ECON 3301 – Game Theory and Strategic Thinking Semester 2 2022
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ECON 3301 – Game Theory and Strategic Thinking
Semester 2 2022
Tutorial 6 - Week 10
1. Consider a game with two players, who can choose sequentially to move up or down. The game is represented by the following tree:
1.1. Find the subgame perfect equilibria of this game in pure strategies.
1.2. Find the subgame perfect equilibria of this game in mixed strategies.
1.3. Now suppose that the game is modified to become a simultaneous move game. Draw a game tree to represent this new game.
1.4. Find the subgame perfect equilibria of this game in pure strategies.
1.5. Find the subgame perfect equilibria of this game in mixed strategies.
2. Suppose that two people play the same stage game twice. At each stage, payoffs are:
P2 P1 |
L |
R |
T |
5,4 |
0,3 |
C |
0,3 |
1,4 |
B |
3,6 |
0,3 |
Find a subgame perfect Nash equilibrium such that in the first period players do not use strategies that would be a Nash equilibrium in the stage game.
2022-10-08