Competition, Instability, and Nonlinear Cycles Proceedings of an International Conference New School for Social Research New York, USA, March 1985

I. The Topic and the structure of the Proceedings The papers in this book are the proceedings of a conference held at the Economics Department of the Graduate Faculty of the New School for Social Research in March 1985 in New York for which financial support was provided by .the West German Consulate. The topic of the conference was "Competition, Instability, and Nonlinear Cycles." A number of mathematical economists from Italy, West Germany, France, Japan, and the u.s. were invited as participants in this meeting. The conference was preceded by two other conferences in which several of the invited scholars had taken part. One, on "la gravitation des prix," took place in Nanterre, France,in March 1984. The other was held at the New School for Social Research in April 1984 on "Price of Production in Joint Production systems." Both conference were concerned with classical prices of production systems and their revival in the form developed by Sraffa and Pasinetti (1977). In these conferences, considerable interest arose in more properly modeling the dynamics of prices of production systems in a multi­ sectoral framework by utilizing modern mathematical tools of dynamical systems. Such a discussion on the dynamics of the classical process of competition and the stability of classical production prices was originally initiated by several papers by Nikaido (1977, 1983, 1984) and further pursued by several scholars (see Steedman, 1983; Boggio, 1980; Kuroki, 1983; Dumenil/Levy, 1983; Krause, 1983, 1984; Hosoda, 1985; Filippini, 1985).

I. On Modeling the Cross-Dual Dynamics of Competition.- The Dynamic Equalization of Profit Rates for Input-Output Models with Fixed Capital.- The Equalization of the Rate of Profit Reconsidered.- A Cross-Over Gravitation Process in Prices and Inventories.- Stability of Production Prices in a Model of General Interdependence.- Ergodic Price Setting with Technical Progress.- II. Microfoundations of Macrodynamics and Limit Cycles.- Swinging along the Autostrada.- Stability and Instability in a Dynamic Model of Capitalist Production.- On a Microdynamics of a Nonlinear Macrocycle Model.- Stabilization Policy in a Nonlinear Business Cycle Model.- III. Linear and Nonlinear Macrodynamics.- Some Extensions of a Classical Growth Cycle Model.- Growth Cycles in a Classical-Keynesian Model.- Problems Concerning the Dynamic Analysis of a Keynesian Model with Perfect Foresight.- Cyclical Growth: The Interdependent Dynamics of Industry and Agriculture.- IV. Econometrics of the Dynamics of Proportions and Nonlinear Macrodynamics.- The Stability of the Reproduction Scheme: Theoretical Discussion and Empirical Evidence for the United States, 1948–1980.- Testing Non-Linearity in Business Cycles.