Product, capital stock and price dynamics in a simple model of closed economy

A purpose of this paper is to formulate a continuous dynamical model for a small closed economy with a simple structure and with a minimum number of non-linearities. A basis of this model is developed from dynamical Kaldorian model. Variables in the modified dynamical Kaldorian model are in a logarithm scale. A form of the logistic function is used for non-linear connections in this model. The model is formed by four differential equations. First two equations create relatively closed sub-model generating both production and capital stock trajectories. Two other equations describe the price level dynamics as a consequence of money market disequilibrium and continuously adaptive expectation of inflation. Our investigation is firstly aimed to investigate a dynamics of the production and capital stock. Secondly to compute Ljapunov exponents for a simple model of closed economy showing its a chaotic behavior. Simulation studies are performed on numerical calibrated model.