Question 2. An economy has two goods denoted by X and Y, and two agents, Agent 1 and Agent 2. For both agents, their indirect utility functions identical: For i = 1, 2, 1 Vi (Px, Py, m) = (p₁ +p²)¯m where Pa, Py denote prices the two goods, m the income and r is a fixed parameter. 1. What is the Marshallian Demand for Good Y of each agent? Let W1 price ratio 2. Now, assume that agents have endowments of the two goods which determines their income. (2, 1) and w₂ = (1,3) be the respective endowments. Calculate the market clearing Px/Py. - 3. In an economy such as this, explain why the area under the Marshallian Demand curve is a good measure of the change in welfare resulting from the change in the price of just one good.

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Question 2. An economy has two goods denoted by X and Y, and two agents, Agent 1 and Agent
2. For both agents, their indirect utility functions identical: For i = 1, 2,
1
rm
Vi (Px, Py, m) = (p₁ + p² )¯¯ \m
where pa, py denote prices the two goods, m the income and r is a fixed parameter.
1. What is the Marshallian Demand for Good Y of each agent?
2. Now, assume that agents have endowments of the two goods which determines their income.
Let w₁ = (2, 1) and w₂ = (1,3) be the respective endowments. Calculate the market clearing
price ratio px/py.
3. In an economy such as this, explain why the area under the Marshallian Demand curve is a good
measure of the change in welfare resulting from the change in the price of just one good.
Transcribed Image Text:Question 2. An economy has two goods denoted by X and Y, and two agents, Agent 1 and Agent 2. For both agents, their indirect utility functions identical: For i = 1, 2, 1 rm Vi (Px, Py, m) = (p₁ + p² )¯¯ \m where pa, py denote prices the two goods, m the income and r is a fixed parameter. 1. What is the Marshallian Demand for Good Y of each agent? 2. Now, assume that agents have endowments of the two goods which determines their income. Let w₁ = (2, 1) and w₂ = (1,3) be the respective endowments. Calculate the market clearing price ratio px/py. 3. In an economy such as this, explain why the area under the Marshallian Demand curve is a good measure of the change in welfare resulting from the change in the price of just one good.
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