Scenario
Two conspirators are arrested and interrogated separately. If one implicates the opposite, he might go free whereas the opposite receives a life sentence. Yet, if each confess, dangerous fate befalls them. If each keep silent, insufficient proof can lead them being charged with and convicted of a lesser crime.
Description
Each player contains a dominant strategy. The ensuing equilibrium is Pareto dominated by an alternate outcome during which every player plays the dominated strategy.
Example
|
|
Prisoner 2
|
|
|
deny
|
confess
|
Prisoner 1
|
deny
|
2,2
|
0,3
|
confess
|
3,0
|
1,1
|
General Form
|
|
Player 2
|
|
|
L
|
R
|
Player 1
|
U
|
a,w
|
b,x
|
D
|
c,y
|
d,z
|
Where the following relations hold:
c>a>d>b
x>w>z>y