In this paper, we study some of the properties of a discrete-time version of the two-class model of growth and distribution proposed by Pasinetti (1962) and Samuelson and Modigliani (1966) with a concave production function of the CES type. Two distinct groups of agents, workers and capitalists,...

Agent heterogeneity has been used in recent economic literature to justify nonlinear dynamics for the time paths of aggregate economic variables. In this paper, the mechanism through which heterogeneous agents leads to chaotic motion is explained. Adding to a system with initial behavior...

This paper deals with the analytical and graphical representation of the bifurcations appearing from the adjustment dynamics of a 2- player Cournot duopoly, proposed by Puu (1997). We establish admissibility conditions on the initial state of the adjustment dynamics and visualize the dynamics in...

This paper builds on Kočenda (2001) and extends it in two ways. First, two new intervals of the proximity parameter ε (over which the correlation integral is calculated) are specified. For these ε- ranges new critical values for various lengths of the data sets are introduced and through...

In this paper we present a continuous time dynamical model of heterogeneous agents interacting in a financial market where transactions are cleared by a market maker. The market is composed of fundamentalist, trend following and contrarian agents who process information from the market with...

Although nonlinearity is the rule in economic theory, nonlinearity tends to make life difficult for econometricians. While there have been many advances in nonlinear econometrics in recent years, some problems produced by nonlinearity remain 'skeletons in the closet' in empirical economic...

This paper extends a recent martingale representation result of [N-S] for a Levy process to filtrations generated by a rather large class of semimartingales. As in [N-S], we assume the underlying processes have moments of all orders, but here we allow angle brackets to be stochastic. Following...