Consider a two-person general equilibrium with two economic agents A and B. Agent A's utility function is: U^(zf, ) = log(r{) + log(x4') %3D Agent B's utility function is: U (zf,) = 2 log af + %3D The endowments are: {(w, w), (w", w)} = {(1,2), (1,2)} %3D Denote the relative price by p >0. Part a Find the demands of Good 1 of Person A and B given an arbitrary relative price p. ** Part b .. Using the market clearing condition for Good 1, find the competitive equilibrium price p. Part c Solve for the contract curve in terms of (r, x).

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider a two-person general equilibrium with two economic agents A and B.
Agent A's utility function is:
U^(r*, «$) = log(x4)+ log(x")
Agent B's utility function is:
U*(xf, r}) = 2 log xf + =
The endowments are:
{(w, w), (wf,w)} = {(1,2), (1,2)}
Denote the relative price by p > 0.
** Part a
Find the demands of Good 1 of Person A and B given an arbitrary relative price p.
** Part b
Using the market clearing condition for Good 1, find the competitive equilibrium price p.
** Part c
Solve for the contract curve in terms of (x, x).
Transcribed Image Text:Other bookmarks E Reading list Consider a two-person general equilibrium with two economic agents A and B. Agent A's utility function is: U^(r*, «$) = log(x4)+ log(x") Agent B's utility function is: U*(xf, r}) = 2 log xf + = The endowments are: {(w, w), (wf,w)} = {(1,2), (1,2)} Denote the relative price by p > 0. ** Part a Find the demands of Good 1 of Person A and B given an arbitrary relative price p. ** Part b Using the market clearing condition for Good 1, find the competitive equilibrium price p. ** Part c Solve for the contract curve in terms of (x, x).
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