Articles

Random walks and voting theory

N. VIEILLE

Mathematics of Operations Research

février 2004, vol. 29, n°1, pp.106-114

Départements : Economie et Sciences de la décision, GREGHEC (CNRS)


Voters' preferences depend on available information. Following Case-Based Decision Theory, we assume that this information is processed additively. We prove that the collective preferences deduced from the individual ones through majority vote cannot be arbitrary, as soon as a winning quota is required. The proof is based on a new result on random walks


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