Expected payoffs: 2 players each with two pure strategies Player 2 S21(q) S2(1-q) Player 11(r) u1(S1,S21),l2(s1,S21) l1(S1,S2),2(S1,S2 12 u1(s12,S21,a2(s12S2)|a1(s12s2,2(12,S2) Player 1 plays a mixed strategy (r, 1-r). Player 2 plays a mixed strategy (a, 1-q). Player 1s expected payoff of playing s EU1(1(q,1-q)=q×u1S1,S21)+(1-q)X1(S1,2 Player 1s expected payoff of playing s12 EU1(S12(q,1-q)=qXu1(12,S21)+(1-q)X1 129422 Player 1' s expected payoff from her mixed strategy v(G,I-r),(q,1-q)=rxEU1s1(q,1-q)+(-)×EU1(s12(q,1-q)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) 12 ◼ Player 1 plays a mixed strategy (r, 1- r ). Player 2 plays a mixed strategy ( q, 1- q ). ➢ Player 1’s expected payoff of playing s11: EU1 (s11, (q, 1-q))=q×u1 (s11, s21)+(1-q)×u1 (s11, s22) ➢ Player 1’s expected payoff of playing s12: EU1 (s12, (q, 1-q))= q×u1 (s12, s21)+(1-q)×u1 (s12, s22) ◼ Player 1’s expected payoff from her mixed strategy: v1 ((r, 1-r), (q, 1-q))=rEU1 (s11, (q, 1-q))+(1-r)EU1 (s12, (q, 1-q))