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Daniel l. Rubinfeld

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50 Part 1 Introduction: Markets and Prices<br />

f<br />

.~---------------------------------------------------------------------------=---,<br />

2 The Basics of Supply and Demand 51<br />

60<br />

ci<br />

M§%§ff<br />

&±±<br />

¥<br />

Piifi¥<br />

You should verify that these numbers imply the following for demand and<br />

competitive supply in the short rllI1:<br />

30<br />

Slzort-rlill demand: o = 24.08 - 0.06P<br />

Short-run competitive supply: Sc = 11.74 + 0.07P<br />

~ 40<br />

.!::. "<br />

:;<br />

c...<br />

t 30<br />

~<br />

'-'<br />

Of course, total supply is competitive supply plus OPEC supply, which we take<br />

as constant at 10 bb/yr. Adding this 10 bb/yr to the competitive supply curve<br />

above, we obtain the following for the total short-nm supply:<br />

SllOrt-rilIl total supply: ST = 21.74 + 0,07P<br />

10.".,,_-<br />

You should verify that the quantity demanded and the total quantity supplied<br />

are equal at an equilibrium price of $18 per barrel.<br />

You should also verify that the corresponding demand and supply curves<br />

for the long I'lln are as follows:<br />

I<br />

I I<br />

1975<br />

I I I I I<br />

1980<br />

I I I I I I I<br />

1985<br />

I I I I I I I I I I<br />

1990 1995<br />

I<br />

I<br />

2000<br />

Long-rull demand:<br />

Long-ntn competitive supply:<br />

Long-rull total supply:<br />

o = 32.18 0.51P<br />

Sc = 7.78 + 0.29P<br />

ST = 17.78 + 0.29P<br />

The OPEC cartel and political events caused the price of oil to rise sharply at times. It<br />

later fell as supply and demand adjusted.<br />

This example is set in 1997, so all prices are measured in 1997 dollars. Here<br />

are some rough figures:<br />

• 1997 World price<br />

S18 per barrel<br />

• World demand and total supply = 23 billion barrels per year (bb/yr)<br />

• 1997 OPEC supply = 10 bb/yr<br />

• Competiti\'e (non-OPEC) supply = 13 bb/yr.l2<br />

The following table giyes price elasticity estimates for oil supply and demandY<br />

SHORT-RUN<br />

LONG-RUN<br />

World demand: -0.05 - 0.40<br />

Competitive supply: 0.10 0.40<br />

lc:\on-OPEC supply includes the production of China and the fonner SO\'iet republics_<br />

13 For the ~~urces of these numbers and a more detailed discussion of OPEC oil pricing, see Robert S,<br />

Pmdyck. Cams to Producers from the Cartelization of Exhaustible Resources," Rel'iew or Eco/lolllics<br />

aild Statlsilcs 60 (\!a~ 1978): 238-51; James:vI Griffin and Da\"id J. Teece, OPEC Beilllc'io;' and World<br />

Oil Prices (London: Allen and Cnwin, 1982); and Hillard G Huntinaton, "Inferred Demand and<br />

Supply Elasticities from a Comparison of World Oil Models," in T St~rner, ed, Intemational E/lewll<br />

Ecollomic:' (London: Chapman and Hall, 1992)<br />

LV<br />

Again, you can check that the quantities supplied and demanded equate at a<br />

price of $18.<br />

Saudi Arabia is one of the ,'>'orId's largest oil producers, accounting for<br />

roughly 3 bb/yr, which is nearly one third of OPEC production and about 13<br />

percent of total world production. What would happen to the price of oil if,<br />

because of war or political upheaval, Saudi Arabia stopped producing oil We<br />

can use our supply and demand curves to find out.<br />

For the short lUll, simply subtract 3 from total supply:<br />

SllOrt-rllll demand: o = 24.08 0.06P<br />

SllOrt-nlll total supply: Sr = 18.74 + 0,07P<br />

By equating this total quantity supplied with the quantity demanded, we can<br />

see that in the short nm, the price will more than double to $41.08 per barrel.<br />

Figure 2.21 shows this supply shift and the resulting short-nm increase in price.<br />

The initial equilibrium is at the intersection of ST and D. After the drop in Saudi<br />

production, the equilibrium occurs where S' T and 0 cross.<br />

In the long I'UI1, however, things will be different. Because both demand and<br />

competitive supply are more elastic in the long run, the 3 bb/yr cut in oil production<br />

will no longer support such a high price. Subtracting 3 from long-run<br />

total supply and equating with long-run demand, we can see that the price will<br />

fall to $21.75, only $3.75 above the initial $18 price.<br />

Thus, if Saudi Arabia suddenly stops producing oil, we should expect to see<br />

more than a doubling in price. However, we should also expect to see the price<br />

gradually decline afterw"ard, as demand falls and competitive supply rises, As

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