Pat and Chris have arranged to meet for a date tonight and have sent e$-$mails to one another proposing locations for their meeting: Pat suggests Rulloff$$s and Chris suggests Joe$$s$.$ Before they can agree on a location, the school$$s e$-$ mail and phone systems go down, so they each have to choose their meeting place without further communication. Their payoffs for each potential

outcome are as given in the matrix below. If each is rational and self$-$interested, and each knows the other$$s payoffs and understands the theory of games, what will happen? $($LO$2,$ LO$4)$