3. (20 points)Consider the game represented in the extensive form by the game tree below Bob (10,11) (4,16) (20,11) (1,3) (18,20) (7,20) (16,11) (a) (10 points) Write down a list of players and, for each player, write down the players' strategy set (i.e. full list of available strategies) (b) (10 points) Use backward induction to solve for the Subgame Perfect Equilibrium of the game. Be careful in writing the SPNE strategy profile