Suppose the optimizing consumer only has local information, then what?
Obviously, there will be a random element of consumption. The link be
tween the frequency distribution of consumption by person and preferen
ce surface is worked out. Under convex preferences there will be a uni
modal distribution and conversely. A local optimizing theory of addict
ive behavior is developed from nonconvex preferences. The resulting bi
modal distribution of consumption implies a nonrobust outcome for medi
an voter politics. Such a local optimizing model of addiction is compa
red with globally optimizing models of addiction.