how would you propose the production quotas be allocated to minimize
production costs and maximize prots to share?
Based on minimizing variable costs, and knowing that MR = $3 at 9 units of
output, Firm A should produce 4 units, Firm B should produce 3 units and Firm
C should produce at 2 units per period. Total output is 9 units, MC = $3 for all
three rms, and the total cost of industry production is: $8 for Firm A, $6 for
rm B, and $5 for rm C for a total cost of $19 per period.
How should the pro!t quotas be distributed across the !rms? Ask the
students to consider allocating prots according to each rm’s share of total
production costs. Firm A would receive 8/19 of the prots, rm B would receive
6/19 and rm C would receive 5/19 of the prots. Most students will accept this
as a “fair” allocation of prots for the rms. But this agreement will not work
for long.
Will the cartel survive using this pro!t quota arrangement? Point out
that what keeps each rm in compliance with the agreement is not an
independent assessment of “fairness” for the ultimate prot distribution. The
prot quota agreement must be worthwhile to each and every rm in the
cartel. Emphasize that the prot from complying must exceed the prot from
cheating for each rm if the cartel agreement is to be successful in the long
run.
What is the opportunity cost for complying for each !rm? Point out that
based on Firm C’s cost function, the prospect of its competing with the other
rms is rather grim. But Firm A’s cost function implies that it would not fear
the threat of competition from the other rms because A’s marginal cost is
lower than each of its two (potential) competitors. Because A does not fear
cheating, it will have the upper hand in determining prot quotas for the
cartel. Clearly Firm A will want as much prot as it can have from each of the
other rms without making their prot from cheating exceed their prot from
complying. That is the only prot sharing arrangement that will allow the
cartel to survive over time. What, then, is the long-run prot-sharing
agreement? The answer depends on the demand for the good or service as
well as the strategies played by each rm. For instance if the demand is
inelastic but low, so that if Firm A increased its output by 1 unit the price would
fall so precipitously that Firm C su@ered an economic loss, then even though
the 4th unit would not be directly protable for Firm A to produce, the threat of
so doing might allow Firm A to grab some of Firm C’s “fair share” of prot.
2. What industries are dominated by cartels? OPEC isn’t the only example
of a cartel. Ask students what they think of when they hear the word “cartel,”
and a common response is “drug cartel.” Like the cartels studied in this
chapter, members of a drug cartel agree upon the price at which their
merchandise can be sold. Cooperation can be maintained through a repeated
game where a system of punishments is incorporated. Consider the
punishments members of a drug cartel can impose for violating an
agreed-upon price rule. It probably isn’t much of a surprise that cooperation
among drug cartel members can be maintained when the consequences of
cheating on any agreement include death or the slow and painful removal of
one’s ngernails.
Another example of a cartel that students won’t be as likely to suggest is the
NCAA. The NCAA is an example of a buyer’s cartel, as opposed to a seller’s
cartel, but the results are similar. Schools that are members of the NCAA have
agreed not to pay their student athletes a salary, e@ectively “xing” the price
paid for student athletes. Cooperation is maintained through a system of
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