Problem 2. (SW 12.8.) Consider a product market with a supply function Q₁ =B₁ + B₁P₁ + už,a demand function Q 7o+u, and an equilibrium condition Q = Q, where u and u aremutually independent i.i.d. random variables, both with a mean of 0.=(a) Show that P; and us are correlated.(b) Show that the OLS estimator of 3₁ is inconsistent. Hint: The standard strategy for showinginconsistency: first, argue that ₁ will Var(P)converge in large samples to Co(P), second, useOLScalculations to show that Cov(Q³,P) # B₁.Var(P)(c) How would you estimate Bo, B₁, and %0?

Given information Qd=γ0+μdiQs=β0+β1+Pi+μsi

Problem 2. (SW 12.8.) Consider a product market with a supply function Q₁ = B₁ + B₁P₁ + už, a demand function Q = % +u, and an equilibrium condition Q₁ = Qi, where u and u are mutually independent i.i.d. random variables, both with a mean of 0. (a) Show that P; and uș are correlated. (b) Show that the OLS estimator of ₁ is inconsistent. Hint: The standard strategy for showing inconsistency: first, argue that BLS will converge in large samples to will converge in large samples to Cou(Q), second, use calculations to show that Cov(Q²,P) # B₁. Var Var(P) (c) How would you estimate Bo, B₁, and ?

Problem 2. (SW 12.8.) Consider a product market with a supply function Q₁ = B₁ + B₁P₁ + už, a demand function Q = % +u, and an equilibrium condition Q₁ = Qi, where u and u are mutually independent i.i.d. random variables, both with a mean of 0. (a) Show that P; and uș are correlated. (b) Show that the OLS estimator of ₁ is inconsistent. Hint: The standard strategy for showing inconsistency: first, argue that BLS will converge in large samples to will converge in large samples to Cou(Q), second, use calculations to show that Cov(Q²,P) # B₁. Var Var(P) (c) How would you estimate Bo, B₁, and ?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

ChapterB: Differential Calculus Techniques In Management

Section: Chapter Questions

Problem 8E

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