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On the complexity of achieving proportional representation

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  • Ariel Procaccia
  • Jeffrey Rosenschein
  • Aviv Zohar

Abstract

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Suggested Citation

  • Ariel Procaccia & Jeffrey Rosenschein & Aviv Zohar, 2008. "On the complexity of achieving proportional representation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 353-362, April.
  • Handle: RePEc:spr:sochwe:v:30:y:2008:i:3:p:353-362
    DOI: 10.1007/s00355-007-0235-2
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    Citations

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    Cited by:

    1. Dominik Peters & Lan Yu & Hau Chan & Edith Elkind, 2022. "Preferences Single-Peaked on a Tree: Multiwinner Elections and Structural Results," Post-Print hal-03834509, HAL.
    2. Demuynck, Thomas, 2011. "The computational complexity of rationalizing boundedly rational choice behavior," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 425-433.
    3. Haris Aziz & Barton E. Lee, 2020. "The expanding approvals rule: improving proportional representation and monotonicity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 1-45, January.
    4. Haris Aziz & Markus Brill & Vincent Conitzer & Edith Elkind & Rupert Freeman & Toby Walsh, 2017. "Justified representation in approval-based committee voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 461-485, February.
    5. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2020. "On Some k -scoring Rules for Committee Elections: Agreement and Condorcet Principle," Revue d'économie politique, Dalloz, vol. 130(5), pages 699-725.
    6. Thomas Demuynck, 2014. "The computational complexity of rationalizing Pareto optimal choice behavior," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(3), pages 529-549, March.
    7. Piotr Faliszewski & Arkadii Slinko & Kolja Stahl & Nimrod Talmon, 2018. "Achieving fully proportional representation by clustering voters," Journal of Heuristics, Springer, vol. 24(5), pages 725-756, October.
    8. Edith Elkind & Jérôme Lang & Abdallah Saffidine, 2015. "Condorcet winning sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 493-517, March.
    9. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2019. "On some k-scoring rules for committee elections: agreement and Condorcet Principle," Working Papers hal-02147735, HAL.
    10. Piotr Faliszewski & Piotr Skowron & Arkadii Slinko & Nimrod Talmon, 2018. "Multiwinner analogues of the plurality rule: axiomatic and algorithmic perspectives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(3), pages 513-550, October.
    11. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2018. "The Chamberlin-Courant Rule and the k-Scoring Rules: Agreement and Condorcet Committee Consistency," Working Papers hal-01757761, HAL.
    12. Edith Elkind & Piotr Faliszewski & Piotr Skowron & Arkadii Slinko, 2017. "Properties of multiwinner voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 599-632, March.
    13. Fabrice Talla Nobibon & Laurens Cherchye & Yves Crama & Thomas Demuynck & Bram De Rock & Frits C. R. Spieksma, 2016. "Revealed Preference Tests of Collectively Rational Consumption Behavior: Formulations and Algorithms," Operations Research, INFORMS, vol. 64(6), pages 1197-1216, December.
    14. Darmann, Andreas, 2013. "How hard is it to tell which is a Condorcet committee?," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 282-292.

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