Academic literature on the topic 'Apportionment paradoxes'

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Journal articles on the topic "Apportionment paradoxes"

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Bradberry, Brent A. "A Geometric View of Some Apportionment Paradoxes." Mathematics Magazine 65, no. 1 (1992): 3. http://dx.doi.org/10.2307/2691355.

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Bradberry, Brent A. "A Geometric View of Some Apportionment Paradoxes." Mathematics Magazine 65, no. 1 (1992): 3–17. http://dx.doi.org/10.1080/0025570x.1992.11995970.

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Bolun, Ion. "CHARACTERISTICS OF SOME APPORTIONMENT METHODS." Journal of Engineering Science XXVI (4) (December 23, 2019): 23–44. https://doi.org/10.5281/zenodo.3591578.

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In this work known main characteristics of 11 apportionment methods are systemized, including the Hondt, Hamilton, Sainte-Laguë and Huntington-Hill methods, and some new ones are determined by computer simulation. To such characteristics, refer the disproportionality of solutions and the percentage of Quota rule violation, of the Alabama, Population and New state paradoxes occur and of favoring of beneficiaries. For a large range of initial data, where determined the preferences order of the explored apportionment methods by each of these characteristics. No one of methods is preferable b
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Wintein, Stefan, and Conrad Heilmann. "Dividing the indivisible." Politics, Philosophy & Economics 17, no. 1 (2017): 51–74. http://dx.doi.org/10.1177/1470594x17715248.

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Philosophical theories of fairness propose to divide a good that several individuals have a claim to in proportion to the strength of their respective claims. We suggest that currently, these theories face a dilemma when dealing with a good that is indivisible. On the one hand, theories of fairness that use weighted lotteries are either of limited applicability or fall prey to an objection by Brad Hooker. On the other hand, accounts that do without weighted lotteries fall prey to three fairness paradoxes. We demonstrate that division methods from apportionment theory, which has hitherto been i
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Gölz, Paul, Dominik Peters, and Ariel D. Procaccia. "In This Apportionment Lottery, the House Always Wins." Operations Research, March 27, 2025. https://doi.org/10.1287/opre.2022.0419.

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Randomized Apportionment: A Fairer Distribution of Seats The question of how to apportion the seats of the U.S. House of Representatives to states has fueled century-long political debates and sparked mathematical theory. Traditional deterministic methods, such as the Hamilton method or the currently used Huntington–Hill method, may result in paradoxes or substantially deviate from proportionality. In their paper “In This Apportionment Lottery, the House Always Wins,” Gölz, Peters, and Procaccia propose a randomized approach that ensures each state receives its exact proportional share of seat
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Dančišin, Vladimír. "No-show paradox in Slovak party-list proportional system." Human Affairs 27, no. 1 (2017). http://dx.doi.org/10.1515/humaff-2017-0002.

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AbstractThe phenomenon of the paradoxes of the largest remainders methods has been studied by numerous authors. Nevertheless, the examples presented in their studies do not deal with the case where a party’s possible additional votes can directly lead to a loss in the party’s number of representatives. This paradox, which can be called the no-show apportionment paradox, has not previously been mentioned in the literature. It is based on the assumption that a voter’s favourite party may lose a seat if the voter votes honestly but get more seats if he or she abstains. The article gives simple ex
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McCune, David. "The Many Apportionment Paradoxes of the 2020 Iowa Democratic Presidential Caucuses." Mathematical Intelligencer, July 12, 2022. http://dx.doi.org/10.1007/s00283-022-10196-9.

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Book chapters on the topic "Apportionment paradoxes"

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Reyes, Christopher, and Vladik Kreinovich. "How to Solve the Apportionment Paradox." In Uncertainty, Constraints, and Decision Making. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-36394-8_19.

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"- Apportionment." In Puzzles, Paradoxes, and Problem Solving. Chapman and Hall/CRC, 2014. http://dx.doi.org/10.1201/b17826-29.

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"- Assessing Apportionment Methods." In Puzzles, Paradoxes, and Problem Solving. Chapman and Hall/CRC, 2014. http://dx.doi.org/10.1201/b17826-30.

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Wang, Kun, and Raymond Yu Wang. "Waste, Temporalities, and Critique on Event-Based Environment Justice." In Waste as a Critique. Oxford University PressOxford, 2025. https://doi.org/10.1093/9780198907077.003.0018.

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Abstract This chapter explores the intersection of waste, temporalities, and environmental justice in China’s production wastescapes. It emphasizes the gradual, insidious harms that accrue over protracted periods, often mirroring the slow violence of systemic and structural constraints. It theorizes the dispersed village industrial wastescapes and toxic agricultural wastescapes in China’s Pearl River Delta as a project of conceded harm. In this context, local communities and rural migrants actively participate in an opportunistic and short-term developmental trajectory co-orchestrated by the s
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Conference papers on the topic "Apportionment paradoxes"

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Konstantinov, M. M., G. B. Pelova, and K. D. Yanev. "Plain apportionments: History, paradoxes, generalizations, new methods." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14). AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4902460.

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