Economics Government spending in one-period closed-economy model Assume a one-period closed-economy model with Consumer, Firm and Government. Consumer's utility maxi- mization problem over consumption c and leisurel is given as: max U (c,1) subject to budget constraint = wh - 1] + -T And firm's profit maximization problem is given as max T = zN" – we where N = h - 1. Government runs a balanced budget G=T Q1 Characterize graphically the competitive equilibrium of this economy. In particular draw the indifference curve, and production possibilities frontier onto {c,l}- space. Show where the equilibrium is. Q2 Characterize graphically the equilibrium effects of a positive government spending shock (an increase in G) Q3 Assume a natural logarithmic utility function U(c,l) = In c +a lnl where a > 0. Solve the equilibrium of this economy analytically. What is the response of c to an increase in G? (hint: take partial derivative)

Microeconomic Theory
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Chapter4: Utility Maximization And Choice
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Economics
Government spending in one-period closed-economy model
Assume a one-period closed-economy model with Consumer, Firm and Government. Consumer's utility maxi-
mization problem over consumption c and leisurel is given as:
max U(c,l)
subject to budget constraint
= w{h - 1] + –T
And firm's profit maximization problem is given as
max T = zN" – we
where N = h - 1. Government runs a balanced budget G=T
Q1 Characterize graphically the competitive equilibrium of this economy. In particular draw the indifference
curve, and production possibilities frontier onto {c,l}- space. Show where the equilibrium is.
Q2 Characterize graphically the equilibrium effects of a positive government spending shock (an increase in
G)
Q3 Assume a natural logarithmic utility function
U(c,l) = In c+a lnl
where a > 0. Solve the equilibrium of this economy analytically. What is the response of c to an increase
in G? (hint: take partial derivative)
Transcribed Image Text:Economics Government spending in one-period closed-economy model Assume a one-period closed-economy model with Consumer, Firm and Government. Consumer's utility maxi- mization problem over consumption c and leisurel is given as: max U(c,l) subject to budget constraint = w{h - 1] + –T And firm's profit maximization problem is given as max T = zN" – we where N = h - 1. Government runs a balanced budget G=T Q1 Characterize graphically the competitive equilibrium of this economy. In particular draw the indifference curve, and production possibilities frontier onto {c,l}- space. Show where the equilibrium is. Q2 Characterize graphically the equilibrium effects of a positive government spending shock (an increase in G) Q3 Assume a natural logarithmic utility function U(c,l) = In c+a lnl where a > 0. Solve the equilibrium of this economy analytically. What is the response of c to an increase in G? (hint: take partial derivative)
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