Ken and Gerard are roommates in a cluttered in room.

Ken and Gerard are roommates in a cluttered in room. If they both help to clean up each gets a utility of eight. If one cleans and the other does not, the one who does nothing gets a utility of ten while the one who does all the cleaning gets a utility of two. If neither cleans, they each get three units of utility. 

a. Fill in the payoff matrix.

b. Does Ken have a dominant strategy? Explain why (not).