D. Austensmith et Js. Banks, INFORMATION AGGREGATION, RATIONALITY, AND THE CONDORCET JURY THEOREM, The American political science review, 90(1), 1996, pp. 34-45
The Condorcet July Theorem states that majorities are more likely than
any single individual to select the ''better'' of two alternatives wh
en there exists uncertainty about which of the two alternatives is in
fact I preferred Most extant proofs of this theorem implicitly make th
e behavioral assumption that individuals vote ''sincerely'' in the col
lective decision making, a seemingly innocuous assumption, given that
individuals are taken to possess a common preference for selecting the
better alternative. However, in the model analyzed here we find that
sincere behavior by all individuals is not rational even when individu
als have such a common preference. In particular, sincere voting does
not constitute a Nash equilibrium. A satisfactory rational choice foun
dation for the claim that majorities invariably ''do better'' than ind
ividuals, therefore, has yet to be derived.