Can every allocation in the core of an economy be decentralized by a suitably chosen price system? Werner Hildenbrand shows that the answer is yes if the economy has "many" participating agents and if the influence of every individual agent on collective actions is "negligible." To give a...

In a major work that is the culmination of over a decade of intensive research, Werner Hildenbrand presents a new theory of market demand, the principal aim of which is to identify the conditions under which the Law of Demand holds true. Hildenbrand argues that the Law of Demand is due mainly to...

For market demand to satisfy the law of demand, it is sufficient that the mean of all households' income effect matrices is positive definite. The authors show how this mean income effect matrix can be estimated from cross section data under metonymy, an assumption about the distribution of...

The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were...

Methods for nonparametric estimation and comparison of cross section Engel curves are presented and applied to U.K. expenditure data. Real Engel curves (with quantity demanded and real total expenditure on the axes) vary over time, but their shapes are generally quite stable. Mean normalized...