Abstract:
|
Two voters must choose between two alternatives. Voters vote
in a fixed linear order. If there is not unanimity for any alternative, the
procedure is repeated. At every stage, each voter prefers the same alternative to the other, has utilities decreasing with stages, and has an impatience degree representing when it is worth voting for the non-preferred
alternative now rather than waiting for the next stage and voting for the
preferred alternative. Intuition suggests that the more patient voter will
get his preferred alternative. I found that in the unique solution of the
sequential voting procedure obtained by backward induction, the first
voter get his preferred alternative at the first stage independently from
his impatience rate.
Keywords: sequential voting, impatience rate, multi-stage voting, unanimity |