# Game Theory Question

## N\A| 0,900 | 700,700 |

Player 1= Pepsi

Player 2= Coke

A) Solve for the pure strategy Nash equilibrium

B) Is this game a prisoner's Dilema?

C) Is there a cooperative equilibrium? If so, what is it?

D) Does coke have a dominant strategy? Does Pepsi?

## N\A| 0,(900) | 700,700 |

B) Not sure how to answer this

C) Yes. If they both got in contact and made the option to not advertise

D)

I would appreciate some help!

• You need to put in more effort. What exactly are you having trouble with? Simply writing a few sentences doesn't really help. I'd also reccomend cleaning up your formatting a bit. – TheSaint321 May 11 '17 at 0:12

A (possibly mixed) strategy $a$ (weakly) dominates another strategy $b$ for a given player $i$ if player $i$ (weakly) prefers playing $a$ to $b$ for any strategy vector of the other players. In your case, there is just one other player, $j$, and so $i$ simply has to prefer $a$ to $b$ for any strategy played by player $j$.