IDEAS home Printed from https://ideas.repec.org/p/ind/igiwpp/2020-020.html

Strategy-proof rules on partially single-peaked domains

Author

Listed:
  • Gopakumar Achuthankutty

    (Indira Gandhi Institute of Development Research)

  • Souvik Roy

    (Economic Research Unit, Indian Statistical Institute, Kolkata)

Abstract

We consider domains that exhibit single-peakedness only over a subset of linearly ordered set of alternatives. We call such domains partially single-peaked and provide a characterization of the unanimous and strategy-proof social choice functions on these domains. We obtain the following interesting auxiliary results: (i) we characterize all unanimous and strategyproof social choice functions on generalized top-connected domains, which are an important sub-class of the maximal single-peaked domain, (ii) we show that strategy-proofness and group strategy-proofness are equivalent on partially single-peaked domains, and (iii) lastly, we identify and characterize the unanimous and strategy-proof SCFs on partially single-peaked domains that are close to being anonymous. As an application of this result, we obtain a characterization of the unanimous and strategy-proof social choice functions on multi-peaked domains (Stiglitz (1974), Epple and Romano (1996a)), multiple single-peaked domains (Reffgen (2015)) and single-peaked domains on graphs (Demange (1982)), Schummer and Vohra (2002)).

Suggested Citation

  • Gopakumar Achuthankutty & Souvik Roy, 2020. "Strategy-proof rules on partially single-peaked domains," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2020-020, Indira Gandhi Institute of Development Research, Mumbai, India.
    • Handle: RePEc:ind:igiwpp:2020-020
    as

    Download full text from publisher

    File URL: http://www.igidr.ac.in/pdf/publication/WP-2020-020.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shurojit Chatterji & Huaxia Zeng, 2022. "A Taxonomy of Non-dictatorial Unidimensional Domains," Papers 2201.00496, arXiv.org, revised Oct 2022.
    2. Souvik Roy & Soumyarup Sadhukhan, 2024. "Domains where the uniform rule is well behaved," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(3), pages 1033-1071, September.
    3. Chatterji, Shurojit & Roy, Souvik & Sadhukhan, Soumyarup & Sen, Arunava & Zeng, Huaxia, 2022. "Probabilistic fixed ballot rules and hybrid domains," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    4. Chatterji, Shurojit & Zeng, Huaxia, 2023. "A taxonomy of non-dictatorial unidimensional domains," Games and Economic Behavior, Elsevier, vol. 137(C), pages 228-269.
    5. Karmokar, Madhuparna & Roy, Souvik & Storcken, Ton, 2019. "A characterization of possibility domains under Pareto optimality and group strategy-proofness," Economics Letters, Elsevier, vol. 183(C), pages 1-1.
    6. De, Parikshit & Sharma, Aditi, 2024. "Strategy-proof Non-dictatorial Social Choice Functions in Clockwise Circular Domain," MPRA Paper 122827, University Library of Munich, Germany.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ind:igiwpp:2020-020. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Shamprasad M. Pujar (email available below). General contact details of provider: https://edirc.repec.org/data/igidrin.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.