My chosen topic is the Cuban Missile Crisis. The game has two players, player 1, the
United States, and player 2, the Soviet Union; both players have multiple choices.
The United States (player 1) could start by either threatening so the missiles are
removed or could not make a threat. After the United States (player 1) makes a
choice, the Soviet Union (player 2) has to choose whether to remove the missiles or
not. Finally, after the Soviet Union (player 2) makes a decision, the United States
(player 1) has to choose whether to back down from the threat or go through with it.
The game has three subgames, and it is a sequential model rather than a
simultaneous game seeing as the players have to make their decision based on the
decision made by the previous player. Each player could use backward induction to
search for his or her best answer by looking at their options at the end and going
from there. When it comes to each player's preferences, the United States (player 1)
would prefer to make a threat and the Soviet Union (player 2) to remove the
missiles. On the other hand, the Soviet Union (player 2) would prefer for the United
States (player 1) to not remove their missiles after the United States (player 1)
makes a threat, and they would like for the United States (player 1) to back down
from the threat.
