Consider the following normal form game. There are two players. Each player's set of pure strategies is [0,10]. The payoff function of playeri= 1,2is as follows: wherei /=j,

ui(x1, x2) = xi ifxi

1/2xiifxi=xj

0 if xi>xj

(a) In a well-labeled figure, draw the pure strategy best response curves of each agent. Note that the domain and the range of the curves are [0,10]. Find the Nash Equilibrium of this game given the curves.

(b) find the weakly or strongly dominated action if there are any