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Chapter Seventeen - Arrovian Social Choice Theory on Economic Domains

In: Handbook of Social Choice and Welfare


  • Le Breton, Michel
  • Weymark, John A.


This article surveys the literature that investigates the consistency of Arrow's social choice axioms when his unrestricted domain assumptions are replaced by domain conditions that incorporate the restrictions on agendas and preferences encountered in economic environments. Both social welfare functions and social choice correspondences are considered.

Suggested Citation

  • Le Breton, Michel & Weymark, John A., 2011. "Chapter Seventeen - Arrovian Social Choice Theory on Economic Domains," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 17, pages 191-299, Elsevier.
  • Handle: RePEc:eee:socchp:2-17

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    Cited by:

    1. Marek Pycia & M. Utku Ünver, 2021. "Arrovian Efficiency and Auditability in Discrete Mechanism Design," Boston College Working Papers in Economics 1044, Boston College Department of Economics.
    2. Bossert, Walter & Peters, Hans, 2014. "Single-basined choice," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 162-168.
    3. Duggan, John, 2016. "Limits of acyclic voting," Journal of Economic Theory, Elsevier, vol. 163(C), pages 658-683.
    4. Brandl, Florian & Brandt, Felix & Greger, Matthias & Peters, Dominik & Stricker, Christian & Suksompong, Warut, 2022. "Funding public projects: A case for the Nash product rule," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    5. James Nguyen, 2019. "The limitations of the Arrovian consistency of domains with a fixed preference," Theory and Decision, Springer, vol. 87(2), pages 183-199, September.
    6. Duddy, Conal & Piggins, Ashley, 2020. "A foundation for Pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 25-30.
    7. Florian Brandl & Felix Brandt & Matthias Greger & Dominik Peters & Christian Stricker & Warut Suksompong, 2022. "Funding public projects: A case for the Nash product rule," Post-Print hal-03818329, HAL.
    8. Cho, Wonki Jo, 2022. "How to add apples and oranges: Aggregating performances of different nature," Games and Economic Behavior, Elsevier, vol. 131(C), pages 222-244.
    9. Ulrich Eydam & Francesca Diluiso, 2022. "How to Redistribute the Revenues from Climate Policy? A Dynamic Perspective with Financially Constrained Households," CEPA Discussion Papers 45, Center for Economic Policy Analysis.
    10. Eden, Maya, 2020. "Aggregating Welfare Gains," CEPR Discussion Papers 14783, C.E.P.R. Discussion Papers.
    11. Rajsbaum, Sergio & Raventós-Pujol, Armajac, 2022. "A Combinatorial Topology Approach to Arrow's Impossibility Theorem," MPRA Paper 112004, University Library of Munich, Germany.

    More about this item


    social choice; Arrow's Theorem; restricted domains;
    All these keywords.

    JEL classification:

    • I0 - Health, Education, and Welfare - - General


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