Answering only problem 1
C) Pure strategy of Howard (H) = 2 (Number). SH= {up, down } Ang Let left L, Middle=M, Right=f close= c, open = Strategy &et of Izzy (1) SI= { 0,c} x { L, M, R} = {OL, OM, OR, CL, CM, CR} = 6 strategies Ang 6.) Svae = {In, out} = 2 (Number) Swinn = { L, R3 x {L, R3 ={LL, LR, RL, RR3 = 4. SXavier= { up, down} x {up, down 3x { up, down 3x up, down} down, down} Let up- U down = d. & {uu, ud, du, dd 3xş ud } x {u,d} = 96 stategies