Phase Transition of the Localized Macroeconomic Agent-Based Model
Abstract: The fluctuations and phase transition phenomena in the macroeconomic agent-based model are investigated by using phase transition theory in statistical physics. Numerical simulations are performed on the MARK I agent-based model and typical discontinuous phase transitions are found. Localization conditions are introduced in the model so that the interactions between agents are limited geographically and the critical points in the phase transitions are analyzed. Moreover, the influence of the different values of price and production sensitivity parameters are studied as well as the coupling relations with the localization conditions. Our results may be potentially useful in providing a clue to improve the economic conditions from the viewpoint of phase transitions and synchronization in physics.
文章引用: 冯媛媛 , 徐彦彦 , 倪 赟 , 吴 亮 (2015) 局域化条件下宏观经济代理人基模型的相变。 声学与振动， 3， 23-29. doi: 10.12677/OJAV.2015.33004
 Strogatz, S. (2003) Sync: The Emerging Science of Spontaneous Order. Hyperion.
Buck, J. and Buck, E. (1978) Toward a Functional Interpretation of Synchronous Flashing by Fireflies. American naturalist, 112, 471-492.
Sismondo, E. (1990) Synchronous, Alternating, and Phase-Locked Stridu-lation by a Tropical Katydid. Science, 249, 55-58.
Li, D., Liu, K., Sun, Y. and Han, M. (2008) Emergent Computation: Virtual Reality from Disordered Clapping to Ordered Clapping. Science in China Series F: Information Sciences, 51, 449-459.
Traub, R.D., Miles, R. and Wong, R.K. (1989) Model of the Origin of Rhythmic Population Oscillations in the Hippocampal Slice. Science, 243, 1319-1325.
Hong, H., Choi, M.Y. and Kim, B.J. (2002) Synchronization on Small-World Networks. Physical Review E, 65, Article ID: 026139.
Moreno, Y. and Pacheco, A.F. (2004) Synchronization of Kuramoto oscillators in Scale-Free Networks. EPL (Europhysics Letters), 68, 603.
Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y. and Zhou, C. (2008) Synchronization in Complex Networks. Physics Reports, 469, 93-153.
Gaffeo, E., Gatti, D.D., Desiderio, S. and Gallegati, M. (2008) Adaptive Microfoundations for Emergent Macroeconomics. Eastern Economic Journal, 34, 441-463.
Gatti, D.D., Desiderio, S., Gaffeo, E., Cirillo, P. and Gallegati, M. (2011) Macroeconomics from the Bottom-Up (Vol. 1). Springer Science & Business Media, Berlin.
Gualdi, S., Bouchaud, J.P., Cencetti, G., Tarzia, M. and Zam-poni, F. (2015) Endogenous Crisis Waves: Stochastic Model with Synchronized Collective Behavior. Physical review letters, 114, Article ID: 088701.
 Gatti, D., Gaffeo, E., Gallegati, M., Giulioni, G. and Pa-lestrini, A. (2008) Emergent Macroeconomics: An Agent-Based Approach to Business Fluctuations. Springer Science & Business Media, Berlin.
 Westerhoff, F. (2010) An agent-based macroeconomic model with interacting firms, socio-economic opinion formation and optimistic/pessimistic sales expectations. New Journal of Physics, 12, Article ID: 075035.