Consistent Sum-Constrained Models

Consistent sum-constrained models have often been considered intrinsically nonlinear. We study here a linearizable variant which can be applied to a wide variety of situations of interaction between socioeconomic flows. The properties of the error term of such a model are derived and we show how its parameters can be estimated using a generalized least squares procedure proposed by McGuire et al. [14]. It is further demonstrated how adding realism to the model may cause serious multicollinearity problems. We then compare it with more classical multiplicative forms. The various models discussed are tested for the market of an inexpensive consumer durable product.