Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors

DOI10.1016/0022-0531(89)90039-2zbMath0672.90022OpenAlexW2085313606MaRDI QIDQ1120450

Michael C. Mackey

Publication date: 1989

Published in: Journal of Economic Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0531(89)90039-2

zbMATH Keywords

stabilityHopf bifurcationequilibrium priceprice adjustmentoscillatory commodity pricesingle commodity marketstate dependent productionstorage delays

Mathematics Subject Classification ID

Economic growth models (91B62)

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Cites Work

• The dynamics of production and destruction: Analytic insight into complex behavior
• Cournot oligopoly models with time delays
• The dynamics of recurrent inhibition
• Nonlinear models of fluctuating growth. An International Symposium, Siena, Italy, March 24-27, 1983
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Deficits and cycles
• Delays in physiological systems
• On the abundance of aperiodic behaviour for maps on the interval
• Existence of chaos in control systems with delayed feedback
• Temporal disorder in human oscillatory systems. Proceedings of an International Symposium, University of Bremen, September 8-13, 1986
• Distinguishing random and deterministic systems: Abridged version
• Regular and stochastic motion
• High Order Methods for State-Dependent Delay Differential Equations with Nonsmooth Solutions
• Bifurcation from a Heteroclinic Solution in Differential Delay Equations
• Probabilistic Properties of Deterministic Systems
• Homoclinic solution and chaos in
• A Nonlinear Dynamic Model of Short Run Fluctuations
• Existence of Limit Cycles and Control in Complete Keynesian System by Theory of Bifurcations
• Oscillation and Chaos in Physiological Control Systems
• The Existence and Persistence of Cycles in a Non-linear Model: Kaldor's 1940 Model Re-examined
• Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
• The Nonlinear Accelerator and the Persistence of Business Cycles
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