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异质预期条件下房价波动非线性延滞差分方程 被引量:9
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作者 梁以德 徐佳娜 崔芯 《应用数学和力学》 CSCD 北大核心 2007年第6期699-712,共14页
通过建立蛛网模型分析经济变动对具有后向预期性质的房地产市场的价格波动的影响.其中,市场需求函数采用简单使用者成本模型,而供给函数则以存量-流量模型为基础.通过建立一组n阶延滞差分方程来分析一类异质后向预期房价波动模型的性质... 通过建立蛛网模型分析经济变动对具有后向预期性质的房地产市场的价格波动的影响.其中,市场需求函数采用简单使用者成本模型,而供给函数则以存量-流量模型为基础.通过建立一组n阶延滞差分方程来分析一类异质后向预期房价波动模型的性质,例如均衡或振荡,收敛或偏离等.结果显示需求弹性小于供给弹性并不是形成振荡的必要条件.房价的波动会随着异质后向预期假设以及其他内生因素的不同而产生本质不同的变化. 展开更多
关键词 房价波动 延滞差分方程 均衡与振荡 收敛与扩散
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Nonlinear delay difference equations for housing dynamics assuming heterogeneous backward-looking expectations 被引量:1
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作者 梁以德 徐佳娜 崔詠芯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第6期785-798,共14页
China's first interest rate hike during the last decade, aiming to cool down the seemingly overheated real estate market, had aroused more caution on housing market. This paper aims to analyze the housing price dynam... China's first interest rate hike during the last decade, aiming to cool down the seemingly overheated real estate market, had aroused more caution on housing market. This paper aims to analyze the housing price dynamics after an unanticipated economic shock, which was believed to have similar properties with the backward-looking expecta- tion models. The analysis of the housing price dynamics is based on the cobweb model with a simple user cost affected demand and a stock-flow supply assumption. Several nth- order delay rational difference equations are set up to illustrate the properties of housing dynamics phenomena, such as the equilibrium or oscillations, overshoot or undershoot and convergent or divergent, for a kind of heterogeneous backward-looking expectation models. The results show that demand elasticity is less than supply elasticity is not a necessary condition for the occurrence of oscillation. The housing price dynamics will vary substantially with the heterogeneous backward-looking expectation assumption and some other endogenous factors. 展开更多
关键词 housing price dynamics delay rational difference equations equilibrium and oscillations convergent and divergent overshoot and undershoot
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