d. In addition to k = 0, now assume Po = 0 and determine the price in periods 1, 2, 3 and 4. Plot the time path of the price for the first four periods.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.13P
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Question
D2)
Consider the following market model:
Q = k
Q; = -3+6P,
P,1 = P, – 0.3(Q; –Qʻ )
where P is the price, Q is the quantity demanded, Qº is the quantity supplied, k is a fixed
number and t is time period.
a. Set up a difference equation in terms of market price P and present its general
solution
b. What restrictions should be imposed on k to make solution to this model
economically meaningful?
c. Now assume k
d. In addition to k = 0, now assume Po
and 4. Plot the time path of the price for the first four periods.
O and draw a phase diagram.
O and determine the price in periods 1, 2, 3
Transcribed Image Text:Consider the following market model: Q = k Q; = -3+6P, P,1 = P, – 0.3(Q; –Qʻ ) where P is the price, Q is the quantity demanded, Qº is the quantity supplied, k is a fixed number and t is time period. a. Set up a difference equation in terms of market price P and present its general solution b. What restrictions should be imposed on k to make solution to this model economically meaningful? c. Now assume k d. In addition to k = 0, now assume Po and 4. Plot the time path of the price for the first four periods. O and draw a phase diagram. O and determine the price in periods 1, 2, 3
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