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...

This paper applies revealed preference theory to the nonparametric statistical analysis of consumer demand. It exploits the idea that price-taking individual households in the same market face the same relative prices, in order to smooth across the demands of individuals for each common price...

Models of preferences between outcomes over continuous time are important for individual, corporate, and social decision making, e.g., medical treatment, infrastructure development, and environmental regulation. This paper presents a foundation for such models. It shows that conditions on...

Sets consisting of finite collections of prices and endowments such that total resources are constant, or collinear, or approximately collinear, can always be viewed as subsets of some equilibrium manifold. The additional requirement that such collections of price-endowment data are compatible...

In a recent paper Happich and Mühlbacher [Eur J Health Econom (2003) 4:292-294] proposed an axiom of constant absolute trade-off in life years, and studied the family of QALY models satisfying this axiom under expected utility and mutual utility independence between life years and health state....

A simple mathematical result characterizing a subset of a product set is proved and used to obtain additive representations of preferences. The additivity consequences of independence assumptions are obtained for preferences which are not total or transitive. This means that most of the economic...

The neo-classical theory of demand applies to individuals yet in empirical work it is usually taken as valid for households with many members. This paper explores what the theory of individuals implies for households with many members. This paper explores what the theory of individuals implies...

In the first part of the paper, we consider various QALY (quality-adjusted life year) models in situations where health varies over time, and provide a theoretical analysis of model identification and parameter estimation from time trade-off and standard gamble scores. We investigate...

In the present paper, the existence of maximal elements for binary relations are studied. Generalized lexicographic relations are introduced, and some results on existence of maximal elements are provided. A simple example shows that economies with "lexicographic consumers" need not have...

We present some simple utility functions whose Marshallian demand functions possess the Giffen property: at some price-wealth pairs, the demand for a good marginally increases in response to an increase in its own price. The utility functions satisfy standard preference properties throughout the...