The probability that all weighted scoring rules elect the same winner

Monte Carlo simulation is used to obtain estimates of the probability that all weighted scoring rules elect the same winner for large electorates unde r the impartial culture condition. While this probability is relatively lar ge for three candidate elections (0.535), it decreases significantly as the number of candidates increases. The same general observations are made whe n considering the probability that all weighted scoring rules elect the Con dorcet winner, given that a Condorcet winner exists. (C) 2000 Elsevier Scie nce S.A. All rights reserved.