L. Eeckhoudt et C. Gollier, DEMAND FOR RISKY ASSETS AND THE MONOTONE PROBABILITY RATIO ORDER, Journal of risk and uncertainty, 11(2), 1995, pp. 113-122
Since Fishburn and Porter (1976), it has been known that a first-order
dominant shift in the distribution of random returns of an asset does
not necessarily induce a risk-averse decision maker to increase his h
oldings of that improved asset. To obtain the desired comparative stat
ics result, one has to further restrict the class of changes in the di
stribution. In this article, we propose the ''monotone probability rat
io'' criterion which is more general than the ''monotone likelihood ra
tio'' criterion currently used in the literature.