Boundedness of the range of a strategy-proof social choice function
研究了在可分公共品供给中,防策略性社会选择函数的值域有界性所需的条件,并证明了在偏好顶点非有限时,无需假设值域紧致即可推广Barberà等人的中位数投票者定理。
For the provision of divisible public goods, relatively weak restrictions on the domain of a strategy-proof social choice function are identified that ensure that its range is bounded. Domain restrictions are also identified for which strategy-proofness implies that the range and the option sets of a social choice function are compact. To illustrate the usefulness of these results, it is shown how a theorem about generalized median voter schemes due to Barberà, Massó, and Serizawa can be established without their assumption that the range of a social choice function is compact provided that the tops of the preferences are not restricted to be finite.