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We introduce three different qualifications of the reversal bias in theframework of social choice correspondences. For each of them, we prove that theMinimax social choice correspondence is immune to it if and only if the numberof voters and the number of alternatives satisfy suitable arithmeticalconditions. We prove those facts thanks to a new characterization of theMinimax social choice correspondence and using a graph theory approach. Wediscuss the same issue for the Borda and Copeland social choicecorrespondences.

On the reversal bias of the Minimax social choice correspondence