAS

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    1. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-1151, November.
    2. Dhillon, Amrita & Lockwood, Ben, 2004. "When are plurality rule voting games dominance-solvable?," Games and Economic Behavior, Elsevier, vol. 46(1), pages 55-75, January.
    3. Eddie Dekel & Michele Piccione, 2000. "Sequential Voting Procedures in Symmetric Binary Elections," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 34-55, February.
    4. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    5. Douglas Gale & Hamid Sabourian, 2005. "Complexity and Competition," Econometrica, Econometric Society, vol. 73(3), pages 739-769, May.
    6. Moulin, Herve, 1980. "Implementing efficient, anonymous and neutral social choice functions," Journal of Mathematical Economics, Elsevier, vol. 7(3), pages 249-269, December.
    7. McKelvey, Richard D. & Niemi, Richard G., 1978. "A multistage game representation of sophisticated voting for binary procedures," Journal of Economic Theory, Elsevier, vol. 18(1), pages 1-22, June.
    8. Francesco Sinopoli & Bhaskar Dutta & Jean-François Laslier, 2006. "Approval voting: three examples," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(1), pages 27-38, December.
    9. Dutta, Bhaskar & Jackson, Matthew O. & Le Breton, Michel, 2002. "Voting by Successive Elimination and Strategic Candidacy," Journal of Economic Theory, Elsevier, vol. 103(1), pages 190-218, March.
    10. Battaglini, Marco, 2005. "Sequential voting with abstention," Games and Economic Behavior, Elsevier, vol. 51(2), pages 445-463, May.
    11. Sabourian, Hamid, 2004. "Bargaining and markets: complexity and the competitive outcome," Journal of Economic Theory, Elsevier, vol. 116(2), pages 189-228, June.
    12. Strumpf, Koleman S, 2002. "Strategic Competition in Sequential Election Contests," Public Choice, Springer, vol. 111(3-4), pages 377-397, June.
    13. Kalyan Chatterjee & Hamid Sabourian, 2000. "Multiperson Bargaining and Strategic Complexity," Econometrica, Econometric Society, vol. 68(6), pages 1491-1510, November.
    14. B. Douglas Bernheim & Antonio Rangel & Luis Rayo, 2006. "The Power of the Last Word in Legislative Policy Making," Econometrica, Econometric Society, vol. 74(5), pages 1161-1190, September.
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    Cited by:

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    2. Valerio Dotti, 2022. "No Country for Young People? The Rise of Anti-Immigration Politics in Ageing Societies," Working Papers 2022:14, Department of Economics, University of Venice "Ca' Foscari".
    3. Apesteguia, Jose & Ballester, Miguel A. & Masatlioglu, Yusufcan, 2014. "A foundation for strategic agenda voting," Games and Economic Behavior, Elsevier, vol. 87(C), pages 91-99.
    4. Marcus Pivato, 2016. "Statistical Utilitarianism," Studies in Political Economy, in: Maria Gallego & Norman Schofield (ed.), The Political Economy of Social Choices, pages 187-204, Springer.
    5. Pivato, Marcus, 2015. "Condorcet meets Bentham," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 58-65.
    6. Karine Van der Straeten & Jean-François Laslier & Nicolas Sauger & André Blais, 2010. "Strategic, sincere, and heuristic voting under four election rules: an experimental study," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 435-472, September.
    7. Jean-François Laslier, 2016. "Heuristic Voting Under the Alternative Vote: The Efficiency of “Sour Grapes” Behavior," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(1), pages 57-76, August.
    8. Tsakas, Nikolas & Xefteris, Dimitrios, 2021. "Information aggregation with runoff voting," Journal of Economic Theory, Elsevier, vol. 191(C).
    9. Matias Nunez & Gabriel Desranges & Mathieu Martin, 2014. "Multi-Stage Voting and Sequential Elimination with Productive Players," THEMA Working Papers 2014-07, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    10. González-Díaz, Julio & Herold, Florian & Domínguez, Diego, 2016. "Strategic sequential voting," BERG Working Paper Series 113, Bamberg University, Bamberg Economic Research Group.
    11. Pablo Amorós & M. Socorro Puy & Ricardo Martínez, 2016. "Closed primaries versus top-two primaries," Public Choice, Springer, vol. 167(1), pages 21-35, April.
    12. Pablo Amorós & Ricardo Martínez & Bernardo Moreno & M. Puy, 2012. "Deciding whether a law is constitutional, interpretable, or unconstitutional," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 1-14, March.
    13. Dotti, Valerio, 2020. "No Country for Young People? The Rise of Anti-immigration Populism in Ageing Societies," MPRA Paper 100226, University Library of Munich, Germany.
    14. Amorós, P. & Martínez, Ricardo & Puy, M. Socorro, 2013. "The closed primaries versus the top-two primary," UC3M Working papers. Economics we1319, Universidad Carlos III de Madrid. Departamento de Economía.
    15. Akira Okada & Ryoji Sawa, 2016. "An evolutionary approach to social choice problems with q-quota rules," KIER Working Papers 936, Kyoto University, Institute of Economic Research.
    16. Healy, Paul J. & Peress, Michael, 2015. "Preference domains and the monotonicity of condorcet extensions," Economics Letters, Elsevier, vol. 130(C), pages 21-23.

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