Problem 5.1. The inverse market demand for printer paper is given by P = 400 - 2Q. There are two who compete to produce this paper, each with a marginal cost of production equal to c = 40 over a range of output (ie, assume constant marginal cost). The two firms compete in quantities, in other w they each simultaneously choose a quantity to produce (Cournot competition). Derive the Cournot-Nash equilibrium of this game. Please write final answers in the boxes, showing wo blank areas. (a) The reaction function for each firm. 91 (92) = 92 (91) (b) Optimal output q for each firm. 92 = = P = 92 = (c) Market price (from demand curve).

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Problem 5.1. The inverse market demand for printer paper is given by P = 400 – 2Q. There are two firms
who compete to produce this paper, each with a marginal cost of production equal to c = 40 over a large
range of output (ie, assume constant marginal cost). The two firms compete in quantities, in other words
they each simultaneously choose a quantity to produce (Cournot competition).
Derive the Cournot-Nash equilibrium of this game. Please write final answers in the boxes, showing work in
blank areas.
(a) The reaction function for each firm.
91 (92):
92 (91)
(b) Optimal output q for each firm.
92
=
р
=
=
π1 =
(c) Market price (from demand curve).
(d) Firm profits.
92
=
π2 =
Transcribed Image Text:Problem 5.1. The inverse market demand for printer paper is given by P = 400 – 2Q. There are two firms who compete to produce this paper, each with a marginal cost of production equal to c = 40 over a large range of output (ie, assume constant marginal cost). The two firms compete in quantities, in other words they each simultaneously choose a quantity to produce (Cournot competition). Derive the Cournot-Nash equilibrium of this game. Please write final answers in the boxes, showing work in blank areas. (a) The reaction function for each firm. 91 (92): 92 (91) (b) Optimal output q for each firm. 92 = р = = π1 = (c) Market price (from demand curve). (d) Firm profits. 92 = π2 =
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