Economic Dynamics with time delays and nonlinearities
Project/Area Number |
21530172
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Economic theory
|
Research Institution | Chuo University |
Principal Investigator |
|
Research Collaborator |
FERENC Szidarovszky University of Arizona, Department of Systems and Industrial, Engineering
|
Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
|
Keywords | 経済動学 / 非線形動学 / カオス / 時間遅延 / 連続時間モデル / 分岐 / 固定的時間遅れ / 連続分布時間遅れ / 連続時間動学 / Hopf分岐 / Stability switch / 限定合理性 / 非線形性 / 固定的時間遅延 / 連続分布時間遅延 / 非線形寡占モデル / マクロ景気循環モデル / ホップ分岐 / 製品差別化 / Price competition / Quantity competition / Oligopoly / Differentiated_goods / Nonlinear dynamics |
Research Abstract |
Applying the nonlinear dynamic theory and using the delay differential equations, we reconsider not only classical business cycles models but the canonical microeconomic theory concerning monopoly and duopoly. It is analytically and numerically demonstrated that any nonlinear economic dynamic models can generate simple dynamics such as a limit cycles if the delays are continuously distributed and complex dynamics involving chaos if the delays are fixed.
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Report
(4 results)
Research Products
(49 results)