B. In the text, we defined a dominant strategy as a strategy under which a player does better no matter what his opponent does than he does under any other strategy he could play. Consider now a weaker version of this: We will say that a strategy B is weakly dominated by a strategy A for a player if the player does at least as well playing A as he would playing B regardless of what the opponent does.

a. Are there any weakly dominated strategies for you in the payoff matrix you derived in A(f)?

Are there any such weakly dominated strategies for your partner?

b. It seems reasonable that neither of you expects the other to play a weakly dominated strategy.

So take your payoff matrix and strike out all weakly dominated strategies. The game you are left with is called a reduced game. Are there any strategies for either you or your partner that are weakly dominated in this reduced game? If so, strike them out and derive an even more reduced game. Keep doing this until you can do it no more. What are you left with in the end?