Weak axiomatic demand theory

Abstract

This paper identifies a class of complete but not necessarily transitive preferences which generate demand functions that obey the weak axiom of revealed preference and within which any function obeying the weak axiom can be rationalized.

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Reference

  1. Al-Najjar N.(1993) Non-transitive smooth preferences. J Econ Theory 60: 14–41

    Article  Google Scholar 

  2. Aliprantis, C., Border, K.: Infinite dimensional analysis (2nd ed.): Berlin Heidelberg New York Springer 1999

  3. Bandyophadhyay T., Dasgupta I., Pattanaik P.(1999) Stochastics revealed preference and the theory of demand. J Econ Theory 84: 95–110

    Article  Google Scholar 

  4. Bonnisseau J.-M.(2003) Regular economies with non-ordered preferences. J Math Econ 39: 153–174

    Article  Google Scholar 

  5. Calvet L., Comon E. (2000) Behavioral heterogeneity and the income effect. Working paper 1892, Harvard Institute of Economic Research. Rev Econ Stat (to appear)

  6. Clark S. (1988). An extension theorem for rational choice functions. Review of Economic Studies, LV: 485–492

    Google Scholar 

  7. Debreu G. (1959) Theory of value. Yale University Press, New Haven London

    Google Scholar 

  8. Debreu, G.: Existence of competitive equilibrium. In: Arrow, K.J., Intriligator, M.D. (eds.) Handbook of mathematical economics, vol. II. New York: North-Holland 1982

  9. Fishburn P.C. (1991) Nontransitive preferences in decision theory. J Risk Uncertainty 4: 113–134

    Article  Google Scholar 

  10. Hildenbrand W. (1994) Market demand. Princeton. Princeton University Press, NJ

    Google Scholar 

  11. Jerison M. (1999). Dispersed excess demands, the weak axiom and uniqueness of equilibrium. J Math Econ 31: 15–48

    Article  Google Scholar 

  12. Kihlstrom R., Mas-Colell A., Sonnenschein H. (1976). The demand theory of the weak axiom of revealed preference. Econometrica 44: 971–978

    Article  Google Scholar 

  13. Kim T., Richter M. (1986) Nontransitive-nontotal consumer theory. J Econ Theory 38: 324–363

    Article  Google Scholar 

  14. Kivetz R., Simonson I. (2000)The effects of incomplete information on consumer choice. J Marketing Res 37: 427–448

    Article  Google Scholar 

  15. Loomes G., Starmer C., Sugden R. (1991) Observing violations of transitivity by experimental methods. Econometrica 59: 425–439

    MathSciNet  Article  Google Scholar 

  16. Mas-Colell A. (1985). The theory of general economic equilibrium: a differentiable approach. Cambridge University Press, Cambridge

    Google Scholar 

  17. Mas-Colell A., Whinston M.D., Green J.R. (1995) Microeconomic theory. Oxford University Press, Oxford

    Google Scholar 

  18. Moldau J.H. (1996) A simple existence proof of demand functions without standard transitivity. J Math Econ 25:325–333

    Article  Google Scholar 

  19. Quah J.K.-H. (1997). The law of demand when income is price dependent. Econometrica 65: 1421–1442

    MathSciNet  Article  Google Scholar 

  20. Quah J.K.-H. (2000). The monotonicity of individual and market demand. Econometrica 68: 911–930

    Article  Google Scholar 

  21. Quah, J.K.-H.: The existence of equilibrium when excess demand obeys the weak axiom. Nuffield College Working Paper, 2004-W7

  22. Shafer W. (1974). The nontransitive consumer. Econometrica 42: 913–920

    Article  Google Scholar 

  23. Sonnenschein, H.: Demand theory without transitive preferences, with applications to the theory of competitive equilibrium. In: Chipman, J.S. et al. (eds.) Preferences, utiliity and demand theory. New York: Harcourt Brace Jovanovich 1971

  24. Tversky A. (1969). Intransitivity of preferences. Psychol Rev 76: 31–48

    Article  Google Scholar 

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Correspondence to John K-H. Quah.

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Quah, J.KH. Weak axiomatic demand theory. Economic Theory 29, 677–699 (2006). https://doi.org/10.1007/s00199-005-0017-y

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Keywords

  • Weak axiom of revealed preference
  • Violations of transitivity
  • Rationalizability
  • Demand

JEL Classification Numbers

  • C61
  • D11
  • D50