IDEAS home Printed from https://ideas.repec.org/p/hal/spmain/hal-03936063.html
   My bibliography  Save this paper

The Existence of Equilibrium Flows

Author

Listed:
  • Alfred Galichon

    (CIMS - Courant Institute of Mathematical Sciences [New York] - NYU - New York University [New York] - NYU - NYU System, ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

  • Larry Samuelson

    (Yale University [New Haven])

  • Lucas Vernet

    (Centre de recherche de la Banque de France - Banque de France, ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

Abstract

Galichon, Samuelson and Vernet (2022) introduced a class of problems, equilibrium flow problems, that nests several classical economic models such as bipartite matching models, minimum-cost flow problems and hedonic pricing models. We establish conditions for the existence of equilibrium prices in the equilibrium flow problem, in the process generalizing Hall's [2] theorem.

Suggested Citation

  • Alfred Galichon & Larry Samuelson & Lucas Vernet, 2022. "The Existence of Equilibrium Flows," SciencePo Working papers Main hal-03936063, HAL.
    • Handle: RePEc:hal:spmain:hal-03936063
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-03936063
    as

    Download full text from publisher

    File URL: https://sciencespo.hal.science/hal-03936063/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Georg Nöldeke & Larry Samuelson, 2018. "The Implementation Duality," Econometrica, Econometric Society, vol. 86(4), pages 1283-1324, July.
    Full references (including those not matched with items on IDEAS)

    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. Chambers, Christopher P. & Miller, Alan D. & Yenmez, M. Bumin, 2020. "Closure and preferences," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 161-166.
    2. Malik, Komal & Mishra, Debasis, 2021. "Pareto efficient combinatorial auctions: Dichotomous preferences without quasilinearity," Journal of Economic Theory, Elsevier, vol. 191(C).
    3. Ruodu Wang & Zhenyuan Zhang, 2022. "Simultaneous Optimal Transport," Papers 2201.03483, arXiv.org, revised May 2023.
    4. Alfred Galichon & Larry Samuelson & Lucas Vernet, 2022. "The Existence of Equilibrium Flows," Papers 2209.04426, arXiv.org.
    5. Alfred Galichon & Larry Samuelson & Lucas Vernet, 2022. "Monotone Comparative Statics for Equilibrium Problems," Papers 2207.06731, arXiv.org.
    6. Tohmé Fernando, 2023. "Dynamic Arrangements in Economic Theory: Level-Agnostic Representations," Asociación Argentina de Economía Política: Working Papers 4694, Asociación Argentina de Economía Política.
    7. Pierre-Andr'e Chiappori & Robert McCann & Brendan Pass, 2016. "Multidimensional matching," Papers 1604.05771, arXiv.org.
    8. Carlier, Guillaume & Zhang, Kelvin Shuangjian, 2020. "Existence of solutions to principal–agent problems with adverse selection under minimal assumptions," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 64-71.
    9. Alfred Galichon & Simon Weber, 2024. "Matching under Imperfectly Transferable Utility," Papers 2403.05222, arXiv.org, revised Oct 2024.
    10. Kelvin Shuangjian Zhang, 2019. "Existence in multidimensional screening with general nonlinear preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(2), pages 463-485, March.
    11. Demuynck, Thomas & Potoms, Tom, 2020. "Weakening transferable utility: The case of non-intersecting Pareto curves," Journal of Economic Theory, Elsevier, vol. 188(C).
    12. Baisa, Brian, 2020. "Efficient multi-unit auctions for normal goods," Theoretical Economics, Econometric Society, vol. 15(1), January.
    13. Alexander V. Kolesnikov & Fedor Sandomirskiy & Aleh Tsyvinski & Alexander P. Zimin, 2022. "Beckmann's approach to multi-item multi-bidder auctions," Papers 2203.06837, arXiv.org, revised Sep 2022.
    14. Yu Zhou & Shigehiro Serizawa, 2020. "Serial Vickrey Mechanism," ISER Discussion Paper 1095, Institute of Social and Economic Research, Osaka University.
    15. Alfred Galichon & Larry Samuelson & Lucas Vernet, 2022. "Monotone Comparative Statics for Equilibrium Problems," Working Papers hal-03936102, HAL.
    16. Alfred Galichon & Robert McCann, 2019. "Special Issue: Optimal Transportation, Equilibrium, and Applications to Economics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(2), pages 345-347, March.
    17. Alfred Galichon & Larry Samuelson & Lucas Vernet, 2022. "Monotone Comparative Statics for Equilibrium Problems," SciencePo Working papers Main hal-03936102, HAL.
    18. Rochet, Jean-Charles, 2024. "Multidimensional Screening After 37 years," TSE Working Papers 24-1536, Toulouse School of Economics (TSE).
    19. Fernando Tohm'e, 2023. "Dynamic Arrangements in Economic Theory: Level-Agnostic Representations," Papers 2309.06383, arXiv.org.
    20. Akira Matsushita & Kei Ikegami & Kyohei Okumura & Yoji Tomita & Atsushi Iwasaki, 2022. "Regulating Matching Markets with Constraints: Data-driven Taxation," Papers 2205.14387, arXiv.org, revised Mar 2023.

    More about this item

    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:hal:spmain:hal-03936063. 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: Contact - Sciences Po Departement of Economics (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.