Below are some game matrices.
Identify all Pareto efficient outcomes, all pure strategy Nash Equilibria and mixed-strategy Nash equilibria. Identify which of these are stable. These games are not symmetrical so, if there are mixed strategy Nash Equilibria, they may have different randomization strategies.
You also need
identify the type of game:
-coordination
-Asymmetric coordination (battle-of-the-sexes)
-Stag Hunt (trust)
-Chicken/Hawk-Dove (conflict)
-Prisoner’s Dilemma (cooperation).
Remember to refer to Nash equilibria and Pareto efficient states by the
strategies
(e.g., (A,A)),
not
by the payoffs.
Also, attached is a mid-quarter review which can provide some hints on how to solve if you get stuck.
Pareto efficient outcomes:
Pure strategy NE:
Mixed-strategy NE: Yes or No
If Yes, P1 plays A __% of the time. P2 plays A __% of the time.
Which Nash equilibria are stable (check pure and mixed):
Type of game:
Pareto efficient outcomes:
Pure strategy NE:
Mixed-strategy NE: Yes or No
If Yes, P1 plays A __% of the time. P2 plays A __% of the time.
Which Nash equilibria are stable (check pure and mixed):
Type of game:
Pareto efficient outcomes:
Pure strategy NE:
Mixed-strategy NE: Yes or No
If Yes, P1 plays A __% of the time. P2 plays A __% of the time.
Stable Nash (check pure and mixed):
Type of game:
Pareto efficient outcomes:
Pure strategy NE:
Mixed-strategy NE: Yes or No
If Yes, P1 plays A __% of the time. P2 plays A __% of the time.
Stable Nash (check pure and mixed):
Type of game:
Pareto efficient outcomes:
Pure strategy NE:
Mixed-strategy NE: Yes or No
If Yes, P1 plays A __% of the time. P2 plays A __% of the time.
Stable Nash (check pure and mixed):
Type of game: