Abstract

Representation theorems for additive conjoint structures with an infinite number of components were first developed by T. C. Koopmans (1960, Econometrica 28, 287-309) for modelling dynamic decision behavior. However, he proved his theorems within a topological framework. Here, the theorems are adapted to and proved within a more general algebraic framework. Moreover, while Koopmans provided a representation only for bounded component sequences, here the representation is extended to unbounded sequences satisfying polynomial growth.

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