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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/150577
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/150577


    Title: Random Apportionment: AStochastic Solution to the Balinski-Young Impossibility
    Authors: 洪芷漪
    Hong, Jyy-I;Najnudel, Joseph;Rao, Siang-Mao;Yen, Ju-Yi
    Contributors: 應數系
    Keywords: Apportionment;Allocation;Alabama paradox;Population paradox;Balinski-Young impossibility
    Date: 2023-11
    Issue Date: 2024-03-26 15:24:22 (UTC+8)
    Abstract: 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.
    Relation: Methodology and Computing in Applied Probability, Vol.25, Article number 91
    Data Type: article
    DOI 連結: https://doi.org/10.1007/s11009-023-10070-x
    DOI: 10.1007/s11009-023-10070-x
    Appears in Collections:[應用數學系] 期刊論文

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