We first want to understand why the issue of climate change requires government inter- vention and cannot be addressed by market mechanisms. Consider two countries, the US (U) and China (C) who enjoy two goods, smartphones T and rice xr. Their preferences are represented by the following utility functions: ԱՄ = ava uc = √√√xx-2x Assume that smartphones are produced using only labour according to the production function ys = √Ls. China is endowed with LC = 10 units of labour and e = 10 units of rice (which doesn't need to be manufactured). The US is endowed with no units of labour or rice but owns the smartphone producer and is entitled to 100% of its profits.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.3P
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We begin by solving the consumer’s problems:

(a) What is China’s budget constraint?

(b) Describe the maximisation problem of China, set up the Lagrangian, and
derive China’s optimal consumption of smartphones and rice as a function of
the price of smartphones ps, the price of rice pr and the wage w. 

We first want to understand why the issue of climate change requires government inter-
vention and cannot be addressed by market mechanisms.
Consider two countries, the US (U) and China (C) who enjoy two goods, smartphones
Is and rice x,. Their preferences are represented by the following utility functions:
ay a
xx-2x
uu =
uc =
Assume that smartphones are produced using only labour according to the production
function ys = √Ls. China is endowed with LC = 10 units of labour and e = 10 units
of rice (which doesn't need to be manufactured). The US is endowed with no units of
labour or rice but owns the smartphone producer and is entitled to 100% of its profits.
Transcribed Image Text:We first want to understand why the issue of climate change requires government inter- vention and cannot be addressed by market mechanisms. Consider two countries, the US (U) and China (C) who enjoy two goods, smartphones Is and rice x,. Their preferences are represented by the following utility functions: ay a xx-2x uu = uc = Assume that smartphones are produced using only labour according to the production function ys = √Ls. China is endowed with LC = 10 units of labour and e = 10 units of rice (which doesn't need to be manufactured). The US is endowed with no units of labour or rice but owns the smartphone producer and is entitled to 100% of its profits.
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