In: Economics
Settler 2 |
|||
Move West |
Move North |
||
Settler 1 |
Move West |
60, 110 |
100, 140 |
Move North |
70, 130 |
90, 100 |
What is (are) equilibrium outcome(s) of the game?
a-
If settler 1 moves west, it is optimal for settler 2 to move north.
If settler 1 moves north, it is optimal for settler 2 to move west.
So, there is no dominant strategy for settler 2.
If settler 2 moves west, it is optimal for settler 1 to move north.
If settler 2 moves north, it is optimal for settler 1 to move west.
So, there is no dominant strategy for settler 1.
Therefore, no player has any dominant strategy.
b-
There are 2 equilibrium outcomes:
Settler 1 moves north, settler 2 moves west.
Settler 1 moves west, settler 2 moves north.
At these strategies there is no incentive for any settler to switch to other strategy and hence they are nash equilibrium.