An economy has two agents, A and B, and two goods x1 and x2. The utility functions and endowments of the agents are given by: UA(4, a) = (rf)#(12) (ef, ef) (1, 2) || B eB (eP, ) (2, 1) %3D Suppose A and B trade on a Walrasian market as perfect competitors. Let the price of good 2 be fixed at 1, and the price of good 1 be p. (a) Find A's demand for good 1 as a function of p.e (b) Find B's demand for good 1 as a function of p. (c) Find the equilibrium price of good 1. Call this p*. (d) What are the net trades that occur between the two agents at these prices2k
An economy has two agents, A and B, and two goods x1 and x2. The utility functions and endowments of the agents are given by: UA(4, a) = (rf)#(12) (ef, ef) (1, 2) || B eB (eP, ) (2, 1) %3D Suppose A and B trade on a Walrasian market as perfect competitors. Let the price of good 2 be fixed at 1, and the price of good 1 be p. (a) Find A's demand for good 1 as a function of p.e (b) Find B's demand for good 1 as a function of p. (c) Find the equilibrium price of good 1. Call this p*. (d) What are the net trades that occur between the two agents at these prices2k
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![An economy has two agents, A and B, and two goods x1 and x2. The utility functions and endowments
of the agents are given by:
(ef, ef)
(1, 2)
, x2
eB
(ef, )
= (2, 1)
Suppose A and B trade on a Walrasian market as perfect competitors. Let the price of good 2 be
fixed at 1, and the price of good 1 be p.
(a) Find A's demand for good 1 as a function of
p.
(b) Find B's demand for good 1 as a function of p.
(c) Find the equilibrium price of good 1. Call this p*.
(d) What are the net trades that occur between the two agents at these prices?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8302cae-b100-48c6-8b55-63738f46d9ef%2F8f797000-cbdd-462e-bc7f-44b606098dae%2Frg6t00b_processed.png&w=3840&q=75)
Transcribed Image Text:An economy has two agents, A and B, and two goods x1 and x2. The utility functions and endowments
of the agents are given by:
(ef, ef)
(1, 2)
, x2
eB
(ef, )
= (2, 1)
Suppose A and B trade on a Walrasian market as perfect competitors. Let the price of good 2 be
fixed at 1, and the price of good 1 be p.
(a) Find A's demand for good 1 as a function of
p.
(b) Find B's demand for good 1 as a function of p.
(c) Find the equilibrium price of good 1. Call this p*.
(d) What are the net trades that occur between the two agents at these prices?
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