Abstract.
Voters determine their preferences over alternatives based on cases (or arguments) that are raised in the public debate. Each voter is characterized by a matrix, measuring how much support each case lends to each alternative, and her ranking is additive in cases. We show that the majority vote in such a society can be any function from sets of cases to binary relations over alternatives. A similar result holds for voting with quota in the case of two alternatives.
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We wish to thank Enriqueta Aragones, Jean-Francois Laslier, Andrew Postlewaite, and David Schmeidler for the comments and discussions. We thank Lada Burde for her help in proofreading.
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Gilboa, I., Vieille, N. Majority vote following a debate. Soc Choice Welfare 23, 115–125 (2004). https://doi.org/10.1007/s00355-003-0243-9
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DOI: https://doi.org/10.1007/s00355-003-0243-9