the extensive formof the game.) The first move is MNF’s: whether to invest or
not. If MNF does invest, the next move (at the time the mine becomes opera-
tional) is DC’s: whether to honor the 50–50 agreement or to expropriate the
mine. In the game tree, squares represent points of decision, and monetary
payoffs are shown at the branch tips of the tree. Here both players’ payoffs are
shown: MNF’s first, then DC’s. (Political considerations aside, we presume that
the monetary payoffs accurately portray the objectives of the parties.)
Furthermore, although it is easy to envision other actions and reactions by the
parties, we have kept things simple: one move for each player.
At the initial move, should MNF invest in the mine? To answer this ques-
tion, MNF’s management need only look ahead to DC’s subsequent move
and the ensuing payoffs. Once the mine is operational, DC can be expected
to expropriate it; DC certainly prefers an $80 million payoff to a mere $50
million from cooperation. Foreseeing this (and the resulting $20 million
loss), MNF wisely decides not to invest. The parties find themselves on the
horns of a dilemma. Both would gain handsomely from a cooperative agree-
ment. But under the current circumstances, such an agreement is unen-
forceable. DC’s position is particularly vexing. It can promise MNF that it will
not expropriate the mine. But talk is cheap. Given the economic stakes, the
promise is not credible. Even if DC intended to honor the agreement out of
the goodness of its heart, how could it credibly convince MNF of its good
intentions?
If the desirable cooperative outcome is to be achieved, the parties must
structure an agreement that alters DC’s incentives to expropriate. DC will
418 Chapter 10 Game Theory and Competitive Strategy
FIGURE 10.1
Moving toward an
International
Agreement
Game trees are solved
from right to left.
Anticipating that DC
will expropriate, MNF
chooses not to invest
in the first place.
0, 0
Invest
Do not invest
agreement
Honor cooperative
Expropriate
50, 50
–20, 80
MNF
DC
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