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 îÃ. Their preferences are represented by the following utility functions: wv = √√x²x² U S uc = √√x€r€ - 2xU Assume that smartphones are produced using only labour according to the production function ys √L. China is endowed with LC 10 units of labour and ec 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. = = =
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 îÃ. Their preferences are represented by the following utility functions: wv = √√x²x² U S uc = √√x€r€ - 2xU Assume that smartphones are produced using only labour according to the production function ys √L. China is endowed with LC 10 units of labour and ec 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. = = =
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.1P
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In this problem, we want to think about the difficulties that governments face in agreeing to significantly reduce CO2 emissions in order to control climate change.
In the context of climate change, what phenomenon does China’s utility function capture? What does this exercise tell us about the limitations of the first welfare theorem? What do you think is an important aspect of trade in reality which is not captured by this model?
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