What is China's budget constraint? 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 p, and the wage w.

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What is China's budget constraint?
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 på and the wage w.
Transcribed Image Text:What is China's budget constraint? 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 på 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
î, and rice îr. Their preferences are represented by the following utility functions:
UU =
uc
=
V S r
√xcx² – 2x4
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 ef = 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 î, and rice îr. Their preferences are represented by the following utility functions: UU = uc = V S r √xcx² – 2x4 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 ef = 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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