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Testable implications of general equilibrium models: An integer programming approach

  • Laurens Cherchye
  • Thomas Demuynck
  • Bram De Rock

Focusing on the testable revealed preference restrictions on the equilibrium manifold, we show that the rationalizability problem is NP-complete. Subsequently, we present a mixed integer programming (MIP) approach to characterize the testable implications of general equilibrium models. Attractively, this MIP approach naturally applies to settings with any number of observations and any number of agents. This is in contrast with existing approaches in the literature. We also demonstrate the versatility of our MIP approach in terms of dealing with alternative types of assignable information. Finally, we illustrate our methodology on a data set drawn from the US economy. In this application, an important focus is on the discriminatory power of the rationalizability tests under study.

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Paper provided by ULB -- Universite Libre de Bruxelles in its series ULB Institutional Repository with number 2013/131708.

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Date of creation: 2011
Date of revision:
Publication status: Published in: Journal of mathematical economics (2011) v.47 n° 4-5,p.564–575
Handle: RePEc:ulb:ulbeco:2013/131708
Contact details of provider: Postal: CP135, 50, avenue F.D. Roosevelt, 1050 Bruxelles
Web page: http://difusion.ulb.ac.be

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  1. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 176-198.
  2. Brown, Donald J & Matzkin, Rosa L, 1996. "Testable Restrictions on the Equilibrium Manifold," Econometrica, Econometric Society, vol. 64(6), pages 1249-62, November.
  3. Fabrice Talla Nobibon & Laurens Cherchye & Bram De Rock & Jeroen Sabbe & Frits C.R. Spieksma, 2008. "Heuristics for deciding collectively rational consumption behavior," Center for Economic Studies - Discussion papers ces0824, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  4. Kubler, Felix, 2003. "Observable restrictions of general equilibrium models with financial markets," Journal of Economic Theory, Elsevier, vol. 110(1), pages 137-153, May.
  5. repec:ner:tilbur:urn:nbn:nl:ui:12-3857700 is not listed on IDEAS
  6. Donald J. Brown & Caterina Calsamiglia, 2005. "The Nonparametric Approach to Applied Welfare Analysis," Cowles Foundation Discussion Papers 1507, Cowles Foundation for Research in Economics, Yale University.
  7. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
  8. Snyder, Susan K., 1999. "Testable restrictions of Pareto optimal public good provision," Journal of Public Economics, Elsevier, vol. 71(1), pages 97-119, January.
  9. Andrés Carvajal, 2003. "Testable Restrictions On The Equilibrium Manifold Under Random Preferences," BORRADORES DE ECONOMIA 001899, BANCO DE LA REPÚBLICA.
  10. Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2011. "Testable implications of general equilibrium models: An integer programming approach," ULB Institutional Repository 2013/131708, ULB -- Universite Libre de Bruxelles.
  11. Varian, Hal R, 1983. "Non-Parametric Tests of Consumer Behaviour," Review of Economic Studies, Wiley Blackwell, vol. 50(1), pages 99-110, January.
  12. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  13. Diewert, W E, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Wiley Blackwell, vol. 40(3), pages 419-25, July.
  14. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The revealed preference approach to collective consumption behavior: nonparametric testing and sharing rule recovery," ULB Institutional Repository 2013/98560, ULB -- Universite Libre de Bruxelles.
  15. Deb, Rahul, 2009. "A testable model of consumption with externalities," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1804-1816, July.
  16. Carvajal, Andres & Quah, John K.-H., 2009. "A Nonparametric Analysis of the Cournot Model," The Warwick Economics Research Paper Series (TWERPS) 922, University of Warwick, Department of Economics.
  17. 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.
  18. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
  19. Ruediger Bachmann, 2006. "Testable Implications of Pareto Efficiency and Individualrationality," Economic Theory, Springer, vol. 29(3), pages 489-504, November.
  20. 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.
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