Econ Papers Daily / 期刊论文
分配与投票难题图册
Picture book of apportionment and voting difficulties
摘要
The geometry associated with apportionment and voting methods enables us to “see" what difficulties will arise, why certain complexities are inevitable, how to create supporting examples, and identify similarities of the problems afflicting both areas. Although several new results become apparent, such as the harsh consequences for a method satisfying IIA and a replacement for the modified divisors that are used with monotone apportionment approaches, the emphasis is to use this picture book approach to explain why certain behaviors must happen.
中文摘要
与分配和投票方法相关的几何结构使我们能够“看到”将会出现哪些困难、为什么某些复杂性不可避免、如何构建支持性示例，以及识别困扰这两个领域的问题的相似之处。尽管若干新结果变得显而易见，例如满足IIA的方法所面临的严酷后果，以及用于单调分配方法的修正除数的替代方案，但重点在于使用这种图景式方法来解释为什么某些行为必然发生。