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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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.
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David Backus & Bryan Routledge & Stanley Zin, 2004.
"Exotic Preferences for Macroeconomists,"
Working Papers
04-20, New York University, Leonard N. Stern School of Business, Department of Economics.
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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.
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