Hi! I am struggling a bit with the following question, than you so much for your help:

Consider the following variation of what biologists call the chicken game:

Two drivers drive towards each other on a collision course

They have to choose whether to swerve or not

If they both swerve then each one of them will get a payoff of zero.

If no one swerves then both die which will give them a payoff of -100 (the value of their lives)

If one driver swerves and the other does not, the one who swerved will be called a "chicken," meaning a coward. The one who swerves will get a payoff of -1, while the one that drove straight will get a payoff of 1.

The matrix form of this game is given below.

Swerve. Straight

Swerve. a,b c,d

Straight. e,f g,h

What values do these payoffs take?

a=

b=

c=

d=

e=

f=

g=

h=

What are the Nash equilibria of this game? (multiple or none could be right)

1 - (Swerve,Swerve)

2 - (Swerve,Straight)

3 - (Straight,Swerve)

4 - (Straight,Straight)

5 - There are no Nash equilibriums

Thank you so much!