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If income were to change, for example, the effect of the change would be represented by a change in the value of "a" and be reflected graphically as a shift of the demand curve. The constant b is the slope of the demand curve and shows how the price of the good affects the quantity demanded. [6]
Similarly, if the household expects the price of the commodity to decrease, it may postpone its purchases. Thus, some argue that the law of demand is violated in such cases. In this case, the demand curve does not slope down from left to right; instead, it presents a backward slope from the top right to down left.
According to the law of demand, the demand curve is always downward-sloping, meaning that as the price decreases, consumers will buy more of the good. Mathematically, a demand curve is represented by a demand function, giving the quantity demanded as a function of its price and as many other variables as desired to better explain quantity demanded.
The imperfect market faces a down-ward sloping demand curve in contrast to a perfectly elastic demand curve in the perfectly competitive market. [3] This is because product differentiation and substitution occurs in the market. It is very easy for a consumer to change their seller which makes the consumer sensitive to price.
When supply and demand are linear functions the outcomes of the cobweb model are stated above in terms of slopes, but they are more commonly described in terms of elasticities. The convergent case requires that the slope of the (inverse) supply curve be greater than the absolute value of the slope of the (inverse) demand curve:
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The aggregate demand curve is plotted with real output on the horizontal axis and the price level on the vertical axis. While it is theorized to be downward sloping, the Sonnenschein–Mantel–Debreu results show that the slope of the curve cannot be mathematically derived from assumptions about individual rational behavior.
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