Cobweb Theorems with Production Lags and Price Forecasting

Daniel Dufresne and Felisa Vázquez-Abad (2013). Cobweb Theorems with Production Lags and Price Forecasting. Economics: The Open-Access, Open-Assessment E-Journal, 7 (2013-23): 1—49. http://dx.doi.org/10.5018/economics-ejournal.ja.2013-23
[下載 PDF: Download (pdf, 800.8 kB)](SSCI 期刊)

==noted by yinung==

這篇是理論性文章,數學用了不少,並不好讀。

生產落後期的例子: 挖礦 => 金屬生產
… An important aspect of mining is the lag between the time the decision to increase or decrease production
is made and the time the decision actually takes effect in the market. It takes several years for a planned new mine to start producing, …

主要研究發現:

Numerical Examples 1. l=落後期變長>=4, 價格波動變成發散

 image

Numerical Examples 2. m=預期價格期數變長, 價格波動變成愈穩定

註: m =0 是典型 cobweb 理論, 即只用當期價格, 預測下一期價格

image

Numerical Examples 3. c= s/d =供給彈性/需求彈性, c 供需彈性比愈大, 價格波動愈不穩定

image

==original abstract==

(yinung 翻譯的)
在較長期的價格預測下,對價格有穩定作用。較長生產落後期並不會導致價格不穩。很長的生產落後期可導致波動之循環。

Abstract
The classical cobweb theorem is extended to include production lags and price forecasts. Price forecasting based on a longer period has a stabilizing effect on prices. Longer production lags do not necessarily lead to unstable prices; very long lags lead to cycles of constant amplitude. The classical cobweb requires elasticity of demand to be greater than that of supply; this is not necessarily the case in a more general setting. Random shocks are also considered.

==references==

* Chiarella (1988)studies a system where expected prices follow adaptive expectations, when the demand curve is linear, while the supply curve is non-linear…[The] paper shows that the system is either (1) stable, (2) unstable but cyclical, or (3) chaotic.

* Chiarella and He (2004). That paper studies the cobweb model from a slightly different point of view (in particular, the supply curve is a specific S-shaped function),

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