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Differentiated Bertrand competition
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Differentiated Bertrand competition : ウィキペディア英語版
Differentiated Bertrand competition

As a solution to the Bertrand paradox in economics, it has been suggested that each firm produces a somewhat differentiated product, and consequently faces a demand curve that is downward-sloping for all levels of the firm's price.
An increase in a competitor's price is represented as an increase (for example, an upward shift) of the firm's demand curve.
As a result, when a competitor raises price, generally a firm can also raise its own price and increase its profits.
==Calculating the differentiated Bertrand model==

*q1 = firm 1’s demand,
*q1≥0
*q2 = firm 2’s demand,
*q1≥0
*A1 = Constant in equation for firm 1’s demand
*A2 = Constant in equation for firm 2’s demand
*a1 = slope coefficient for firm 1’s price
*a2 = slope coefficient for firm 2’s price
*p1 = firm 1’s price level pr unit
*p2 = firm 2’s price level pr unit
*b1 = slope coefficient for how much firm 2's price affects firm 1's demand
*b2 = slope coefficient for how much firm 1's price affects firm 2's demand
*q1=A1-a1
*p1+b1
*p2
*q2=A2-a2
*p2+b2
*p1
The above figure presents the best response functions of the firms, which are complements to each other.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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