Angela's Preferences for Grain and Free Time
In the Angela-Bruno model, Angela's preferences are defined by the value she places on two goods: the grain she consumes and her free time. These preferences are represented graphically using indifference curves. Key assumptions about her preferences are that they are convex, reflecting a diminishing marginal rate of substitution, and quasi-linear, a property that simplifies the model's analysis.
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Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.5 The rules of the game: Who gets what and why - The Economy 2.0 Microeconomics @ CORE Econ
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Bruno's Preferences in the Angela-Bruno Model
Angela's Preferences for Grain and Free Time
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An economist is studying an interaction between two people who must decide how to divide a resource they produce together. To identify which potential divisions of the resource are Pareto-efficient, what is the most critical, initial piece of information the economist must establish?
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In an economic interaction between two individuals, an outcome that maximizes the total quantity of goods produced is, by definition, a Pareto-efficient allocation.
Two individuals, Alex and Ben, are dividing a total of 10 apples and 10 bananas. Alex's satisfaction depends only on the number of apples he has (more is better), and he is indifferent to the number of bananas. Ben's satisfaction depends only on the number of bananas he has (more is better), and he is indifferent to the number of apples. Their initial allocation is: Alex has 5 apples and 5 bananas; Ben has 5 apples and 5 bananas. Match each of the following alternative allocations to its correct description relative to this initial state.
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Two city planners are evaluating a proposal to rezone a mixed-use neighborhood. Planner 1 argues the change is efficient because it will lead to a 10% increase in the total property value of the area. Planner 2 disagrees, stating that they cannot conclude the change is efficient based on this information alone. Which of the following statements best supports Planner 2's position from an economic perspective?
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Learn After
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Quasi-linear Preferences
Convexity of Angela's Preferences
An individual's preferences for a consumption good (grain) and free time are represented by indifference curves that are downward-sloping and become flatter as the amount of free time (plotted on the horizontal axis) increases. What does this specific shape imply about the trade-off this person is willing to make?
An individual's preferences for grain and free time are such that the slope of their indifference curves at any point depends only on the amount of free time at that point. True or False: This individual's willingness to sacrifice grain for an additional hour of free time is higher when they have a large amount of grain compared to when they have a small amount of grain, assuming the amount of free time is the same in both situations.
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An economic model represents an individual's choices between consuming a good (grain) and enjoying leisure (free time) using a graph. The horizontal axis represents hours of free time, and the vertical axis represents bushels of grain. Match each graphical feature to its correct economic interpretation.
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An individual's preferences for free time and grain are represented by an indifference curve. At Point A, with 16 hours of free time, the individual is willing to give up 3 bushels of grain to get one more hour of free time. At Point B, on the same indifference curve but with 20 hours of free time, they are only willing to give up 1 bushel of grain for an additional hour of free time. What does this change from Point A to Point B demonstrate about the individual's preferences?
An individual is offered payment to work extra hours. When they have 18 hours of free time left in a day, they are willing to give up one hour of free time for $20. When they only have 10 hours of free time left, they require $50 to give up one more hour of free time. Based on this information, which statement provides the most accurate economic interpretation of this individual's preferences?
An individual's preferences for a consumption good (measured on the vertical axis) and free time (measured on the horizontal axis) are such that for any given amount of free time, the slope of their indifference curve is identical, regardless of their level of consumption. If this individual receives an unexpected cash inheritance that they do not have to work for, how will this affect the amount of the consumption good they would require as compensation to willingly give up one more hour of free time?
An individual's preferences for a consumption good and free time are represented by indifference curves that are convex (bowed in toward the origin). This shape implies that the individual places a higher value on an hour of free time when they have very little free time remaining compared to when they have an abundance of it.
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The 'More is Better' Principle in Angela's Preferences
Figure 5.3a: Angela's Indifference Curves for Free Time and Grain
Constant Vertical Distance Between Vertically Shifted Indifference Curves
General Principle for Optimal Allocation: MRS = MRT