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Heuristics for Deciding Collectively Rational Consumption Behavior

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Author Info

  • Fabrice Talla Nobibon

    ()

  • Laurens Cherchye

    ()

  • Bram De Rock

    ()

  • Jeroen Sabbe

    ()

  • Frits Spieksma

    ()

Abstract

We consider the computational problem of testing whether observed household consumption behavior satisfies the Collective Axiom of Revealed Preferences (CARP). We propose a graph such that the existence of a node-partitioning giving rise to two induced subgraphs that are acyclic implies that the data satisfy CARP. Furthermore, we propose and implement heuristics that are quite fast, that can be used to check reasonably large datasets for CARP and that can be of particular interest when used prior to computationally demanding approaches. Finally, from the computational results we conclude that these heuristics can be effective in testing CARP.

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Bibliographic Info

Article provided by Society for Computational Economics in its journal Computational Economics.

Volume (Year): 38 (2011)
Issue (Month): 2 (August)
Pages: 173-204

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Handle: RePEc:kap:compec:v:38:y:2011:i:2:p:173-204

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Web page: http://www.springerlink.com/link.asp?id=100248
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Related research

Keywords: Collective axiom of revealed preference; Pareto efficiency; Directed graph; Graph coloring; Heuristics; NP-complete;

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References

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  1. Laurens Cherchye & Ian Crawford & Bram De Rock & Frederic Vermeulen, 2009. "The revealed preference approach to demand," ULB Institutional Repository 2013/132522, ULB -- Universite Libre de Bruxelles.
  2. Laura Blow & Martin Browning & Ian Crawford, 2008. "Revealed Preference Analysis of Characteristics Models," Review of Economic Studies, Oxford University Press, vol. 75(2), pages 371-389.
  3. repec:eca:wpaper:2008_001 is not listed on IDEAS
  4. Martin Browning & Pierre-Andre Chiappori, 1994. "Efficient Intra-Household Allocations: a General Characterization and Empirical Tests," Department of Economics Working Papers 1994-02, McMaster University.
  5. Cherchye, L.J.H. & Rock, B. de & Sabbe, J. & Vermeulen, F.M.P., 2008. "Nonparametric Tests of Collectively Rational Consumption Behavior: An Integer Programming Procedure," Discussion Paper 2008-2, Tilburg University, Center for Economic Research.
  6. Donald J. Brown & Chris Shannon, 2000. "Uniqueness, Stability, and Comparative Statics in Rationalizable Walrasian Markets," Econometrica, Econometric Society, vol. 68(6), pages 1529-1540, November.
  7. Starr, Ross M, 1969. "Quasi-Equilibria in Markets with Non-Convex Preferences," Econometrica, Econometric Society, vol. 37(1), pages 25-38, January.
  8. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2007. "The Collective Model of Household Consumption: A Nonparametric Characterization," Econometrica, Econometric Society, vol. 75(2), pages 553-574, 03.
  9. Donald J. Brown & Rosa L. Matzkin, 1995. "Testable Restrictions on the Equilibrium Manifold," Cowles Foundation Discussion Papers 1109, Cowles Foundation for Research in Economics, Yale University.
  10. Chiappori, P.A., 1989. "Collective Labour Supply and Welfare," DELTA Working Papers 89-07, DELTA (Ecole normale supérieure).
  11. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2010. "An Afriat theorem for the collective model of household consumption," ULB Institutional Repository 2013/131711, ULB -- Universite Libre de Bruxelles.
  12. Chiappori, P.A. & Ekeland, I., 2006. "The micro economics of group behavior: General characterization," Journal of Economic Theory, Elsevier, vol. 130(1), pages 1-26, September.
  13. P.-A. Chiappori & I. Ekeland, 2009. "The Microeconomics of Efficient Group Behavior: Identification," Econometrica, Econometric Society, vol. 77(3), pages 763-799, 05.
  14. Starrett, David A., 1972. "Fundamental nonconvexities in the theory of externalities," Journal of Economic Theory, Elsevier, vol. 4(2), pages 180-199, April.
  15. Mette Christensen, 2007. "Integrability of demand accounting for unobservable heterogeneity: a test on panel data," IFS Working Papers W07/14, Institute for Fiscal Studies.
  16. Bram De Rock & Laurens Cherchye & Frederic Vermeulen, 2008. "Analyzing cost efficient production behavior under economies of scope: a nonparametric methodology," ULB Institutional Repository 2013/7536, ULB -- Universite Libre de Bruxelles.
  17. Diewert, W E, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Wiley Blackwell, vol. 40(3), pages 419-25, July.
  18. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
  19. 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.
  20. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
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Cited by:
  1. Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2009. "Testable implications of general equilibrium models: an integer programming approach," Center for Economic Studies - Discussion papers ces09.14, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  2. Mark Dean & Daniel Martin, 2011. "Testing for Rationality with Consumption Data: Demographics and Heterogeneity," Working Papers 2011-11, Brown University, Department of Economics.

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