ON A GENERALIZED VON NEUMANN MODEL

The main aim of the paper is to give a constructive proof to an existence theorem concerning the generalized von Neumann model à la Morishima in a particular case which arises by dropping and replacing a strong continuity assumption of Morishima, whose existence theorem does not work (as the appendix example shows) when all of Morishima's other assumptions but that continuity assumption hold. In particular, the paper proves that the generalized von Neumann model à la Morishima has a solution when all people consume the same commodities in the same proportions, with a substitution effect equal to zero, even if some commodities are never consumed and not all processes require labour. Moreover, it shows a way to construct a solution by solving a Linear Complementarity Problem with Lemke's complementarity pivot algorithm.