L. Green et al., TEMPORAL DISCOUNTING AND PREFERENCE REVERSALS IN CHOICE BETWEEN DELAYED OUTCOMES, Psychonomic bulletin & review, 1(3), 1994, pp. 383-389
Subjects chose between pairs of hypothetical amounts of money availabl
e after different delays. When smaller, more immediate amounts were se
lected over larger, more delayed amounts, the addition of a constant d
elay to both outcomes resulted in reversals of preference, contrary to
the standard discounted utility model of economics. The delays at whi
ch preference reversed were determined for three pairs of amounts ($20
vs. $50, $100 vs. $250, and $500 vs. $1,250). The relation between th
e delay to the larger amount and the delay to the smaller amount at pr
eference reversal was well fit by both linear and quadratic functions.
Intercepts increased with amount, strongly suggesting that rate of di
scounting decreases with amount. The presence of significant negative
curvature in the data from the majority of individual subjects poses p
roblems for exponential and hyperbolic models of temporal discounting
in self-control, both of which predict a linear relation between the d
elays to the larger and smaller amounts.