Competition, Instability, and Nonlinear Cycles

1. Front Matter

   Pages N2-XII

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2. On Modeling the Cross-Dual Dynamics of Competition

   1. The Dynamic Equalization of Profit Rates for Input-Output Models with Fixed Capital

      • Peter Flaschel, Willi Semmler

      Pages 1-34

   2. The Equalization of the Rate of Profit Reconsidered

      • Ryuzo Kuroki

      Pages 35-50

   3. A Cross-Over Gravitation Process in Prices and Inventories

      • Reiner Franke

      Pages 51-82

   4. Stability of Production Prices in a Model of General Interdependence

      • Luciano Boggio

      Pages 83-114

   5. Ergodic Price Setting with Technical Progress

      • Takao Fujimoto, Ulrich Krause

      Pages 115-124

3. Microfoundations of Macrodynamics and Limit Cycles

   1. Swinging along the Autostrada

      • Richard M. Goodwin

      Pages 125-131

   2. Stability and Instability in a Dynamic Model of Capitalist Production (abridged version)

      • G. Duménil, D. Lévy

      Pages 132-169

   3. On a Microdynamics of a Nonlinear Macrocycle Model

      • Willi Semmler

      Pages 170-199

   4. Stabilization Policy in a Nonlinear Business Cycle Model

      • Duncan K. Foley

      Pages 200-211

4. Linear and Nonlinear Macrodynamics

   1. Some Extensions of a Classical Growth Cycle Model

      • Jörg Glombowski, Michael Krüger

      Pages 212-251

   2. Growth Cycles in a Classical-Keynesian Model

      • Marc Jarsulic

      Pages 252-268

   3. Problems Concerning the Dynamic Analysis of a Keynesian Model with Perfect Foresight

      • P. Flaschel, R. Picard

      Pages 269-288

   4. Cyclical Growth: The Interdependent Dynamics of Industry and Agriculture

      • Edward J. Nell

      Pages 289-303

5. Econometrics of the Dynamics of Proportions and Nonlinear Macrodynamics

   1. The Stability of the Reproduction Scheme: Theoretical Discussion and Empirical Evidence for the United States, 1948–1980

      • Michel Juillard

      Pages 304-323

   2. Testing Non-Linearity in Business Cycles

      • Salih N. Neftci

      Pages 324-340

6. Back Matter

   Pages 341-343

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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).

• Keynes
• econometrics
• growth
• production
• stability

• Economics Department, Graduate Faculty, New School for Social Research, New York, USA

  Willi Semmler

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