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On the superiority of approval vs plurality: a counterexample

  • Francesco De Sinopoli
  • Giovanna Iannantuoni

    ()

We present a simple voting environment where the Condorcet winner exists. Under plurality rule, the derived game has a stable set where such a candidate is elected with probability one. However, no stable set of the approval game elects the Condorcet winner with positive probability.

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File URL: http://dipeco.economia.unimib.it/repec/pdf/mibwpaper210.pdf
File Function: First version, 2011
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Paper provided by University of Milano-Bicocca, Department of Economics in its series Working Papers with number 210.

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Length: 7 pages
Date of creation: Jun 2011
Date of revision: Jun 2011
Handle: RePEc:mib:wpaper:210
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  1. E. Kohlberg & J.-F. Mertens, 1998. "On the Strategic Stability of Equilibria," Levine's Working Paper Archive 445, David K. Levine.
  2. DE SINOPOLI, Francesco, . "Sophisticated voting and equilibrium refinements under plurality rule," CORE Discussion Papers RP -1467, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. MERTENS, Jean-François, 1990. "The "small worlds" axiom for stable equilibria," CORE Discussion Papers 1990007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. DHILLON, Amrita & MERTENS, Jean-François, . "Relative utilitarianism," CORE Discussion Papers RP -1398, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Francesco Sinopoli & Bhaskar Dutta & Jean-François Laslier, 2006. "Approval voting: three examples," International Journal of Game Theory, Springer, vol. 35(1), pages 27-38, December.
  6. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
  7. Ehud Kalai & Dov Samet, 1982. "Persistent Equilibria in Strategic Games," Discussion Papers 515, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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