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We consider voting games induced by anonymous and top-unanimous social choice functions. The class of such social choice functions is quite broad, including every “t-refinement” of the Plurality Rule, Plurality with a Runoff, the Majoritarian Compromise and the Single Transferable Vote,...
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We give a complete characterization of preference domains over which the plurality rule is Nash implementable. We show that the plurality rule fails Nash implementability on every domain except those which are "monotonically trivial".
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