In any nonlinear “difference-in-differences” model with strictly monotonic transformation function, the treatment effect is the cross difference of the observed outcome minus the cross difference of the potential non-treatment outcome, which equals the incremental effect of the interaction...

A utilitarian social planner who maximizes social welfare assigns the available income to those who are most efficient in converting income into utility. However, when individuals are concerned about their income falling behind the incomes of others, the optimal income distribution under...

Three types of demand functions are central to contemporary consumer theory: the Marshallian, the Hicksian, and the Frischian demand functions. This paper presents a systematic definition of the analytical relationships amongst these demand functions under the maintained hypothesis that the...

We find for logit with income effects a function that generates choice probabilities via Roy’s identity. We show that it possesses all the properties to qualify as an indirect utility, it has a closed-form expression for the practically interesting translog specification of the systematic...

We extend Bergstrom and Cornes (1983) to show that for strong independence of efficient allocations from distribution in a public goods economy, the utility functions of all consumers must identically be of the form: A(Y)Xi, where Y and Xi are respectively the quantities of public good and...

We present an alternative proof of Fishburn’s (1975) axiomatization of lexicographic preferences. The essence of our proof lies in identifying “an extremely pivotal factor”. Our proof reconfirms the strong interconnections between Arrow’s and Gibbard–Satterthwaite’s theorems with...

We explore the Alchian–Allen effect–that is, the effect of an absolutely equal increase in the price of two goods on their demand ratio–for conditional (viz. short-run) and unconditional (viz. long-run) demand functions. We show that the Alchian–Allen effect for unconditional demand...

This paper generalizes two theorems in Campbell and Walker (1990), which is based on weak upper continuity. A new property, called partial upper continuity, is shown to be sufficient for representation and existence of a maximal element. Noting that transfer weak upper continuity (Tian and Zhou,...

When individuals compare themselves to those with the same wage-rate, status concerns–Keeping up with the Joneses–lead individuals to work who otherwise would have chosen not to, and, for them, well-being is a decreasing function of the wage rate.

The existing superstar model (Rosen, 1981) does not require imperfect substitutes, and the convexity of total earnings with respect to talent is due to greater output for those with more talent. Our model explains why wages would increase at an increasing rate in talent. Imperfect...