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Testable implications of general equilibrium models: An integer programming approach

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  • Laurens Cherchye
  • Thomas Demuynck
  • Bram De Rock

Abstract

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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  • 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.
    • Handle: RePEc:ulb:ulbeco:2013/131708
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    References listed on IDEAS

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    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    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.
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    5. Fabrice Talla Nobibon & Laurens Cherchye & Bram De Rock & Jeroen Sabbe & Frits Spieksma, 2011. "Heuristics for Deciding Collectively Rational Consumption Behavior," Computational Economics, Springer;Society for Computational Economics, vol. 38(2), pages 173-204, August.
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    19. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 176-198.
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    24. 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.
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Donald J. Brown, 2012. "Notes on Computational Complexity of GE Inequalities," Cowles Foundation Discussion Papers 1865R, Cowles Foundation for Research in Economics, Yale University, revised Aug 2012.
    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, Andrés & Song, Xinxi, 2018. "Testing Pareto efficiency and competitive equilibrium in economies with public goods," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 19-30.
    4. Donald Brown, 2012. "Notes on Computational Complexity of GE Inequalities," Levine's Working Paper Archive 786969000000000537, David K. Levine.
    5. Ian Crawford & Bram De Rock, 2014. "Empirical Revealed Preference," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 503-524, August.
    6. Bart Smeulders & Laurens Cherchye & Bram Rock & Frits C. R. Spieksma & Fabrice Talla Nobibon, 2015. "Transitive preferences in multi-member households," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 243-254, October.
    7. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram & Hjertstrand, Per, 2015. "Revealed preference tests for weak separability: An integer programming approach," Journal of Econometrics, Elsevier, vol. 186(1), pages 129-141.
    8. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2015. "Is utility transferable? a revealed preference analysis," Theoretical Economics, Econometric Society, vol. 10(1), January.
    9. Thomas Demuynck & John Rehbeck, 2023. "Computing revealed preference goodness-of-fit measures with integer programming," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1175-1195, November.
    10. Demuynck, Thomas, 2011. "The computational complexity of rationalizing boundedly rational choice behavior," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 425-433.
    11. Sam Cosaert & Thomas Demuynck, 2015. "Revealed preference theory for finite choice sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 169-200, May.
    12. Christopher P Chambers & Federico Echenique, 2021. "Empirical Welfare Economics," Papers 2108.03277, arXiv.org, revised Jun 2024.
    13. Steven D. Silver, 2016. "A QUAIDS Model of Need-Based Structure in U.S. Personal Consumption 2006–2012," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 44(3), pages 303-323, September.

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    More about this item

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D10 - Microeconomics - - Household Behavior - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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