<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The real estate market is an open system, which implies that it is able to exchange signals with other open systems and dynamic systems. The evolution of a market system over time can be described mathematically. If the system's sensitivity threshold to external stimuli is exceeded, it becomes destabilized and moves from a near-balanced state to a state that is far from equilibrium. Those dynamic processes often induce key changes in the system's trajectory of evolution. In search of equilibrium, the system becomes transformed in a process of discontinuous and discrete changes in state variables. The above statement constitutes the research hypothesis in this article. </p><p>In this study, an attempt was made to develop a mathematical model for visualizing the evolutionary path of the real estate market in the form of continuous changes interrupted by discontinuous changes. The qualitative transformation of the system will be evaluated with the use of the catastrophe theory.</p></abstract>

The real estate market is an open system, which implies that it is able to exchange signals with other open systems and dynamic systems. The evolution of a market system over time can be described mathematically. If the system's sensitivity threshold to external stimuli is exceeded, it becomes destabilized and moves from a near-balanced state to a state that is far from equilibrium. Those dynamic processes often induce key changes in the system's trajectory of evolution. In search of equilibrium, the system becomes transformed in a process of discontinuous and discrete changes in state variables. The above statement constitutes the research hypothesis in this article. In this study, an attempt was made to develop a mathematical model for visualizing the evolutionary path of the real estate market in the form of continuous changes interrupted by discontinuous changes. The qualitative transformation of the system will be evaluated with the use of the catastrophe theory.

Catastrophe Theory in Explaining Price Dynamics on the Real Estate Market

Faculty of Geodesy and Land Management University of Warmia and Mazury in Olsztyn

Real Estate Management and Valuation

{"article-title":"Catastrophe Theory in Explaining Price Dynamics on the Real Estate Market"}

The real estate market is an open system, which implies that it is able to exchange signals with other open systems and dynamic systems. The evolution of a...

Catastrophe Theory in Explaining Price Dynamics on the Real Estate Market

Online veröffentlicht: 08. Okt. 2013

Seitenbereich: 51 - 61

DOI: https://doi.org/10.2478/remav-2013-0026

Schlüsselwörter
cusp catastrophe, real estate market, discontinuity of prices

This content is open access.

Catastrophe Theory in Explaining Price Dynamics on the Real Estate Market

Online veröffentlicht: 08. Okt. 2013

Seitenbereich: 51 - 61

DOI: https://doi.org/10.2478/remav-2013-0026

Schlüsselwörtercusp catastrophe, real estate market, discontinuity of prices

This content is open access.

Schlüsselwörter
cusp catastrophe, real estate market, discontinuity of prices