Questions - For questions 1-3, determine if the games are an example of a Prisoner's Dilemma and why:
1. Find the Nash Equilibrium/a in the game below. Citizen's and Santander banks are choosing to keep their interest rate high, or lower it. The payoffs are economic profit for each bank.
|
Santander
|
Maintain Rate
|
Cut Rate
|
Citizen's
|
Maintain Rate
|
($50, $50)
|
($20, $70)
|
Cut Rate
|
($70, $20)
|
($30, $30)
|
2. Find the Nash Equilibrium/a in the game below. You and your roommate are fighting over who's turn it is to do the dishes. The payoffs are in utility units.
|
Roommate
|
Leave
|
Clean
|
You
|
Leave
|
(2, 40)
|
(200, 38)
|
Clean
|
(-20, 42)
|
(101, 41)
|
3. Find the Nash Equilibrium / a in the generic game below.
|
C
|
D
|
E
|
F
|
A
|
(25, 15)
|
(4, 20)
|
(16, 14)
|
(28, 12)
|
B
|
(10, 10)
|
(5, 15)
|
(8, 6)
|
(18, 13)
|