Example
Consider the game
| Ben | |||
|---|---|---|---|
Anna |
Help | Leave | |
| Help | 3, 2 | 0, 0 | |
| Leave | 0, 0 | 2, 1 | |
Anna can Help or Leave the village. Ben can also either Help or Leave.
In equilibrium:
- Anna plays a best response to Ben's strategy.
- Ben plays a best response to Anna's strategy.
Here, they reach an equilibrium when they take the same action.
| Ben | |||
|---|---|---|---|
Anna |
Help | Leave | |
| Help | 2, 1 | 0, 0 | |
| Leave | 0, 0 | 3, 2 | |
(Help, Help) is an equilibrium. (Leave, Leave) is an equilibrium too!
Question
The payoff matrix is
| Ben | |||
|---|---|---|---|
Anna |
Help | Leave | |
| Help | 53, -26 | 60, -5 | |
| Leave | 46, -58 | 10, 75 | |
What is the equilibrium(s) of the game above?
The equilibrium is (Help, Leave)