Coupled Oscillator Model of the Business Cycle with Fluctuating Goods Markets(Real Economy,Proceedings of the YITP Workshop on Econophysics,Econophysics 2011-The Hitchhiker's Guide to the Economy-)
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概要
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The sectoral synchronization observed for the Japanese business cycle in the Indices of Industrial Production data is an example of synchronization. The stability of this synchronization under a shock, e.g., fluctuation of supply or demand, is a matter of interest in physics and economics. We consider an economic system made up of industry sectors and goods markets in order to analyze the sectoral synchronization observed for the Japanese business cycle. A coupled oscillator model that exhibits synchronization is developed based on the Kuramoto model with inertia by adding goods markets, and analytic solutions of the stationary state and the coupling strength are obtained. We simulate the effects on synchronization of a sectoral shock for systems with different price elasticities and the coupling strengths. Synchronization is reproduced as an equilibrium solution in a nearest neighbor graph. Analysis of the order parameters shows that the synchronization is stable for a finite elasticity, whereas the synchronization is broken and the oscillators behave like a giant oscillator with a certain frequency additional to the common frequency for zero elasticity.
- 2012-06-14
著者
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Fujiwara Yoshi
Nict Atr Cis Applied Network Science Lab.
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Fujiwara Yoshi
Nict/atr Cis Applied Network Science Lab.
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Ikeda Yuichi
Hitachi Research Institute
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Aoyama Hideaki
Kyoto University
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Iyetomi Hiroshi
Department Of Physics Niigata University
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Aoyama Hideaki
Physics Department Kyoto University
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Yoshikawa Hiroshi
Faculty Of Economics University Of Tokyo
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Ikeda Yuichi
Institute Of Industrial Science University Of Tokyo
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AOYAMA Hideaki
Graduate School of Sciences, Kyoto University
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FUJIWARA Yoshi
Graduate School of Simulation Studies, University of Hyogo
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OGIMOTO Kazuhiko
Institute of Industrial Science, University of Tokyo
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SOUMA Wataru
College of Science and Technology, Nihon University
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Souma Wataru
College Of Science And Technology Nihon University
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Fujiwara Yoshi
University of Hyogo
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Fujiwara Yoshi
Graduate School Of Simulation Studies University Of Hyogo
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Ogimoto Kazuhiko
Institute Of Industrial Science University Of Tokyo
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SOUMA Wataru
NiCT ATR CIS, Applied Network Science Lab.
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Fujiwara Yoshi
NiCT ATR
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