Nonlinear Dynamics in Economics and Social Sciences

This volume constitutes the Proceedings of the "Nonlinear§Dynamics in Economics and Social Sciences" Meeting held at§the Certosa di Pontignano, Siena, May 27-30, 1991. The§meeting welcomed contributions from economists interested in§developing a new mathematical approach to the modelling of§economical processes and mathematicians active in the field§of globaldynamical systems theory. The aim of the§conference was the one of focusing on the applications of§analythical methods which are now commonly referred to the§popular label of "chaotic dynamics" in the social sciences§domain, and hence to test their actual relevance in§describing economic phenomena and to suggest promising§perspectives of future research.The volume contains the§notes of three minicourses given by R. Abraham, "Economics§and the Environment: Global Erodynamic Models", H.-W.§Lorenz,"Complexity in Deterministic, Nonlinear§Business-Cycle Models", C. Mira, "Fractal "Box-Within-a Box"§Bifurcation Structure" and the invited lectures of V. B hm,§"Recurrence in Keynesian Macroeconomic Models", R. Goodwin,§"Economic Nonlinear Dynamic Development" and A.G. Malliaris,§G.Philippatos, "Random Walk vs. Chaotic Dynamics in§Financial Economics". Moreover, it includes 13 contributed§papers covering topics from the more significant sectors of§economic research where nonlinear dynamic instrumentshave§been successfully applied: endogenous cycles, imperfectly§competitive economics, real wage dynamics, keynesian§business cycle theory, complexity of optimal paths,§incompletemarkets, walrasian and non-walrasian equilibria,§financial dynamics.