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題名 Random Apportionment: AStochastic Solution to the Balinski-Young Impossibility
作者 洪芷漪
Hong, Jyy-I;Najnudel, Joseph;Rao, Siang-Mao;Yen, Ju-Yi
貢獻者 應數系
關鍵詞 Apportionment; Allocation; Alabama paradox; Population paradox; Balinski-Young impossibility
日期 2023-11
上傳時間 26-Mar-2024 15:24:22 (UTC+8)
摘要 An apportionment paradox occurs when the rules for apportionment in a political system or distribution system produce results which seem to violate common sense. For example, The Alabama paradox occurs when the total number of seats increases but decreases the allocated number of a state and the population paradox occurs when the population of a state increases but its allocated number of seats decreases. The Balinski-Young impossibility theorem showed that there is no deterministic apportionment method that can avoid the violation of the quota rule and doesn’t have both the Alabama and the population paradoxes. In this paper, we propose a randomized apportionment method as a stochastic solution to the Balinski-Young impossibility.
關聯 Methodology and Computing in Applied Probability, Vol.25, Article number 91
資料類型 article
DOI https://doi.org/10.1007/s11009-023-10070-x
dc.contributor 應數系
dc.creator (作者) 洪芷漪
dc.creator (作者) Hong, Jyy-I;Najnudel, Joseph;Rao, Siang-Mao;Yen, Ju-Yi
dc.date (日期) 2023-11
dc.date.accessioned 26-Mar-2024 15:24:22 (UTC+8)-
dc.date.available 26-Mar-2024 15:24:22 (UTC+8)-
dc.date.issued (上傳時間) 26-Mar-2024 15:24:22 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/150577-
dc.description.abstract (摘要) An apportionment paradox occurs when the rules for apportionment in a political system or distribution system produce results which seem to violate common sense. For example, The Alabama paradox occurs when the total number of seats increases but decreases the allocated number of a state and the population paradox occurs when the population of a state increases but its allocated number of seats decreases. The Balinski-Young impossibility theorem showed that there is no deterministic apportionment method that can avoid the violation of the quota rule and doesn’t have both the Alabama and the population paradoxes. In this paper, we propose a randomized apportionment method as a stochastic solution to the Balinski-Young impossibility.
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Methodology and Computing in Applied Probability, Vol.25, Article number 91
dc.subject (關鍵詞) Apportionment; Allocation; Alabama paradox; Population paradox; Balinski-Young impossibility
dc.title (題名) Random Apportionment: AStochastic Solution to the Balinski-Young Impossibility
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1007/s11009-023-10070-x
dc.doi.uri (DOI) https://doi.org/10.1007/s11009-023-10070-x