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...

I put forward a concise and intuitive formula for the calculation of the valuation for a good in the presence of the expectation that further, related, goods will soon become available. This valuation is tractable in the sense that it does not require the explicit resolution of the consumer’s...

We consider the widely used multinomial logit model with i.i.d. Gumbel random terms. Transition choice probabilities, i.e. probabilities of choosing alternative i in the first choice and alternative j in the second, are available in analytic form in the two extreme cases where the random terms...