Titlebook: Mathematical Modelling in Economics; Essays in Honor of W W. Erwin Diewert,Klaus Spremann,Frank Stehling Book 1993Latest edition Springer-V

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Everything in his life - be it childhood, education, academic career, or private life - developed in a pleasurable and successful way. But it would be a mistake and an injustice to credit his achievements to a lucky star. First, the success and recognition he earned (in particular, for his academic

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Modelling Product Differentiation: An Application of the Theory of Functional Equations fact that there is no natural algebraic structure a priori given on consumers’ tastes. A result on functional equations taken from Eichhorn (1978) is used in order to characterize an algebraic structure lending itself to the formulation of suitable assumptions on the distribution of consumers’ tastes.

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Social Preferences as Optimal Compromisest suitable as distance functions in this framework. Using a quadratic distance function as an example, the utilitarian social welfare functional is characterized as an optimal compromise. The informational requirements necessary for the consistency of this optimal compromise are examined.

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Closed-Form Solutions of General Intertemporal Consumption-Maximization Modelsmore than one generation of consumers with a given probability of death, many commodities, and, further, a wide class of preferences which do not necessarily satisfy the so-called “regularity conditions” (such as differentiability, strict convexity, boundedness, or continuity) and include most of the well-known preferences in the literature.

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Samuelson’s “Shibboleth” Revisited: Proportional Budgeting Among Agents and Rank-Two Demand Systemsly, that they belong to Muellbauer’s (1975, 1976) generalized-linear class of utility functions. Because of individual idiosyncracies, however, the proportional-budgeting preference restrictions do not imply the aggregation conditions in any of the recent aggregation literature.

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