Pshenichnyj, B. N.; Polishchuk, N. V. A dynamical model of production and exchange with credit. (Russian) Zbl 0661.90017 Kibern. Vychisl. Tekh., Kiev 69, 3-8 (1986). A dynamic finite-time equilibrium model of production and exchange with the possibility of credit is studied. A nonlinear dependence between expenditures and quantities of purchases is supposed. The model is formulated in terms of convex nonlinear programming and Kuhn-Tucker optimality conditions for mathematical programming problems together with Kakutani’s fixed point theorem are used to prove an existence of equilibrium prices and interest rates under usual conditions (compactness, closedness, convexity, Lipschitz condition). Reviewer: F.Turnovec MSC: 91B62 Economic growth models 91B50 General equilibrium theory 90C30 Nonlinear programming 90C90 Applications of mathematical programming Keywords:dynamic finite-time equilibrium model; production and exchange; credit; convex nonlinear programming; Kuhn-Tucker optimality conditions; Kakutani’s fixed point theorem; existence of equilibrium prices; interest rates PDFBibTeX XMLCite \textit{B. N. Pshenichnyj} and \textit{N. V. Polishchuk}, Kibern. Vychisl. Tekh., Kiev 69, 3--8 (1986; Zbl 0661.90017)