| 来源类型 | Working Paper |
| 规范类型 | 报告 |
| DOI | 10.3386/w13456 |
| 来源ID | Working Paper 13456 |
| Measuring the Compactness of Political Districting Plans | |
| Roland G. Fryer, Jr; Richard T. Holden | |
| 发表日期 | 2007-10-04 |
| 出版年 | 2007 |
| 语种 | 英语 |
| 摘要 | The United States Supreme Court has long recognized compactness as an important principle in assessing the constitutionality of political districting plans. We propose a measure of compactness based on the distance between voters within the same district relative to the minimum distance achievable -- which we coin the relative proximity index. We prove that any compactness measure which satisfies three desirable properties (anonymity of voters, efficient clustering, and invariance to scale, population density, and number of districts) ranks districting plans identically to our index. We then calculate the relative proximity index for the 106th Congress, requiring us to solve for each state's maximal compactness; an NP-hard problem. Using two properties of maximally compact districts, we prove they are power diagrams and develop an algorithm based on these insights. The correlation between our index and the commonly-used measures of dispersion and perimeter is -.22 and -.06, respectively. We conclude by estimating seat-vote curves under maximally compact districts for several large states. The fraction of additional seats a party obtains when their average vote increases is significantly greater under maximally compact districting plans, relative to the existing plans. |
| 主题 | Public Economics ; Subnational Fiscal Issues ; Other ; Law and Economics |
| URL | https://www.nber.org/papers/w13456 |
| 来源智库 | National Bureau of Economic Research (United States) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/571130 |
| 推荐引用方式 GB/T 7714 | Roland G. Fryer, Jr,Richard T. Holden. Measuring the Compactness of Political Districting Plans. 2007. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| w13456.pdf（2303KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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