Using an experimental design of stating equivalent probabilities for 252 st
imulus lottery pairs, Chechile and Cooke (1997) alleged to have refuted gen
eric-utility theory which itself comprises many modern utility theories. Th
e present paper systematically investigates the feasibility of the Chechile
-Cooke experimental design using numerical methods. We examine 1,277 utilit
y setups (involving 17 parameter sets for four probability-weighting functi
ons and 11 parameter sets for three component utility functions) which repr
esent ten different utility theories. Our results demonstrate that on avera
ge for more than one third of all stimulus lottery pairs no equivalent prob
abilities exist. That is, the Chechile-Cooke experimental design prevents s
ubjects from stating their true probability equivalents. Therefore, they ca
nnot claim to have refuted generic-utility theory and the members of its fa
mily.