B Left Center Right (4,1) (2,0) (3,6) (1,6) (1,4) (2,2) (3,4) (6,3) (4,3) A Up Middle Down a. Determine if the game has any pure strategy Nash Equilibriums. b. Determine the Nash Equilibrium for Player B if Player A makes his/her choice by randomly choosing Up, Middle or Down. c. Now explain what happens to your answer in part b. if Player A is known as a person who: i. Likes to take risks. ii. Does not like to take risks. d. Determine the Nash Equilibrium if the game was sequential and Player A goes first.