ECON 3411 Lecture Notes - Lecture 36: Demand Curve, Market Power, Marginal Revenue

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Monopoly environment: i(cid:374)gle fi(cid:396)(cid:373) se(cid:396)(cid:448)es the (cid:862)(cid:396)ele(cid:448)a(cid:374)t (cid:373)a(cid:396)ket. (cid:863, most (cid:373)o(cid:374)opolies a(cid:396)e (cid:862)local(cid:863) (cid:373)o(cid:374)opolies, the de(cid:373)a(cid:374)d fo(cid:396) the fi(cid:396)(cid:373)"s p(cid:396)oduct is the (cid:373)a(cid:396)ket de(cid:373)a(cid:374)d cu(cid:396)(cid:448)e, firm has control over price. Managing a monopoly: market power permits you to price above mc. E(cid:454)a(cid:373)ple: a mo(cid:374)opolist"s ma(cid:396)gi(cid:374)al re(cid:448)e(cid:374)ue: p=100-q mr=100-2q, when mr=0, tr is at the max mr=0 q=50, and p=50 tr=2500. Marginal revenue and elasticity: the (cid:373)o(cid:374)opolist"s (cid:373)a(cid:396)gi(cid:374)al (cid:396)e(cid:448)e(cid:374)ue fu(cid:374)ction is where is the elasticity of demand for the monopolist"s product and is the price charged. For > 0: > 0 when < 1, = 0 when = 1, < 0 when 1 < < 0. P = a + bq (note a > 0 and b < 0) Mr = a + 2bq = a + bq + bq = p + bq = p{1 + bq/p} = p{1 + 1/e} = p{(e.

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