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However, in the case of an inferior good, a good for which demand increases when in-
                                       come falls, the income and substitution effects work in opposite directions. Although
                                       the substitution effect decreases the quantity of any good demanded as its price in-
                                       creases, the income effect of a price increase for an inferior good is an increase in the
                                       quantity demanded. This makes sense because the price increase lowers the real income
                                       of the consumer, and as real income falls, the demand for an inferior good increases.
                                          If a good were so inferior that the income effect exceeded the substitution effect, a
                                       price increase would lead to an increase in the quantity demanded. There is controversy
                                       over whether such goods, known as “Giffen goods,” exist at all. If they do, they are very
                                       rare. You can generally assume that the income effect for an inferior good is smaller
                                       than the substitution effect, and so a price increase will lead to a decrease in the quan-
                                       tity demanded.



                                       Defining and Measuring Elasticity
                                       As we saw in Section 1, dependent variables respond to changes in independent variables.
                                       For example, if two variables are negatively related and the independent variable in-
                                       creases, the dependent variable will respond by decreasing. But often the important
                                       question is not whether the variables are negatively or positively related, but how re-
                                       sponsive the dependent variable is to changes in the independent variable (that is, by
                                       how much will the dependent variable change?). If price increases, we know that quan-
                                       tity demanded will decrease (that is the law of demand). The question in this context is
                                       by how much will quantity demanded decrease if price goes up?
                                          Economists use the concept of elasticity to measure the responsiveness of one variable
                                       to changes in another. For example, price elasticity of demand measures the responsiveness
                                       of quantity demanded to changes in price—something a firm considering changing its
                                       price would certainly want to know! Elasticity can be used to measure responsiveness
                                       using any two related variables. We will start by looking at the price elasticity of demand
                                       and then move on to other examples of elasticities commonly used by economists.
                                          Think back to the opening example of the 2004 flu shot panic. In order for Flu-
                                       nomics, a hypothetical flu vaccine distributor, to know whether it could raise its rev-
                                       enue by significantly raising the price of its flu vaccine during the 2004 flu vaccine
                                       panic, it would have to know whether the price increase would decrease the quantity
                                       demanded by a lot or a little. That is, it would have to know the price elasticity of de-
                                       mand for flu vaccinations.


                                       Calculating the Price Elasticity of Demand
                                       Figure 46.1 shows a hypothetical demand curve for flu vaccinations. At a price of $20 per
                                       vaccination, consumers would demand 10 million vaccinations per year (point A); at a price
                                       of $21, the quantity demanded would fall to 9.9 million vaccinations per year (point B).
                                          Figure 46.1, then, tells us the change in the quantity demanded for a particular
                                       change in the price. But how can we turn this into a measure of price responsiveness?
                                       The answer is to calculate the price elasticity of demand. The price elasticity of de-
                                       mand compares the percent change in quantity demanded to the percent change in price as we
                                       move along the demand curve. As we’ll see later, the reason economists use percent
                                       changes is to get a measure that doesn’t depend on the units in which a good is meas-
                                       ured (say, a child-size dose versus an adult-size dose of vaccine). But before we get to
                                       that, let’s look at how elasticity is calculated.
                                          To calculate the price elasticity of demand, we first calculate the percent change in the
                                       quantity demanded and the corresponding percent change in the price as we move along the
        The price elasticity of demand is the ratio
        of the percent change in the quantity  demand curve. These are defined as follows:
        demanded to the percent change in the price
        as we move along the demand curve   (46-1) % change in quantity demanded =  Change in quantity demanded ×  100
        (dropping the minus sign).                                               Initial quantity demanded
        460   section 9     Behind the Demand Curve: Consumer Choice
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