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Counterexamples on the Superiority of Approval versus Plurality
Authors:FRANCESCO DE SINOPOLI  GIOVANNA IANNANTUONI  CARLOS PIMIENTA
Institution:1. University of Verona;2. University of Milano–Bicocca;3. The University of New South Wales
Abstract:We present a simple voting environment with three candidates 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. We also analyze the robustness of such an example to changes in the number of voters and their preferences. To conclude, we present a generic four‐candidate voting environment with the same properties.
Keywords:
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