IDEAS home Printed from https://ideas.repec.org/p/kud/kuiedp/0909.html
   My bibliography  Save this paper

Individual Preference Rankings Compatible with Prices, Income Distributions and Total Resources

Author

Listed:
  • Yves Balasko

    (Department of Economics and Related Studies, University of York)

  • Mich Tvede

    (Department of Economics, University of Copenhagen)

Abstract

We consider the problem of determining the individual preference rankings that are necessarily implied by a dataset consisting of prices, income distributions and total resources. We show the equivalence between the compatibility with individual preference rankings and the existence of a solution to a set of linear equalities and inequalities. Using this characterization, we give new proofs of the rationalizability of finite data sets where total resources are close to being collinear and the contractibility and pathconnectedness of the set that consists of rationalizable finite datasets.

Suggested Citation

  • Yves Balasko & Mich Tvede, 2009. "Individual Preference Rankings Compatible with Prices, Income Distributions and Total Resources," Discussion Papers 09-09, University of Copenhagen. Department of Economics.
    • Handle: RePEc:kud:kuiedp:0909
    as

    Download full text from publisher

    File URL: http://www.econ.ku.dk/english/research/publications/wp/dp_2009/0909.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Chiappori, Pierre-Andre & Rochet, Jean-Charles, 1987. "Revealed Preferences and Differentiable Demand: Notes and Comments," Econometrica, Econometric Society, vol. 55(3), pages 687-691, May.
    3. Yves Balasko, 2004. "The equilibrium manifold keeps the memory of individual demand functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 493-501, October.
    4. Donald J. Brown & Rosa L. Matzkin, 2008. "Testable Restrictions on the Equilibrium Manifold," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 11-25, Springer.
    5. P.A. Chiappori & I. Ekeland & F. Kubler & H.M. Polemarchakis, 2002. "Testable Implications of General Equilibrium Theory: a differentiable approach," Working Papers 2002-10, Brown University, Department of Economics.
    6. Balasko, Yves & Tvede, Mich, 2009. "The geometry of finite equilibrium datasets," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 391-396, May.
    7. Chiappori, P. -A. & Ekeland, I. & Kubler, F. & Polemarchakis, H. M., 2004. "Testable implications of general equilibrium theory: a differentiable approach," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 105-119, February.
    8. Yves Balasko & Mich Tvede, 2003. "Individual preferences compatible with a finite number of equilibrium data: A linear programming characterization," Levine's Bibliography 666156000000000291, UCLA Department of Economics.
    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. Balasko, Yves & Tvede, Mich, 2009. "The geometry of finite equilibrium datasets," Journal of Mathematical Economics, Elsevier, vol. 45(5-6), pages 391-396, May.
    2. Hans Keiding & Mich Tvede, 2013. "Revealed smooth nontransitive preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 463-484, November.
    3. Andrés Carvajal, 2010. "The testable implications of competitive equilibrium in economies with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 349-378, October.
    4. Felix Kubler & Karl Schmedders, 2010. "Non-parametric counterfactual analysis in dynamic general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 181-200, October.

    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. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
    2. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2011. "Testable implications of general equilibrium models: An integer programming approach," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 564-575.
    3. Carvajal, Andres, 2004. "Testable restrictions on the equilibrium manifold under random preferences," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 121-143, February.
    4. Andrés Carvajal & Alvaro Riascos, 2005. "The Identification Of Preferences From Market Data Under Uncertainty," Documentos CEDE 3599, Universidad de los Andes, Facultad de Economía, CEDE.
    5. Yves Balasko & Mich Tvede, 2003. "Individual preferences compatible with a finite number of equilibrium data: A linear programming characterization," Levine's Bibliography 666156000000000291, UCLA Department of Economics.
    6. Loi, Andrea & Matta, Stefano, 2008. "Geodesics on the equilibrium manifold," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1379-1384, December.
    7. Carvajal, Andres & Polemarchakis, H.M., 2008. "Identification of Pareto-improving policies: Information as the real invisible hand," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 167-179, January.
    8. Pierre‐André Chiappori & Bernard Salanié & François Salanié & Amit Gandhi, 2019. "From Aggregate Betting Data to Individual Risk Preferences," Econometrica, Econometric Society, vol. 87(1), pages 1-36, January.
    9. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    10. Felix Kubler, 2008. "Observable Restrictions of General Equilibrium Models with Financial Markets," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 93-108, Springer.
    11. Felix Kubler, 2008. "Is Intertemporal Choice Theory Testable?," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 79-91, Springer.
    12. Jean-Sébastien Lenfant, 2011. "General equilibrium after Sonnenschein, Mantel and Debreu: Trends and perspectives [L'équilibre général depuis Sonnenschein, Mantel et Debreu : courants et perspectives]," Post-Print hal-01742978, HAL.
    13. Maes, Sebastiaan & Malhotra, Raghav, 2024. "Beyond the Mean : Testing Consumer Rationality through Higher Moments of Demand," CRETA Online Discussion Paper Series 85, Centre for Research in Economic Theory and its Applications CRETA.
    14. Andrés Carvajal, 2003. "Testable Restrictions og General Equilibrium Theory in Exchange Economies with Externalities," Borradores de Economia 3556, Banco de la Republica.
    15. Hans Keiding & Mich Tvede, 2013. "Revealed smooth nontransitive preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 463-484, November.
    16. Krebs, Tom, 2004. "Testable implications of consumption-based asset pricing models with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 191-206, February.
    17. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, January.
    18. Felix Kubler & Raghav Malhotra & Herakles Polemarchakis, 2021. "Exact inference from finite market data," Papers 2107.07294, arXiv.org.
    19. Yves Balasko & Mich Tvede, "undated". "Equilibrium Data Sets and Compatible Utility Rankings," Discussion Papers 05-23, University of Copenhagen. Department of Economics, revised Nov 2005.
    20. Snyder, Susan K., 2004. "Observable implications of equilibrium behavior on finite data," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 165-176, February.

    More about this item

    Keywords

    equilibrium manifold; rationalizability; testability; pathconnectedness;
    All these keywords.

    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

    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:kud:kuiedp:0909. 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: Thomas Hoffmann (email available below). General contact details of provider: https://edirc.repec.org/data/okokudk.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.