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On the (sequential) majority choice of public good size and location

机译：关于公共物品的大小和位置的（顺序）多数选择

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摘要

This article studies majority voting over the size and location of a public good when voters differ both in income and in their preferences for the public good location. Public good provision is financed either by a lump sum tax or by a proportional income tax. We analyze both the simultaneous and the sequential determinations of the public good’s size and location. We show that, while the choice of the type of public good follows the traditional median logic, the majoritarian determination of the taxation rate need not coincide with the preferences of a median income citizen. With lump sum financing, income heterogeneity plays no role and the sequential equilibrium consists of the median location together with the public good level most-preferred by the individual located at the median distance from the median. This policy bundle also constitutes an equilibrium with simultaneous voting in the special case of a uniform bivariate distribution of individuals’ income and location. With proportional taxation, there is no policy equilibrium with simultaneous voting. We offer a complete characterization of the equations describing the sequential equilibrium in the general case and we show why and how our results depart from those most-preferred by the median income individual located at the median distance from the median. We also compare these majority voting allocations with the socially optimal one.
机译：当选民的收入和偏好对公共物品的位置有所不同时，本文将研究大多数投票者对公共物品的大小和位置的投票。公共物品准备金由一次总付税或成比例的所得税提供。我们分析公共物品的大小和位置的同时确定和顺序确定。我们表明，虽然公共物品类型的选择遵循传统的中位数逻辑，但税率的多数决定性不一定与中位数收入公民的偏好相吻合。在一次性融资的情况下，收入异质性不起作用，顺序均衡由中位数位置和公共物品水平组成，最受位于中位数距离中位数的个人所偏爱。在特殊的情况下，个人收入和地理位置的二元分布均匀，该政策捆绑也构成了同时投票的均衡。采用比例征税时，同时进行投票不会实现政策平衡。我们提供了描述一般情况下顺序均衡的方程的完整描述，并说明了为什么和如何偏离最偏向于中位数距离中位数距离的中位数收入个体的结果。我们还将这些多数投票分配与社会最优分配进行比较。

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