Milgrom and Shannon [1994] assert that under appropriate conditions the Spence-Mirrlees condition is equivalent to their single crossing property, and that the strict versions are also equivalent. In this note, however, we give counterexamples which show that their strict single crossing...

In the presence of inequality a status-driven utility function reconciles the conflict between income-based and nutrition-based measures of poverty. Moreover, it can explain why the poor tend to save less, an established empirical fact in the developing countries. The result is independent of...

Afriat (1967) showed the equivalence of the strong axiom of revealed preference and the existence of a solution to a set of linear inequalities. From this solution he constructed a utility function rationalizing the choices of a competitive consumer. We extend Afriat's theorem to a class of...

We derive a class of utility functions that are equivalent with respect to a well-defined functional form. We apply a general view of constant relative risk aversion to investigate on different equivalence relations. Then we compare our results with standard applications in economics and finance.

We consider a formal approach to comparative risk aversion and applies it to intertemporal choice models. This allows us to ask whether standard classes of utility functions, such as those inspired by Kihlstrom and Mirman [15], Selden [26], Epstein and Zin [9] and Quiggin [24] are well-ordered...

Beckmann;s interaction model has each resident touching base in face-to-face activity with every other resident, per unit time, at the other's residence. We re-work his resulting interaction city with each resident operating with a Cobb-Douglas utility function. We then turn to a more...

We solve Ireland's (1994) conspicuous consumption model (where social-status concerns are introduced into the utility function) for Cobb-Douglas (CD) utility. In the resulting generalized CD consumer model, Engel curves are no longer limited to linearity. In the homothetic CD case, total...

How far can we go in weakening the assumptions of the general equilibrium model? Existence of equilibrium, structural stability and finiteness of equilibria of regular economies, genericity of regular economies and an index formula for the equilibria of regular economies have been known not to...

By taking sets of utility functions as a primitive description of agents, we define an ordering over assumptions on utility functions that gauges their implicit measurement requirements. Cardinal and ordinal assumptions constitute two types of measurement requirements, but several standard...