( 3, 1) . ( 1 , 6 ) I' B S \ Left/ Right * ( 4 , 0 ) Up 5, 5 \ 1 , 4 Down | 4 , 1 | 2 , 2 a . Find two pure strategy NE and one mixed strategy NE...

  For each pure strategy Nash equilibrium you found in question a, do backward induction for a SPNE of the game tree. Put down the SPNE you found, together with the SPNE payoffs.  

Based on the mixed strategy NE you found in question a, do backward induction for a SPNE of the game tree. Put down the SPNE and the payoff. 

. ( 3, 1). ( 1 , 6 )I'BS\ Left/ Right* ( 4 , 0 )Up5, 5\ 1 , 4Down | 4 , 1 | 2 , 2a . Find two pure strategy NE and one mixed strategy NE for thesimultaneous - move subgame ( the matrix game ) , together with the NEpayoff .b. For each pure strategy Nash equilibrium you found in question a , dobackward induction for a SPINE of the game tree . Put down the SPINEyou found , together with the SPINE payoffs .C. Based on the mixed strategy NE you found in question a , do backwardinduction for a SPINE of the game tree . Put down the SPINE and thepayoff .