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ECON_104B_001_25S Chapter 16 Practice Problems -- Multiple-Choice

Single choice

Identify the truthfulness of the following statements. I. The contract curve must contain the initial endowment point. II. All points on the contract curve are Pareto efficient.

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The question asks us to judge the truth of two statements about the contract curve and Pareto efficiency. Statement I: 'The contract curve must contain the initial endowment point.' In general, the contract curve consists of all allocations that are Pareto efficient, i.e., where the two agents’ marginal rates of substitution......Login to view full explanation

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Question textIn an exchange economy, there are two people, A and B, and two goods, [math: x1]x_1 and [math: x2]x_2. Their respective utility functions and endowments are [math: uA(x1A,x2A)=min{2x1A,3x2A}]u^A(x_1^A,x_2^A) = \min\{2 x_1^A, 3 x_2^A\}[math: uB(x1B,x2B)=x1B⋅x2B]u^B(x_1^B,x_2^B) = x_1^B \cdot x_2^B[math: ωA=(6,10)andωB=(5,1)]\omega^A = (6, 10) \quad\text{and}\quad \omega^B = (5, 1) The minimum and maximum possible amounts of [math: x2A]x_2^A on the contract curve are (enter up to two decimal places if necessary): Minimum [math: x2A]x_2^A = Answer 1 Question 2[input] Maximum [math: x2A]x_2^A = Answer 2 Question 2[input] --- The minimum and maximum possible amounts of [math: x1A]x_1^A on the contract curve are (enter up to two decimal places if necessary): Minimum [math: x1A]x_1^A = Answer 3 Question 2[input] Maximum [math: x1A]x_1^A = Answer 4 Question 2[input]

The input contract curve represents:

If each of the two players represented in an Edgeworth box has Cobb-Douglas indifference curves, then the contract curve will be

In an Edgeworth box, apples are measured along the horizontal axes, and oranges are measured along the vertical axes. Player 1 is in the lower left-hand corner; player 2 is in the upper right-hand corner. Player 1 likes apples but gets no utility from the consumption of oranges. Player 2 likes oranges but gets no utility from the consumption of apples. In the initial endowment, Player 1 has 5 apples and 4 oranges. Player 2 also has 5 apples and 4 oranges. What is the contract curve?

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