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Foundations of Intrinsic Habit Formation

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Abstract

We provide theoretical foundations for several common (nested) representations of intrinsic linear habit formation. These representations are dynamically consistent and additive, with geometrically decaying coefficients of habit formation. Our axiomatization introduces a revealed preference theory of weaning a decision-maker from her habits using the device of compensation. We characterize linear habit formation in terms of the ability to wean using uniquely determined compensating streams. Moreover, we distinguish between habits that are responsive to weaning and those that are persistent, develop a simple choice-theoretic measure of the rate of habit decay, and demonstrate how to recover the entire sequence of habit formation coefficients from observed choice behavior. We introduce novel monotonicity and separability axioms that are appropriate for time-nonseparable preferences. Our analysis suggests techniques for eliciting dynamic reference points from choice behavior and obtaining discounted utility representations on endogenously generated auxiliary spaces.

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File URL: http://cowles.yale.edu/sites/default/files/files/pub/d16/d1642.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1642.

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Length: 67 pages
Date of creation: Mar 2008
Publication status: Published in Econometrica, 2010
Handle: RePEc:cwl:cwldpp:1642
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Yale University, Box 208281, New Haven, CT 06520-8281 USA

Phone: (203) 432-3702
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Web page: http://cowles.yale.edu/

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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

Keywords: Linear habit formation; Time-nonseparable preferences; Compensation; Weaning; Compensated separability; Gains monotonicity; Endogenously generated auxiliary spaces;

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Find related papers by JEL classification:
  • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
  • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
  • D90 - Microeconomics - - Intertemporal Choice - - - General

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  1. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, Oxford University Press, vol. 121(4), pages 1133-1165.
  2. Boldrin, Michele & Christiano, Lawrence J. & Fisher, Jonas D.M., 1997. "Habit Persistence And Asset Returns In An Exchange Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 1(02), pages 312-332, June.
  3. Jody Overland & Christopher D. Carroll & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June.
  4. Abel, Andrew B, 1990. "Asset Prices under Habit Formation and Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 80(2), pages 38-42, May.
  5. Kozicki, Sharon & Tinsley, P. A., 2002. "Dynamic specifications in optimizing trend-deviation macro models," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1585-1611, August.
  6. Iannaccone, Laurence R., 1986. "Addiction and satiation," Economics Letters, Elsevier, vol. 21(1), pages 95-99.
  7. Shalev, Jonathan, 1997. "Loss aversion in a multi-period model," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 203-226, June.
  8. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters,in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414 National Bureau of Economic Research, Inc.
  9. Shi, Shouyong & Epstein, Larry G, 1993. "Habits and Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 61-84, February.
  10. Xiaohong Chen & Sydney C. Ludvigson, 2004. "Land of Addicts? An Empirical Investigation of Habit-Based Asset Pricing Behavior," NBER Working Papers 10503, National Bureau of Economic Research, Inc.
  11. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
  12. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, Oxford University Press, vol. 106(4), pages 1039-1061.
  13. William Neilson, 2006. "Axiomatic reference-dependence in behavior toward others and toward risk," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 681-692, 08.
  14. Ignacio Palacios-Huerta, 2001. "Multiple Addictions," Working Papers 2001-20, Brown University, Department of Economics.
  15. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
  16. Uribe, Martin, 2002. "The price-consumption puzzle of currency pegs," Journal of Monetary Economics, Elsevier, vol. 49(3), pages 533-569, April.
  17. Wendner, Ronald, 2003. "Do habits raise consumption growth?," Research in Economics, Elsevier, vol. 57(2), pages 151-163, June.
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