IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v53y2019i1d10.1007_s10614-017-9733-1.html
   My bibliography  Save this article

Solving Deterministic and Stochastic Equilibrium Problems via Augmented Walrasian

Author

Listed:
  • Julio Deride

    (University of California Davis)

  • Alejandro Jofré

    (Universidad de Chile)

  • Roger J-B Wets

    (University of California Davis)

Abstract

We described a method to solve deterministic and stochastic Walras equilibrium models based on associating with the given problem a bifunction whose maxinf-points turn out to be equilibrium points. The numerical procedure relies on an augmentation of this bifunction. Convergence of the proposed procedure is proved by relying on the relevant lopsided convergence. In the two-stage versions of our models, deterministic and stochastic, we are mostly concerned with models that equip the agents with a mechanism to transfer goods from one time period to the next, possibly simply savings, but also allows for the transformation of goods via production.

Suggested Citation

  • Julio Deride & Alejandro Jofré & Roger J-B Wets, 2019. "Solving Deterministic and Stochastic Equilibrium Problems via Augmented Walrasian," Computational Economics, Springer;Society for Computational Economics, vol. 53(1), pages 315-342, January.
  • Handle: RePEc:kap:compec:v:53:y:2019:i:1:d:10.1007_s10614-017-9733-1
    DOI: 10.1007/s10614-017-9733-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10614-017-9733-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10614-017-9733-1?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. Brown, Donald J & DeMarzo, Peter M & Eaves, B Curtis, 1996. "Computing Equilibria When Asset Markets Are Incomplete," Econometrica, Econometric Society, vol. 64(1), pages 1-27, January.
    2. Michael Magill & Martine Quinzii, 2002. "Theory of Incomplete Markets, Volume 1," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262632543, December.
    3. A. Jofré & R. T. Rockafellar & R. J-B. Wets, 2017. "General economic equilibrium with financial markets and retainability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 309-345, January.
    4. R. Saigal, 1983. "A Homotopy for Solving Large, Sparse and Structured Fixed Point Problems," Mathematics of Operations Research, INFORMS, vol. 8(4), pages 557-578, November.
    5. Donald Brown & Felix Kubler, 2008. "Computational Aspects of General Equilibrium Theory," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-76591-2, December.
    6. Alejandro Jofré & Roger Wets, 2002. "Continuity Properties of Walras Equilibrium Points," Annals of Operations Research, Springer, vol. 114(1), pages 229-243, August.
    7. R. T. Rockafellar & Roger J.-B. Wets, 1991. "Scenarios and Policy Aggregation in Optimization Under Uncertainty," Mathematics of Operations Research, INFORMS, vol. 16(1), pages 119-147, February.
    8. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    9. Donald J. Brown & Felix Kubler, 2008. "Refutable Theories of Value," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 1-10, Springer.
    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. Veniamin Mokhov & Sergei Aliukov & Anatoliy Alabugin & Konstantin Osintsev, 2023. "A Review of Mathematical Models of Macroeconomics, Microeconomics, and Government Regulation of the Economy," Mathematics, MDPI, vol. 11(14), pages 1-37, July.

    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. Jinhui H. Bai & Roger Lagunoff, 2013. "Revealed Political Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(4), pages 1085-1115, November.
    2. Kubler, Felix & Schmedders, Karl, 2010. "Competitive equilibria in semi-algebraic economies," Journal of Economic Theory, Elsevier, vol. 145(1), pages 301-330, January.
    3. Schmedders, Karl, 1998. "Computing equilibria in the general equilibrium model with incomplete asset markets," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1375-1401, August.
    4. Deb, Rahul, 2009. "A testable model of consumption with externalities," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1804-1816, July.
    5. Anat Bracha & Donald J. Brown, 2007. "Affective Decision Making: A Behavioral Theory of Choice," Cowles Foundation Discussion Papers 1633R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2009.
    6. Eaves, B. Curtis & Schmedders, Karl, 1999. "General equilibrium models and homotopy methods," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1249-1279, September.
    7. Herings, P.J.J. & Kubler, F., 1999. "The Robustness of the CAPM - A Computational Approach," Other publications TiSEM 06a4e5b2-f380-4d5b-a96f-8, Tilburg University, School of Economics and Management.
    8. P. Jean-Jacques Herings & Felix Kubler, 2002. "Computing Equilibria in Finance Economies," Mathematics of Operations Research, INFORMS, vol. 27(4), pages 637-646, November.
    9. Sy-Ming Guu & Kenneth L. Judd, 2001. "Asymptotic methods for asset market equilibrium analysis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(1), pages 127-157.
    10. Powell, Warren B., 2019. "A unified framework for stochastic optimization," European Journal of Operational Research, Elsevier, vol. 275(3), pages 795-821.
    11. Deb, Rahul, 2008. "Interdependent Preferences, Potential Games and Household Consumption," MPRA Paper 6818, University Library of Munich, Germany.
    12. Christopher P. Chambers & Federico Echenique & Eran Shmaya, 2014. "The Axiomatic Structure of Empirical Content," American Economic Review, American Economic Association, vol. 104(8), pages 2303-2319, August.
    13. Casey B. Mulligan, 2016. "Automated Economic Reasoning with Quantifier Elimination," NBER Working Papers 22922, National Bureau of Economic Research, Inc.
    14. Esteban-Bravo, Mercedes, 2004. "An interior point algorithm for computing equilibria in economies with incomplete asset markets," DEE - Working Papers. Business Economics. WB wb046023, Universidad Carlos III de Madrid. Departamento de Economía de la Empresa.
    15. Rolf Golombek & Kjell Arne Brekke & Michal Kaut & Sverre A.C. Kittelsen & Stein W. Wallace, 2016. "Stochastic equilibrium modeling: The Impact of Uncertainty on the European Energy Market," EcoMod2016 9201, EcoMod.
    16. Brekke, Kjell Arne & Golombek, Rolf & Kaut, Michal & Kittelsen, Sverre A.C. & Wallace, Stein W., 2017. "Stochastic energy market equilibrium modeling with multiple agents," Energy, Elsevier, vol. 134(C), pages 984-990.
    17. A. Jofré & R. T. Rockafellar & R. J-B. Wets, 2017. "General economic equilibrium with financial markets and retainability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 309-345, January.
    18. Francisco Gallego & Andrés Hernando, 2009. "School Choice in Chile: Looking at the Demand Side," Documentos de Trabajo 356, Instituto de Economia. Pontificia Universidad Católica de Chile..
    19. Salerno, Gillian & Beard, Rodney & McDonald, Stuart, 2007. "Rent Seeking Behavior and Optimal Taxation of Pollution in Shallow Lakes," MPRA Paper 11225, University Library of Munich, Germany, revised 22 Oct 2008.
    20. Maria Casanova-Rivas, 2008. "Dynamic Complementarities: A Computational and Empirical Analysis of Couples' Retirement Decisions," 2008 Meeting Papers 1073, Society for Economic Dynamics.

    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:kap:compec:v:53:y:2019:i:1:d:10.1007_s10614-017-9733-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.