3 ms·
hmmh... nitpick but log utility => maximizing the growth rate, but maximizing the growth rate maximizes utility for many different utility functions, in parti
by RockyMcNuts 13y ago
hmmh... nitpick but
log utility => maximizing the growth rate,
but maximizing the growth rate maximizes utility for many different utility functions, in particular all constant relative risk aversion utility functions, of which log utility is one. so preference for maximizing growth does not imply log utility, could be linear utility too.
(under a CRRA utility function, a risky income stream that varies between $1 and $2 gets the same risk aversion discount as one with a similar distribution that varies between $100 and $200, see e.g. http://ocw.mit.edu/courses/economics/14-123-microeconomic-theory-iii-spring-2010/lecture-notes/MIT14_123S10_notes04.pdf http://ocw.mit.edu/courses/economics/14-123-microeconomic-th... )