不分地域的政治区划
Political districting without geography
摘要：
地理因素，如毗连和紧凑性，是实际政治选区划分的必要因素。然而，在没有这些约束的情况下对问题的分析产生了数学见解，可以为现实世界的模型构建提供信息。特别是，它澄清了相称性和竞争力之间的鲜明对比，以及如何在适当制定的目标函数中克服这种对比。它还揭示了作为划分选区标准的备受讨论的效率差距的严重缺陷。
英文摘要：
Geographical considerations such as contiguity and compactness are necessary elements of political districting in practice. Yet an analysis of the problem without such constraints yields mathematical insights that can inform real-world model construction. In particular, it clarifies the sharp contrast between proportionality and competitiveness and how it might be overcome in a properly formulated objective function. It also reveals serious weaknesses of the much-discussed efficiency gap as a criterion for gerrymandering.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
