I n t h I s c h a p t e r y o u w I l L



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[N. Gregory(N. Gregory Mankiw) Mankiw] Principles (BookFi)

prisoners’ dilemma.
This game
provides insight into the difficulty of maintaining cooperation. Many times in life,
people fail to cooperate with one another even when cooperation would make
them all better off. An oligopoly is just one example. The story of the prisoners’
dilemma contains a general lesson that applies to any group trying to maintain co-
operation among its members.
T H E P R I S O N E R S ’ D I L E M M A
The prisoners’ dilemma is a story about two criminals who have been captured by
the police. Let’s call them Bonnie and Clyde. The police have enough evidence to
convict Bonnie and Clyde of the minor crime of carrying an unregistered gun, so
that each would spend a year in jail. The police also suspect that the two criminals
have committed a bank robbery together, but they lack hard evidence to convict
them of this major crime. The police question Bonnie and Clyde in separate rooms,
and they offer each of them the following deal:
“Right now, we can lock you up for 1 year. If you confess to the bank robbery
and implicate your partner, however, we’ll give you immunity and you can go
free. Your partner will get 20 years in jail. But if you both confess to the crime, we
won’t need your testimony and we can avoid the cost of a trial, so you will each
get an intermediate sentence of 8 years.”
If Bonnie and Clyde, heartless bank robbers that they are, care only about their
own sentences, what would you expect them to do? Would they confess or remain
silent? Figure 16-2 shows their choices. Each prisoner has two strategies: confess or
remain silent. The sentence each prisoner gets depends on the strategy he or she
chooses and the strategy chosen by his or her partner in crime.
Consider first Bonnie’s decision. She reasons as follows: “I don’t know what
Clyde is going to do. If he remains silent, my best strategy is to confess, since then
I’ll go free rather than spending a year in jail. If he confesses, my best strategy is
p r i s o n e r s ’ d i l e m m a
a particular “game” between two
captured prisoners that illustrates
why cooperation is difficult to
maintain even when it is mutually
beneficial
Bonnie’s Decision
Confess
Confess
Bonnie gets 8 years
Clyde gets 8 years
Bonnie gets 20 years
Clyde goes free
Bonnie goes free
Clyde gets 20 years
Bonnie gets 1 year
Clyde gets 1 year
Remain Silent
Remain
Silent
Clyde’s
Decision
F i g u r e 1 6 - 2
T
HE
P
RISONERS
’ D
ILEMMA
.
In
this game between two criminals
suspected of committing a crime,
the sentence that each receives
depends both on his or her
decision whether to confess or
remain silent and on the decision
made by the other.


3 6 0
PA R T F I V E
F I R M B E H AV I O R A N D T H E O R G A N I Z AT I O N O F I N D U S T R Y
still to confess, since then I’ll spend 8 years in jail rather than 20. So, regardless of
what Clyde does, I am better off confessing.”
In the language of game theory, a strategy is called a 

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