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Suppose we have a market with two firms, and market demand Q = 18 - P and a cost c(Q) =Q2. Suppose that firm 1 has first move

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Two froms Q = 18-P (9) 29 from- mous first moves Sequentially is called stackleberg la) market where two fiones Leader marketProfit function of from-1 TT, TRI- TI 2 Podi - I Qi TI - (18-49 ) - 40,2 2 (18-01-2₂ 101- I al 2 IT, = ( 18-01- ( 18-01) 201= 302= 18-di 18 - 36 7 -S 392 = 126-36 7 392 = 90 7 92 30 7 from is output a = 36 - T firm als out Put q2 = 30 7 a = aita2 =(C) Cournot market BR2 : 18-81 Profit function of firm-1, Ili = TRI - TO P.Q1 - I ai? = (18-9191 - 201² TI = (18-91-92 191 -18+ (81)2 = 18b - = 405 → , = 2(18) 8 from BR2, 18-91 = 405 3 P = 18-0 = 18- (ait Q2) = 18-9 = 9 Stackte berg Cournor a = 9 GSur live with) Cs (consumer Sur Stackelberg Cournot CS (18- (S = 1 / 4 (18-9](9) - 2 601159) 66 - 1 (al (9) NI- 2 2 (126-60 )Total Revenue TR2 = P Q2 TR2 = P. a TR2 36.77 TR2 = 4005 2 2 ca 9 C = Į (92) 2 A) 2 - 1 / 2 (405) 2 C - 9.18 c=100125 Profit

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