3. Rachel has the payoff functionu(x,y)over her strategy x, and Larry's strategy y. Larry's payoff function isv(x,y).The strategy set for each player is the set of real numbers:,

u(x,y)=xy+x-x2

v(x,y)=xy-2y-2y2

(c) (2 points) Argue either that Rachel has a strongly dominant strategy or that she does not.

(d) (5 points) Find a Nash equilibrium in this game.