{"title":"没有地理的政治分区","authors":"Gerdus Benadè , Nam Ho-Nguyen , J.N. Hooker","doi":"10.1016/j.orp.2022.100227","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":38055,"journal":{"name":"Operations Research Perspectives","volume":"9 ","pages":"Article 100227"},"PeriodicalIF":3.7000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2214716022000057/pdfft?md5=35e359117ed02d0bc25e155f16d8027a&pid=1-s2.0-S2214716022000057-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Political districting without geography\",\"authors\":\"Gerdus Benadè , Nam Ho-Nguyen , J.N. Hooker\",\"doi\":\"10.1016/j.orp.2022.100227\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>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.</p></div>\",\"PeriodicalId\":38055,\"journal\":{\"name\":\"Operations Research Perspectives\",\"volume\":\"9 \",\"pages\":\"Article 100227\"},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2214716022000057/pdfft?md5=35e359117ed02d0bc25e155f16d8027a&pid=1-s2.0-S2214716022000057-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Operations Research Perspectives\",\"FirstCategoryId\":\"91\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2214716022000057\",\"RegionNum\":4,\"RegionCategory\":\"管理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OPERATIONS RESEARCH & MANAGEMENT SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Perspectives","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2214716022000057","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
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.
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