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Modeling Angela's Preferences Using the Same Method as Karim's
The method for representing Angela's preferences for grain and free time is analogous to the approach used for Karim in Unit 3. Specifically, her preferences are modeled graphically using indifference curves, which map out combinations of goods that provide her with the same level of satisfaction.
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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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Angela's Indifference on Indifference Curve IC3
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.
Explaining Preferences for Goods and Leisure
Analyzing a Farmer's Choices
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.
Interpreting Preferences and Trade-offs
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.
Modeling Angela's Preferences Using the Same Method as Karim's
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
Learn After
Convexity of Angela's and Karim's Preferences
A research study observed the behavior of Brazilian fishermen in a controlled game designed to measure cooperation. The study found a strong positive correlation between the level of cooperation a fisherman showed in the game and how sustainably they fished in their actual, day-to-day work. What is the most significant implication of this finding for the field of economics?
Imagine a graph representing an individual's preferences for two goods: 'daily free time' on the horizontal axis and 'bushels of grain' on the vertical axis. Point A and Point B both lie on the same downward-sloping indifference curve. Point C is located on a different indifference curve, positioned above and to the right of the curve containing points A and B. Based on the standard model of preferences, which of the following statements must be true?
Inferring Preferences from Behavior
Consider a graph that models an individual's preferences for two goods: 'Daily Free Time' on the horizontal axis and 'Grain Consumption' on the vertical axis. The graph contains two standard, downward-sloping, convex indifference curves, IC₁ and IC₂.
- Points A and B are both located on the lower indifference curve, IC₁.
- Point C is located on the higher indifference curve, IC₂.
- Point D is located in the area below and to the left of IC₁.
Based on this model, which of the following statements is a correct interpretation of the individual's preferences?
An individual's preferences for 'weekly consumption' (vertical axis) and 'hours of free time' (horizontal axis) are represented by a standard, downward-sloping, convex indifference curve. Point A on this curve corresponds to a high level of consumption and a low amount of free time. Point B, on the same curve, corresponds to a low level of consumption and a high amount of free time. Which statement best describes the individual's willingness to trade consumption for free time?
Two individuals, Alex and Ben, both derive satisfaction from two goods: 'daily consumption' (plotted on the vertical axis) and 'hours of free time' (plotted on the horizontal axis). Their preferences are represented by standard, downward-sloping, convex indifference curves. At any specific combination of consumption and free time (e.g., at the point representing $50 of consumption and 18 hours of free time), Alex's indifference curve is consistently steeper than Ben's. What does this difference in steepness imply about their preferences?
Comparing Preferences Graphically
Match each graphical feature of an indifference curve map, which plots combinations of two goods, with its correct economic interpretation.
Evaluating a Preference Model
Graphical Representation of Differing Preferences
Consider a graph that models an individual's preferences for two goods: 'Daily Free Time' on the horizontal axis and 'Grain Consumption' on the vertical axis. The graph contains two standard, downward-sloping, convex indifference curves, IC₁ and IC₂.
- Points A and B are both located on the lower indifference curve, IC₁.
- Point C is located on the higher indifference curve, IC₂.
- Point D is located in the area below and to the left of IC₁.
Based on this model, which of the following statements is a correct interpretation of the individual's preferences?