IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v100y2022ics0304406821001683.html
   My bibliography  Save this article

Continuous adjustments and Smale’s non-tâtonnement processes

Author

Listed:
  • Yu, Chaowen
  • Hosoya, Yuhki

Abstract

In this study, we investigate the stability of the set of equilibria under non-tâtonnement processes formulated by Smale, and show that under a natural assumption named “continuous adjustment”, every nonextendable non-tâtonnement process converges to some point in the set of equilibria. Moreover, we show that such a process can be constructed.

Suggested Citation

  • Yu, Chaowen & Hosoya, Yuhki, 2022. "Continuous adjustments and Smale’s non-tâtonnement processes," Journal of Mathematical Economics, Elsevier, vol. 100(C).
  • Handle: RePEc:eee:mateco:v:100:y:2022:i:c:s0304406821001683
    DOI: 10.1016/j.jmateco.2021.102619
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406821001683
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmateco.2021.102619?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Smale, Stephen, 1976. "Exchange processes with price adjustment," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 211-226, December.
    2. Bottazzi, Jean-Marc, 1994. "Accessibility of Pareto optima by Walrasian exchange processes," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 585-603, November.
    3. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    4. Kihlstrom, Richard E & Mas-Colell, Andreu & Sonnenschein, Hugo, 1976. "The Demand Theory of the Weak Axiom of Revealed Preference," Econometrica, Econometric Society, vol. 44(5), pages 971-978, September.
    5. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    6. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
    7. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, December.
    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. Zheng Fang & Juwon Seo, 2019. "A Projection Framework for Testing Shape Restrictions That Form Convex Cones," Papers 1910.07689, arXiv.org, revised Sep 2021.
    2. Gaël Giraud & Céline Rochon, 2010. "Transition to Equilibrium in International Trades," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00657038, HAL.
    3. Gerasímou, Georgios, 2010. "Consumer theory with bounded rational preferences," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 708-714, September.
    4. Sudhir A. Shah, 2016. "The Generalized Arrow-Pratt Coefficient," Working papers 254, Centre for Development Economics, Delhi School of Economics.
    5. Gaêl Giraud, 2007. "The Limit-price dynamics - uniqueness, computability and comparative dynamics in competitive markets," Documents de travail du Centre d'Economie de la Sorbonne b07020, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    6. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, April.
    7. Erhard Glötzl & Florentin Glötzl & Oliver Richters, 2019. "From constrained optimization to constrained dynamics: extending analogies between economics and mechanics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(3), pages 623-642, September.
    8. Giraud, Gaël & Grasselli, Matheus, 2021. "Household debt: The missing link between inequality and secular stagnation," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 901-927.
    9. Jerison, David & Jerison, Michael, 1993. "Approximately Rational Consumer Demand," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 217-241, April.
    10. Daniel McFadden, 2014. "The new science of pleasure: consumer choice behavior and the measurement of well-being," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 2, pages 7-48, Edward Elgar Publishing.
    11. Jean-Marc Bonnisseau & Orntangar Nguenamadji, 2013. "Discrete Walrasian exchange process," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 1091-1100, April.
    12. Doraszelski, Ulrich & Escobar, Juan F., 2019. "Protocol invariance and the timing of decisions in dynamic games," Theoretical Economics, Econometric Society, vol. 14(2), May.
    13. Frank Ackerman, 2001. "Still dead after all these years: interpreting the failure of general equilibrium theory," Journal of Economic Methodology, Taylor & Francis Journals, vol. 9(2), pages 119-139.
    14. Alan Kirman, 2016. "Complexity and Economic Policy: A Paradigm Shift or a Change in Perspective? A Review Essay on David Colander and Roland Kupers's Complexity and the Art of Public Policy," Journal of Economic Literature, American Economic Association, vol. 54(2), pages 534-572, June.
    15. Guoqiang Tian, 2016. "On the existence of price equilibrium in economies with excess demand functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 5-16, April.
    16. Gaël Giraud & Dimitrios Tsomocos, 2010. "Nominal uniqueness and money non-neutrality in the limit-price exchange process," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 303-348, October.
    17. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    18. Massimiliano Amarante & Luigi Montrucchio, 2010. "The bargaining set of a large game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 313-349, June.
    19. Andrea Mantovi, 2014. "On Luxury and Equilibrium," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 6(2), pages 87-118, December.
    20. Wang, Ruodu & Wei, Yunran, 2020. "Characterizing optimal allocations in quantile-based risk sharing," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 288-300.

    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:eee:mateco:v:100:y:2022:i:c:s0304406821001683. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.