Cyclical Fluctuations in Continuous Time Dynamic Optimization Models: Survey of General Theory and an Application to Dynamic Limit Pricing

DOI10.1007/978-1-4614-5131-0_13zbMath1328.49027OpenAlexW2221967177MaRDI QIDQ5244692

Toichiro Asada

Publication date: 30 March 2015

Published in: Optimization, Simulation, and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-5131-0_13

zbMATH Keywords

Hopf bifurcationdynamic optimization modelsdynamic limit pricingcyclical fluctuations

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Microeconomic theory (price theory and economic markets) (91B24) Dynamic programming (90C39)

Cites Work

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• Limit cycles in intertemporal adjustment models
• Equilibrium cycling with small discounting
• On the optimality of limit cycles in dynamic economic systems
• Dynamic limit pricing and internal finance
• The Hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth
• Endogeneous growth and the balanced growth equilibrium
• Criterion of Hopf bifurcations without using eigenvalues
• Coefficient criterion for four-dimensional Hopf bifurcations: a complete mathematical characterization and applications to economic dynamics
• Investment, credit, and endogenous cycles

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