H. Bleichrodt et al., Making descriptive use of prospect theory to improve the prescriptive use of expected utility, MANAG SCI, 47(11), 2001, pp. 1498-1514
This paper proposes a quantitative modification of standard utility elicita
tion procedures, such as the probability and certainty equivalence methods,
to correct for commonly observed violations of expected utility. Tradition
ally, decision analysis assumes expected utility not only for the prescript
ive purpose of calculating optimal decisions but also for the descriptive p
urpose of eliciting utilities. However, descriptive violations of expected
utility bias utility elicitations. That such biases are effective became cl
ear when systematic discrepancies were found between different utility elic
itation methods that, under expected utility, should have yielded identical
utilities. As it is not clear how to correct for these biases without furt
her knowledge of their size or nature, most utility elicitations still calc
ulate utilities by means of the expected utility formula. This paper specul
ates on the biases and their sizes by using the quantitative assessments of
probability transformation and loss aversion suggested by prospect theory.
It presents quantitative corrections for the probability and certainty equ
ivalence methods. If interactive sessions to correct for biases are not pos
sible, then the authors propose to use the corrected utilities rather than
the uncorrected ones in prescriptions of optimal decisions. In an experimen
t, the discrepancies between the probability and certainty equivalence meth
ods are removed by the authors' proposal.