Mu, Lingling; Ma, Junhai; Chen, Liwen A 3-dimensional discrete model of housing price and its inherent complexity analysis. (English) Zbl 1193.93067 J. Syst. Sci. Complex. 22, No. 3, 415-421 (2009). Summary: A discrete nonlinear model of real estate is derived, with which the evolutionary trend among government, consumers and real estate developers is described. The stability, bifurcation, and chaotic behavior of the system are also analyzed by using the nonlinear dynamic method. Results show that chaos can be obtained via quasi-periodic transition and double-periodic bifurcation. The influence of dynamic evolutionary trend on system stability is also studied and some interesting conclusions are derived. This research can effectively explain the complex behavior of housing prices. Cited in 4 Documents MSC: 93A30 Mathematical modelling of systems (MSC2010) 93C10 Nonlinear systems in control theory 91B74 Economic models of real-world systems (e.g., electricity markets, etc.) 93C55 Discrete-time control/observation systems Keywords:bifurcation; chaos; discrete dynamical system; housing price PDFBibTeX XMLCite \textit{L. Mu} et al., J. Syst. Sci. Complex. 22, No. 3, 415--421 (2009; Zbl 1193.93067) Full Text: DOI References: [1] J. H. Ma, The Reconstruction Technology of Complex Nonlinear System, Tianjin University Press, Tianjin, 2005. [2] M. J. Stutzer, Chaotic dynamics and bifurcation in a macro model, Journal of Economic Dynamics and Control, 1988, 2(1): 353–376. [3] D. K. Dackus, P. J. Kehoe, and F. E. Kydland, Dynamics of the trade 603 balance and the terms of trade: The J curve? American Economic 604 Review, 1994, 84(1): 84–103. [4] TönuPuu, Rational expectations and the Cournot-theocharis problem, Discrete Dynamics in Nature and Society, 2006, 2006: 1–11. · Zbl 1152.91328 [5] X. S. Luo, B. H. Wang, and G. R. Chen, On dynamics of discrete model based on investment competition, Journal of Management Sciences in China (in Chinese), 2004, 17(3): 7–30. [6] H. R. Priesmeyer and K. Baik, Dynamics economic system, Planning Review, 1994, 17(6): 14–26. [7] John R. Knight, William E. Herrin, and Arsene M. Balihuta, Housing prices and maturing real estate markets evidence from Uganda, Journal of Real Estate Finance and Economics, 2004, 28(1): 5–18. [8] Geoff Kenny U, Modeling the demand and supply sides of the housing market: Evidence from Ireland, Economic Modelling, 1999, 16(3): 389–409. [9] F. V. Waugh, Cobweb models, Journal of Farm Economics, 1964, 46(4): 732–750. [10] H. N. Agiza, A. S. Hegazi, and A. A. Elsadany, Complex dynamics and synchronization of a duopoly game with bounded rationality, Mathematics and Computers in Simulation, 2002, 58(2): 133–146. · Zbl 1002.91010 [11] Ahmad K. Naimzada and Lucia Sbragia, Oligopoly games with nonlinear demand and cost functions: Two boundedly rational adjustment processes, Chaos, Solitons, and Fractals, 2006, 29(3): 707–722. · Zbl 1142.91340 [12] Theo Offerman, Jan Potters, and Joep Sonnemans, Imitation and belief learning in an oligopoly experiment, the Review of Economic Studies, 2002, 69: 973–997. · Zbl 1046.91051 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.