IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/110994.html
   My bibliography  Save this paper

Local incentive compatibility in ordinal type-spaces

Author

Listed:
  • Kumar, Ujjwal
  • Roy, Souvik

Abstract

We explore the relation between different notions of local incentive compatibility (LIC) and incentive compatibility (IC) on ordinal type-spaces. In this context, we introduce the notion of ordinal local global equivalent (OLGE) and cardinal local global equivalent (CLGE) environments. First, we establish the equivalence between the two environments on strict ordinal type-spaces. Next, we consider ordinal type-spaces admitting indifference. We introduce the notion of almost everywhere IC and strong LIC, and provide a necessary and sufficient condition on ordinal type spaces for their equivalence. Finally, we provide results on how to (minimally) check the IC property of a given mechanism on any ordinal type-space and show that local types along with the boundary types form a minimal set of incentive constraints that imply full incentive compatibility.

Suggested Citation

  • Kumar, Ujjwal & Roy, Souvik, 2021. "Local incentive compatibility in ordinal type-spaces," MPRA Paper 110994, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:110994
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/110994/1/MPRA_paper_110994.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Stiglitz, J. E., 1974. "The demand for education in public and private school systems," Journal of Public Economics, Elsevier, vol. 3(4), pages 349-385, November.
    2. Mishra, Debasis & Pramanik, Anup & Roy, Souvik, 2016. "Local incentive compatibility with transfers," Games and Economic Behavior, Elsevier, vol. 100(C), pages 149-165.
    3. Carbajal, Juan Carlos & Müller, Rudolf, 2015. "Implementability under monotonic transformations in differences," Journal of Economic Theory, Elsevier, vol. 160(C), pages 114-131.
    4. Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
    5. Ireland, Norman J., 1990. "The mix of social and private provision of goods and services," Journal of Public Economics, Elsevier, vol. 43(2), pages 201-219, November.
    6. Ron Lavi & Ahuva Mu’alem & Noam Nisan, 2009. "Two simplified proofs for Roberts’ theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(3), pages 407-423, March.
    7. Epple, Dennis & Romano, Richard E, 1996. "Public Provision of Private Goods," Journal of Political Economy, University of Chicago Press, vol. 104(1), pages 57-84, February.
    8. Kumar, Ujjwal & Roy, Souvik & Sen, Arunava & Yadav, Sonal & Zeng, Huaxia, 2021. "Local global equivalence in voting models: a characterization and applications," Theoretical Economics, Econometric Society, vol. 16(4), November.
    9. Gabriel Carroll, 2012. "When Are Local Incentive Constraints Sufficient?," Econometrica, Econometric Society, vol. 80(2), pages 661-686, March.
    10. Mark Armstrong, 2000. "Optimal Multi-Object Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 455-481.
    11. Berga, Dolors, 1998. "Strategy-proofness and single-plateaued preferences," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 105-120, March.
    12. Mishra, Debasis & Pramanik, Anup & Roy, Souvik, 2014. "Multidimensional mechanism design in single peaked type spaces," Journal of Economic Theory, Elsevier, vol. 153(C), pages 103-116.
    13. Barzel, Yoram, 1973. "Private Schools and Public School Finance," Journal of Political Economy, University of Chicago Press, vol. 81(1), pages 174-186, Jan.-Feb..
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Kumar, Ujjwal & Roy, Souvik, 2024. "Local incentive compatibility on gross substitutes and other non-convex type-spaces," Journal of Mathematical Economics, Elsevier, vol. 112(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Roy, Souvik & Sadhukhan, Soumyarup, 2021. "A unified characterization of the randomized strategy-proof rules," Journal of Economic Theory, Elsevier, vol. 197(C).
    2. Mishra, Debasis & Pramanik, Anup & Roy, Souvik, 2016. "Local incentive compatibility with transfers," Games and Economic Behavior, Elsevier, vol. 100(C), pages 149-165.
    3. Kumar, Ujjwal & Roy, Souvik, 2024. "Local incentive compatibility on gross substitutes and other non-convex type-spaces," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    4. Achuthankutty, Gopakumar & Roy, Souvik, 2017. "Strategy-proof Rules on Partially Single-peaked Domains," MPRA Paper 82267, University Library of Munich, Germany.
    5. Epple, Dennis & Romano, Richard E., 1996. "Ends against the middle: Determining public service provision when there are private alternatives," Journal of Public Economics, Elsevier, vol. 62(3), pages 297-325, November.
    6. André Berger & Rudolf Müller & Seyed Hossein Naeemi, 2017. "Characterizing implementable allocation rules in multi-dimensional environments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 367-383, February.
    7. Zanola, Roberto, 2000. "Public goods versus publicly provided private goods in a two-class economy," POLIS Working Papers 12, Institute of Public Policy and Public Choice - POLIS.
    8. Atella, Vincenzo & Deb, Partha, 2008. "Are primary care physicians, public and private sector specialists substitutes or complements? Evidence from a simultaneous equations model for count data," Journal of Health Economics, Elsevier, vol. 27(3), pages 770-785, May.
    9. Paul H. Edelman & John A. Weymark, 2021. "Dominant strategy implementability and zero length cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1091-1120, November.
    10. Rim Lahmandi‐Ayed & Hejer Lasram & Didier Laussel, 2021. "Is partial privatization of universities a solution for higher education?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(6), pages 1174-1198, December.
    11. Levy, Gilat, 2004. "Public education for the minority, private education for the majority," LSE Research Online Documents on Economics 3617, London School of Economics and Political Science, LSE Library.
    12. Gilat Levy, 2005. "The Politics of Public Provision of Education," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(4), pages 1507-1534.
    13. Roy, Souvik & Kumar, Ujjwal, 2021. "Local incentive compatibility in non-convex type-spaces," MPRA Paper 110872, University Library of Munich, Germany.
    14. Roine, Jesper, 2003. "Downsian competition in the absence of a Condorcet winner," SSE/EFI Working Paper Series in Economics and Finance 528, Stockholm School of Economics.
    15. Besley, Timothy & Hall, John & Preston, Ian, 1999. "The demand for private health insurance: do waiting lists matter?," Journal of Public Economics, Elsevier, vol. 72(2), pages 155-181, May.
    16. John Hall & Ian Preston, 1998. "Public and private choice in UK health insurance," IFS Working Papers W98/19, Institute for Fiscal Studies.
    17. 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).
    18. Mishra, Debasis, 2016. "Ordinal Bayesian incentive compatibility in restricted domains," Journal of Economic Theory, Elsevier, vol. 163(C), pages 925-954.
    19. Hejer Lasram & Didier Laussel, 2019. "The determination of public tuition fees in a mixed education system: A majority voting model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(6), pages 1056-1073, December.
    20. Buckley, Neil & Cuff, Katherine & Hurley, Jeremiah & Mestelman, Stuart & Thomas, Stephanie & Cameron, David, 2015. "Support for public provision of a private good with top-up and opt-out: A controlled laboratory experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 111(C), pages 177-196.

    More about this item

    Keywords

    point-wise local incentive compatibility; adjusted local incentive compatibility; uniform local incentive compatibility; (global) incentive compatibility; ordinal type-spaces;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • 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:pra:mprapa:110994. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.