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                                                              1.2 THREE KEY ANALYTICAL TOOLS                     15
                      in the supply curve results in an increase in the equilibrium price of pistachio nuts
                      from 4,200 toman to 5,300 toman per kilogram and a decrease in the global equilibrium
                      quantity of pistachios from Q 1  to Q .
                                                    2
                         Almost every day you can find examples of comparative statics in The Wall Street
                      Journal or in the business section of your local newspaper. Typical items deal with ex-
                      ogenous events that influence the prices of agricultural commodities, livestock, and
                      metals. It is not unusual to see headlines such as “Coffee Prices Jump on News of
                      Colombian Labor Strike” or “Corn Prices Surge as Export Demand Increases.” When
                      you see headlines such as these, think about them in terms of comparative statics. As
                      Application 1.2 shows, we can even use comparative statics analysis to illustrate the
                      impact of an economic downturn on the price of tickets to a major sporting event.
                      The two Learning-by-Doing exercises that follow Application 1.2 show you how you
                      can perform a comparative statics analysis of a model of market equilibrium and a
                      model of constrained optimization.


                      APPLICA TION  1.2
                      The Toughest Ticket in Sports                    went down. On April 10, 2009, Stubhub reported that

                                                                       the price of Masters badges to the second round of
                      The Masters, held every year in Augusta, Georgia, is ar-  the tournament had fallen from $1,073 in 2008 to
                      guably the most prestigious professional golf tourna-  $612 in 2009, a decline of 43 percent. 10
                      ment in the world. (It is one of professional golf’s four  The most important difference between 2008 and
                      “Majors”). But Masters tickets (actually known as  2009 was that in the spring of 2009, the United States
                      “Masters badges”) are like season tickets to a football  was in the midst of a deep recession that affected the
                      team—if you have obtained them in the past, you can  demand for many goods that consumers viewed as lux-
                      continue to obtain them. And they are so prized that  uries. It seems likely that some people concluded that a
                      the individuals who have obtained them in the past  trip to watch the Masters golf tournament in person
                      continue to obtain them. As a result, tickets to the  was a luxury they could do without.
                      Masters have not been sold to the general public since  Figure 1.4 shows a comparative statics analysis
                      1972. Even the waiting list has been closed off because  that illustrates the impact of recession on the market
                      it is so long. For this reason, a ticket to the Masters is  for Masters badges. In a given year, the supply of
                      known as the “toughest ticket in sports.” According to  Masters badges is fixed, so the supply curve S is verti-
                      one ticket broker, Masters badges are “among the most  cal, indicating that the supply of available badges
                      coveted tickets for any event, sporting or otherwise.” 9  does not vary with the price. The demand curve in a
                         If you want a Masters badge, you must obtain it  typical year is D 1 . A typical price (e.g., in a year such
                      from a ticket broker such as Stubhub or on an   as 2007 or 2008) for a Masters ticket would be, say,
                      Internet auction site such as eBay. Even though the  $1,100, which occurs at the intersection of S 1 and D 1 .
                      face price of a Masters badge is in the hundreds of  But the recession of 2009 caused a leftward shift in
                      dollars, people who obtain Masters badges on the  the demand curve from D 1 to D 2 , indicating that at
                      Internet or from a broker typically pay a price in the  various possible prices of Masters badges, the quan-
                      thousands. Effectively, the price of Masters badges is  tity that consumers were willing to purchase was less
                      set in the marketplace.                         in 2009 than in 2008. The result of this change in the
                         In 2009, something happened that had not hap-  market for Masters badges is a drop in price from
                      pened in several years: The price of Masters badges  $1,100 to $600.


                      9 “How to Get Masters Tickets,” http://golf.about.com/od/majorchampionships/a/masters_tickets.htm
                      (accessed April 10, 2009).
                      10 “$612: Friday Masters Badges on Stubhub,” http://online.wsj.com/article/SB123932360425607253.
                      html#mod=article-outset-box (accessed April 10, 2009).
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