Sophisticated voting outcomes and agenda control

Necessary and sufficient conditions for an alternative to be a sophisticated voting outcome under an amendment procedure are derived. The uncovered set, as first defined by Miller (1980), is shown to be potentially reducible, and conditions are determined for which this reduction equals the set of sophisticated voting outcomes. In addition, simple methods are given for calculating both the uncovered set and its reduction.Presented at the 1984 Annual Meeting of the Public Choice Society, Phoenix AZ, March 1984. I would like to thank Gerald Kramer, Nicholas Miller, Norman Schofield, two anonymous referees, and especially Richard McKelvey for helpful suggestions and comments.