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The threshold aggregation

Author

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  • Aleskerov, Fuad
  • Chistyakov, Vyacheslav V.
  • Kalyagin, Valery

Abstract

For a social decision problem we define a new aggregation procedure--the threshold rule--for the construction of an output ranking from the individual m-graded rankings with an arbitrary integer m >= 2. An axiomatic characterization of the procedure is given.

Suggested Citation

  • Aleskerov, Fuad & Chistyakov, Vyacheslav V. & Kalyagin, Valery, 2010. "The threshold aggregation," Economics Letters, Elsevier, vol. 107(2), pages 261-262, May.
    • Handle: RePEc:eee:ecolet:v:107:y:2010:i:2:p:261-262
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    References listed on IDEAS

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    1. Aleskerov, Fuad & Yakuba, Vyacheslav & Yuzbashev, Dmitriy, 2007. "A `threshold aggregation' of three-graded rankings," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 106-110, January.
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    Cited by:

    1. Aleskerov, Fuad & Karabekyan, Daniel & Sanver, M. Remzi & Yakuba, Vyacheslav, 2012. "On the manipulability of voting rules: The case of 4 and 5 alternatives," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 67-73.
    2. Fuad Aleskerov & Vyacheslav Chistyakov & Valery Kalyagin, 2010. "Social threshold aggregations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(4), pages 627-646, October.
    3. Macé, Antonin, 2018. "Voting with evaluations: Characterizations of evaluative voting and range voting," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 10-17.
    4. Edith Elkind & Piotr Faliszewski & Arkadii Slinko, 2015. "Distance rationalization of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 345-377, September.
    5. Zahid Halim & Shafaq Khan, 2019. "A data science-based framework to categorize academic journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(1), pages 393-423, April.
    6. Antonin Macé, 2017. "Voting with evaluations: characterizations of evaluative voting and range voting," Working Papers halshs-01222200, HAL.
    7. Karabekyan, D., 2022. "On the stability of results for aggregation procedures," Journal of the New Economic Association, New Economic Association, vol. 57(5), pages 24-37.
    8. Chistyakov, V. & Chumakova, K., 2018. "Restoring Indifference Classes via Ordinal Numbers under the Discrete Leximin and Leximax Preference Orderings," Journal of the New Economic Association, New Economic Association, vol. 39(3), pages 12-31.
    9. Josep Freixas, 2022. "An Aggregation Rule Based on the Binomial Distribution," Mathematics, MDPI, vol. 10(23), pages 1-14, November.
    10. Fuad Aleskerov & Natalia Meshcheryakova & Alisa Nikitina & Sergey Shvydun, 2016. "Key Borrowers Detection by Long-Range Interactions," HSE Working papers WP BRP 56/FE/2016, National Research University Higher School of Economics.
    11. Antonin Macé, 2015. "Voting with Evaluations: When Should We Sum? What Should We Sum?," AMSE Working Papers 1544, Aix-Marseille School of Economics, France, revised 29 Oct 2015.
    12. Fuad Aleskerov & Daniel Karabekyan & M. Sanver & Vyacheslav Yakuba, 2011. "An individual manipulability of positional voting rules," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 431-446, December.

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