Three-Dimensional Nonlinear Dynamic Model and Macro Control of Real Estate

Dan Ma, Shengwu Zhou, Haojin Lv

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DOI: 10.4236/iim.2010.25038                

Abstract

In this paper, according to economics of real estate and macro-control theory, combine with the characteristics of the real estate market, macro-control of the real estate market is studied. After giving the dynamic model of three-dimensional nonlinear differential equations based on the total number of houses on the real estate business, the government’s averages housing investment funds and the standard price, systematically established the stability conditions of equilibrium point for this model. What’s more, through the use of extreme value analysis model, government funds have been invested in real estate business building devotion principles and the construction base of the real estate businessmen has also been estimated successfully. This provides the corresponding theoretical basis for government macro control policy-making.

Keywords

Real Estate, Macro Control, Three-Dimensional Dynamic Model, Extreme Value Analysis

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	C. F. Sirmans, and E. Worzala, “International Direct Real Estate Investment: A Review of the Literature,” Urban Studies, Vol. 40, No. 5-6, 2003, pp. 1081-1114.
[2]	F. Modigliani, “The Channels of Monetary Policy in the Federal Reserve—MIT University of Pennsylvania Econometric model of the United States,” In: G. A. Renton, Ed., Modeling the Economy, Heinemann Educational Books, London, 1995, pp.240-267.
[3]	J. L. Kling and T. E. McCue, “Stylized Facts About Industrial Property Construction,” Journal of Real Estate Research, Vol. 6, No. 3, 1991, pp.293-304.
[4]	K. Aoki, J. Proudman and G. Vlieghe, “House Prices, Consumption, and Monetary Policy: A Financial Accelerator Approach,” Journal of Financial Intermediation, Vol.13, No. 4, October 2004, pp.414-435.
[5]	M. M. Iacoviello, “House Prices and the Macro Economy in Europe: Results from a Structural VAR Analysis,” European Central Bank Working Paper No. 18, April 2000.
[6]	J. Xu and X. Xiao, “Game Analysis on the Government and Developer Behaviors in the Process of Macro Control of Real Estate,” Journal of Chongqing Institute of Technology, Vol. 21, No. 8, 2007, 34-36.
[7]	X. F. Nie and C. Z. Liu. “A Practical Analysis on the Impact of Monetary Policy upon Real Estate,” Journal of Henan Institute of Financial Management, Vol. 23, No. 4, 2005, pp.63-65.
[8]	Y. J. Li and Y. Yang, “The Effect of Interest Rate and Money Supply Impose on Real Estate Investment: In China an Empirical Analysis,” Journal of Xi’an Institute of Finance and Economics, Vol. 18, No. 5, 2005, pp. 47-51.
[9]	C. Hua, “Three Dimensional Dynamical Models for the Scale of Recruiting Students of universities, Government’s Devotion of Outlays and Standard of Tuitions with Applications to Government’s Macroscopically Controls,” Journal of Chengdu University of Technology (Science & Technology Edition), Vol. 34, No. 6, 2007, pp. 657-660.
[10]	Q. Lu, “Qualitative Methods and Bifurcation of Ordinary Differential Equations,” Beijing University of Aeronautics and Astronautics Press, Beijing, 1989.
[11]	C. Hua, “Mathematical Models of Dynamical Prices for Sale of Commodity when the Prices Wave: Stability of Prices with Analysis of Macroscopic Adjustment and Control,” Chinese Journal of Engineering Mathematics, Vol. 24, No. 3, 2007, pp. 446-450.