2. Consider a product market with a supply function Q = Bo + B1P + u, a demand function Q = Yo + u, and a market equilibrium condition Q = Q', where u and u are mutually independent i.i.d. random variables, both with a mean of zero. You have a data set of (Pi, Qi) in equilibrium. a. Show that P; and u are correlated. b. Show that the OLS estimator for 31 is inconsistent.

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphs To Economics
Problem 2SQP
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2. Consider a product market with a supply function Q = Bo + Bị Pi + u, a demand
function Q = Yo + u, and a market equilibrium condition Q = Q, where u and u
are mutually independent i.i.d. random variables, both with a mean of zero. You have
a data set of (P, Qi) in equilibrium.
a. Show that P; and u are correlated.
b. Show that the OLS estimator for 31 is inconsistent.
Transcribed Image Text:2. Consider a product market with a supply function Q = Bo + Bị Pi + u, a demand function Q = Yo + u, and a market equilibrium condition Q = Q, where u and u are mutually independent i.i.d. random variables, both with a mean of zero. You have a data set of (P, Qi) in equilibrium. a. Show that P; and u are correlated. b. Show that the OLS estimator for 31 is inconsistent.
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