Evolution Equations of Discount Functions and Metrics of Dynamic Inconsistency

29 Pages Posted: 4 Nov 2019

See all articles by Terrence R. Chorvat

Terrence R. Chorvat

George Mason University School of Law

Date Written: October 29, 2019

Abstract

This article considers continuous models of time discounting that evolve dynamically. While constant exponential discounting is the paradigmatic model for time discounting, many models which depart from exponential discounting have been proposed to attempt to more closely match the behavior of individuals, firms and markets. This article argues that it is the dynamic inconsistency of behavioral models that gives them their most salient features. The article then develops evolution equations for some of the most prominent continuous discounting models to more clearly consider their dynamic inconsistency. It then proposes metrics for the degree of dynamic inconsistency exhibited by discounting models allowing comparison of dynamic inconsistency both across and within models.

Keywords: Behavioral Finance, Dynamic Analysis, Discount Rates, Dynamic Inconsistency

JEL Classification: K00, G02, E19

Suggested Citation

Chorvat, Terrence R., Evolution Equations of Discount Functions and Metrics of Dynamic Inconsistency (October 29, 2019). George Mason Law & Economics Research Paper No. 19-33. Available at SSRN: https://ssrn.com/abstract=3479376

Terrence R. Chorvat (Contact Author)

George Mason University School of Law ( email )

3301 Fairfax Drive
Arlington, VA 22201
United States
703-993-8208 (Phone)

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