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The possibility of group choice: pairwise comparisons and merging functions

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  • Thomas Saaty
  • Luis Vargas

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  • Thomas Saaty & Luis Vargas, 2012. "The possibility of group choice: pairwise comparisons and merging functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 481-496, March.
    • Handle: RePEc:spr:sochwe:v:38:y:2012:i:3:p:481-496
    DOI: 10.1007/s00355-011-0541-6
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    References listed on IDEAS

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    1. Kevin W. S. Roberts, 1980. "Interpersonal Comparability and Social Choice Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(2), pages 421-439.
    2. Kalai, Ehud & Schmeidler, David, 1977. "Aggregation Procedure for Cardinal Preferences: A Formulation and Proof of Samuelson's Impossibility Conjecture," Econometrica, Econometric Society, vol. 45(6), pages 1431-1438, September.
    3. Thomas L. Saaty & Luis G. Vargas, 2006. "Decision Making with the Analytic Network Process," International Series in Operations Research and Management Science, Springer, number 978-0-387-33987-0.
    4. Campbell, Donald E, 1973. "Social Choice and Intensity of Preference," Journal of Political Economy, University of Chicago Press, vol. 81(1), pages 211-218, Jan.-Feb..
    5. Barrett, C.R. & Pattanaik, P.K. & Salles, M., 1990. "Rationality and Aggregation of Preferences in an Ordinally Fuzzy Framework," Institut des Mathématiques Economiques – Document de travail de l’I.M.E. (1974-1993) 9006, Institut des Mathématiques Economiques. LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS, Université de Bourgogne.
    6. Thomas L. Saaty, 2006. "The Analytic Network Process," International Series in Operations Research & Management Science, in: Decision Making with the Analytic Network Process, chapter 0, pages 1-26, Springer.
    7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    8. Ralph L. Keeney, 1976. "A Group Preference Axiomatization with Cardinal Utility," Management Science, INFORMS, vol. 23(2), pages 140-145, October.
    9. Kaneko, Mamoru & Nakamura, Kenjiro, 1979. "The Nash Social Welfare Function," Econometrica, Econometric Society, vol. 47(2), pages 423-435, March.
    10. Hylland, Aanund, 1980. "Aggregation Procedure for Cardinal Preferences: A Comment," Econometrica, Econometric Society, vol. 48(2), pages 539-542, March.
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    Cited by:

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    2. Moreno-Jiménez, Jose María & Vargas, Luis G., 2018. "Cognitive Multiple Criteria Decision Making and the Legacy of the Analytic Hierarchy Process/Decisión Multicriterio Cognitiva y el Legado del Proceso Analítico Jerárquico," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 36, pages 67-80, Enero.
    3. Matteo Brunelli & Bice Cavallo, 2020. "Incoherence measures and relations between coherence conditions for pairwise comparisons," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 613-635, December.
    4. Bice Cavallo & Livia D’Apuzzo, 2020. "Relations between coherence conditions and row orders in pairwise comparison matrices," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 637-656, December.
    5. Echchakoui Said, 2019. "Salespeople’s reward preference methodological analysis," Journal of Marketing Analytics, Palgrave Macmillan, vol. 7(1), pages 24-39, March.
    6. Yoon Y. Cho & Hyunju Woo, 2022. "Factors in Evaluating Online Learning in Higher Education in the Era of a New Normal Derived from an Analytic Hierarchy Process (AHP) Based Survey in South Korea," Sustainability, MDPI, vol. 14(5), pages 1-15, March.
    7. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez, 2016. "The precise consistency consensus matrix in a local AHP-group decision making context," Annals of Operations Research, Springer, vol. 245(1), pages 245-259, October.
    8. Gül Aslı Aksu & Nigar Küçük, 2020. "Evaluation of urban topography–biotope–population density relations for Istanbul–Beşiktaş urban landscape using AHP," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 22(2), pages 733-758, February.
    9. Sameer Ali & Abraham George, 2022. "Modelling a community resilience index for urban flood-prone areas of Kerala, India (CRIF)," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 113(1), pages 261-286, August.
    10. Alharasees, Omar & Kale, Utku, 2024. "Aviation Operators’ Total Loads Analysis by Multi-Criteria Decision-Making," Journal of Air Transport Management, Elsevier, vol. 118(C).
    11. Sasaki, Yasuo, 2023. "Strategic manipulation in group decisions with pairwise comparisons: A game theoretical perspective," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1133-1139.
    12. Rodríguez Sousa, A.A. & Parra-López, C. & Sayadi-Gmada, S. & Barandica, J.M. & Rescia, A.J., 2020. "A multifunctional assessment of integrated and ecological farming in olive agroecosystems in southwestern Spain using the Analytic Hierarchy Process," Ecological Economics, Elsevier, vol. 173(C).
    13. Bice Cavallo & Livia D’Apuzzo & Gaetano Vitale, 2018. "Reformulating Arrow’s Conditions in Terms of Cardinal Pairwise Comparison Matrices Defined Over a General Framework," Group Decision and Negotiation, Springer, vol. 27(1), pages 107-127, February.
    14. Natalie M. Scala & Jayant Rajgopal & Luis G. Vargas & Kim LaScola Needy, 2016. "Group Decision Making with Dispersion in the Analytic Hierarchy Process," Group Decision and Negotiation, Springer, vol. 25(2), pages 355-372, March.
    15. Saud Alshehri & Yacine Rezgui & Haijiang Li, 2015. "Disaster community resilience assessment method: a consensus-based Delphi and AHP approach," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 78(1), pages 395-416, August.

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