کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5055792 | 1476539 | 2011 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Monopoly with local knowledge of demand function Monopoly with local knowledge of demand function](/preview/png/5055792.png)
In this note, we propose a model where a quantity setting monopolist has incomplete knowledge of the demand function. In each period, the firm sets the quantity produced observing only the selling price and the slope of the demand curve at that quantity. Given this information and through a learning process the firm estimates a linear subjective demand curve. We show that the steady states of the dynamic equation are critical points of the objective profit function. Moreover, results depend on convexity/concavity of the demand. When the demand function is convex and the objective profit function has a unique critical point: the steady state is a globally stable maximum; conversely when then steady state is not unique, local maximums are locally stable, while local minimums are locally unstable. On the other hand when the demand function is concave, the unique critical point is a maximum: there can be stability or instability of the critical point and period two cycles around it via a flip bifurcation. Moreover, through simulations we can observe that, with a mixed inverse demand function, there are different dynamic behaviors, from stability to chaos and that we have transition to complex dynamics via a sequence of period-doubling bifurcations. Finally, we show that the same results can be obtained if the monopolist is a price setter.
Research HighlightsâºA quantity setting monopolist, with local knowledge of demand function, can reach critical points of the canonical model. âºThe dynamic of the system depends on convexity/concavity of the demand function. âºThe same results can be obtained if the monopolist is a price setter.
Journal: Economic Modelling - Volume 28, Issues 1â2, JanuaryâMarch 2011, Pages 299-307