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A Map of Approval Voting Equilibria Outcomes

Author Info

Listed author(s):
  • Sébastien Courtin

    ()

    (THEMA, Universite de Cergy-Pontoise)

  • Matias Nunez

    ()

    (THEMA, University of Cergy-Pontoise, France.)

Abstract

It is commonly accepted that the multiplicity of equilibria is ubiquitous in preference aggregation games with any voting method. We prove that this multiplicity is greatly reduced under some mild restrictions over social preferences when each voter can vote for as many candidates as she wishes (the Approval voting method). For scenarios with three candidates, we can hence build a map that associates any preference profile to its set of equilibria outcomes; this map is very close to the most well-known Tournament solutions.

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Paper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 2013-31.

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Date of creation: 2013
Handle: RePEc:ema:worpap:2013-31
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Keywords: Approval voting; Condorcet winner; Voting equilibria; Asymmetric Societies;

Other versions of this item:

Find related papers by JEL classification:
  • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
  • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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  1. Jean-François Laslier, 2004. "Strategic Approval Voting in a large electorate," Working Papers hal-00242909, HAL.
  2. 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.
  3. Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
  4. 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.
  5. Francesco De Sinopoli, 2000. "Sophisticated voting and equilibrium refinements under plurality rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 655-672.
  6. Kei Kawai & Yasutora Watanabe, 2013. "Inferring Strategic Voting," American Economic Review, American Economic Association, vol. 103(2), pages 624-662, April.
  7. Sebastien Courtin & Matias Nunez, 2013. "Dominance Solvable Approval Voting Games," Working Papers hal-00914890, HAL.
  8. repec:esx:essedp:732 is not listed on IDEAS
  9. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, 01.
  10. Ahn, David S. & Oliveros, Santiago, 2016. "Approval voting and scoring rules with common values," Journal of Economic Theory, Elsevier, vol. 166(C), pages 304-310.
  11. 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.
  12. Francesco De Sinopoli & Giovanna Iannantuoni, 2011. "On the superiority of approval vs plurality: a counterexample," Working Papers 210, University of Milano-Bicocca, Department of Economics, revised Jun 2011.
  13. Myerson, Roger B., 2000. "Large Poisson Games," Journal of Economic Theory, Elsevier, vol. 94(1), pages 7-45, September.
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Cited by:

  1. Núñez, Matías & Laslier, Jean-François, 2015. "Bargaining through Approval," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 63-73.

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