Identification of Time-Inconsistent Models: The Case of Insecticide-Treated Nets

Working Paper: NBER ID: w27198

Authors: Aprajit Mahajan; Christian Michel; Alessandro Tarozzi

Abstract: Time-inconsistency may play a central role in explaining inter-temporal behavior, particularly among poor households. However, little is known about the distribution of time-inconsistent agents, and time-preference parameters are typically not identified in standard dynamic choice models. We formulate a dynamic discrete choice model in an unobservedly heterogeneous population of possibly time-inconsistent agents. We provide conditions under which all population type probabilities and preferences for both time-consistent and sophisticated agents are point-identified and sharp set-identification results for naïve and partially sophisticated agents. Estimating the model using data from a health intervention providing insecticide treated nets (ITNs) in rural Orissa, India, we find that a little over two-thirds of our sample comprises time-inconsistent agents and that both sophisticated and naïve agents are considerably present-biased. Counterfactuals show that the under-investment in ITNs attributable to present-bias leads to substantial costs that are about five times the price of an ITN.

Keywords: Time Inconsistency; Identification of Types; Partial Identification; Mixture Models; Expectations; Malaria; Bednets; Dynamic Discrete Choice

JEL Codes: D91; I12; I3


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
time-inconsistent preferences (D15)demand for insecticide-treated nets (ITNs) (O15)
present bias (D15)investment in ITNs (H54)
time inconsistency (D15)lower purchases of ITNs (H53)
time inconsistency (D15)lower retreatment rates for ITNs (R20)
lower purchases of ITNs (H53)higher expected costs associated with malaria (I18)

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