4. Sonia the ible lands her ship and crew of scurvy-pirate raiders onto a foreign beach. Up on the headland is a village, led by Jen the Brave. At this point, Sonia has a choice: she can SLASH her water barrels, eliminating her water supplies; or she can NOT SLASH, which keeps her water supplies completely intact. Having seen

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Chapter8: Game Theory
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4. Sonia the Terrible lands her ship and crew of scurvy-pirate raiders onto a foreign
beach. Up on the headland is a village, led by Jen the Brave. At this point, Sonia
has a choice: she can SLASH her water barrels, eliminating her water supplies; or
she can NOT SLASH, which keeps her water supplies completely intact. Having seen
the action taken by Sonia, Jen can choose to CHARGE or to WAIT. The payoffs are
as follows: if Sonia the Terrible chooses to SLASH and Jen CHARGES, the payoffs
are (100, 20) to Sonia and Jen, respectively. If Sonia SLASHES and Jen WAITS, the
payoffs are (10, 30). On the other hand, if Sonia chooses to NOT SLASH and Jen
CHARGES, the payoff is (20, 15). If Sonia opts to NOT SLASH and Jen chooses
to WAIT, the payoffs are (40, 10), respectively. What is the subgame perfect (or
credible) equilibrium outcome?
a. Sonia the Terrible chooses to SLASH; Jen the Brave chooses to CHARGE
b. Sonia the Terrible chooses to NOT SLASH; Jen the Brave chooses to WAIT
c. Sonia the Terrible chooses to NOT SLASH; Jen the Brave chooses to CHARGE
d. Sonia the Terrible chooses to SLASH; Jen the Brave chooses to WAIT
e. None of the above.
Transcribed Image Text:4. Sonia the Terrible lands her ship and crew of scurvy-pirate raiders onto a foreign beach. Up on the headland is a village, led by Jen the Brave. At this point, Sonia has a choice: she can SLASH her water barrels, eliminating her water supplies; or she can NOT SLASH, which keeps her water supplies completely intact. Having seen the action taken by Sonia, Jen can choose to CHARGE or to WAIT. The payoffs are as follows: if Sonia the Terrible chooses to SLASH and Jen CHARGES, the payoffs are (100, 20) to Sonia and Jen, respectively. If Sonia SLASHES and Jen WAITS, the payoffs are (10, 30). On the other hand, if Sonia chooses to NOT SLASH and Jen CHARGES, the payoff is (20, 15). If Sonia opts to NOT SLASH and Jen chooses to WAIT, the payoffs are (40, 10), respectively. What is the subgame perfect (or credible) equilibrium outcome? a. Sonia the Terrible chooses to SLASH; Jen the Brave chooses to CHARGE b. Sonia the Terrible chooses to NOT SLASH; Jen the Brave chooses to WAIT c. Sonia the Terrible chooses to NOT SLASH; Jen the Brave chooses to CHARGE d. Sonia the Terrible chooses to SLASH; Jen the Brave chooses to WAIT e. None of the above.
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