Expected payoffs: 2 players each with two pure strategies Player 2 S21(q) 1-q) Plaver1 Su (r) a(,s2,a4(,s2)|a(sn,s2),a2(m,s2) 12 u1(s12S2l,a2(s12,S2)|a1(s2S2),2(s122) Player 1 plays a mixed strategy (r, 1-r). Player 2 plays a mixed strategy( q,1-41 Player 2's expected payoff of playing s21 EU2(S21,(r,-r)=rXl2(31,S21)+(-)×2(512,S21) Player 2's expected payoff of playing s22 EU2(S2,(r,-r)=rXl2(51,2)+(1-r)Xu2(S12,52 Player 2s expected payoff from her mixed strategy v2(r,1-r),(q,1-q)=q×EU2(S21,(7,1-r)+(1-q)×EU21S2(,1-r)Expected payoffs: 2 players each with two pure strategies Player 2 s21 ( q ) s22 ( 1- q ) Player 1 s11 ( r ) u1 (s11, s21), u2 (s11, s21) u1 (s11, s22), u2 (s11, s22) s12 (1- r ) u1 (s12, s21), u2 (s12, s21) u1 (s12, s22), u2 (s12, s22) 13 ◼ Player 1 plays a mixed strategy (r, 1- r ). Player 2 plays a mixed strategy ( q, 1- q ). ➢ Player 2’s expected payoff of playing s21: EU2 (s21, (r, 1-r))=r×u2 (s11, s21)+(1-r)×u2 (s12, s21) ➢ Player 2’s expected payoff of playing s22: EU2 (s22, (r, 1-r))= r×u2 (s11, s22)+(1-r)×u2 (s12, s22) ◼ Player 2’s expected payoff from her mixed strategy: v2 ((r, 1-r),(q, 1-q))=qEU2 (s21, (r, 1-r))+(1-q)EU2 (s22, (r, 1-r))