THE SLUTSKY MATRIX AND HOMOGENEITY IN INTERTEMPORAL CONSUMER THEORY

A dual vista of an intertemporal model of the consumer yields insights into its fundamental qualitative structure that previous research was heretofore unable to uncover. For example, the intertemporal Slutsky matrix and its properties of symmetry and negative semidefiniteness apply to the integral of the discounted open-loop demand and supply functions, not to the instantaneous open-loop demand and supply functions. The results are established in a general dynamic model of the consumer which accounts for durable and nondurable goods, installation costs for the durable goods, and a leisure/labor choice.