Abstract

This chapter discusses an explicit general solution of the Hicksian Model, holding true for any period of time t and with any arbitrarily given right member—the term which makes the difference equation non-homogeneous. The solution has one degree of freedom—one arbitrary function of time—when the parameters of the model are given. Programming techniques are indicated either to determine desirable values of the parameters in the Hicksian Model or to choose one of the variables as a decisional function of time. In both cases, one may haze a linear or a more general preference function having the aim of minimizing fluctuations in incomes from their long run growth path and/or assuring rapid growth in the long run. The recurrence method and the method of characteristic roots for solving a linear difference equation of any order with constant co-efficients and an arbitrary right member—the non-homogeneous case—are discussed in the chapter with a special application to the Hicksian Model.

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