Wednesday, June 17, 2015

Frederick, Loewenstein, and O'Donoghue (2002) on Time Discounting

Shane Frederick, George Loewenstein, and Ted O'Donoghue, “Time Discounting and Time Preference: A Critical Review.” Journal of Economic Literature 40(2): 351-401, June, 2002.

Samuelson’s discounted utility model (DU), 1937: utility is additively separable across time, with future utility discounted exponentially at a constant rate. 

 • Anomalies with respect to DU are not mistakes that people want to correct. 

 • DU doesn’t permit a preference for increasing utility flows over time, holding total discounted utility constant. 

 • DU assumes that utility in a given period is independent of utility in other periods. Your preference for Italian or Thai food tonight is independent of what you ate yesterday. 

• The discount rate in the DU model is the same when applied to all forms of consumption. The per-period discount rate is fixed, implying time consistency. 

• Empirical evidence is not kind to the DU model, on many fronts. 

• Discount rates don’t appear to be constant; rather, they decrease over time. Further, they seem to vary widely across different types of consumption. 

• Gains are discounted more than losses, and small amounts are discounted at a higher rate than larger amounts. Many people like to incur a loss immediately rather than delay it. 

• Preferences for increasing returns over time might reflect a fear of limited self-control that would lead to overconsumption if larger amounts were received initially. 

• The beta/delta or quasi-hyperbolic model (page 366) formalizes a present bias and dynamic inconsistency. This model can indicate why people might use illiquid assets as a commitment mechanism, and explain the simultaneous existence of substantial savings and credit card debt. Sophisticated present-biased people might seek out commitment strategies. 

• Other models involve habit formation, anticipation utility, visceral factors, projection bias, mental accounts, and temptation utility. 

• Perhaps there is no isolated concept of time preference that is consistent across applications.

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