Learn Before
Convexity of Angela's Preferences
Angela's preferences are characterized as convex, a common and plausible assumption in many economic models. This property is visually represented by her indifference curves, which slope downward and become flatter when moving from left to right. This shape reflects that her Marginal Rate of Substitution (MRS) between grain and free time diminishes as she has more free time.
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CORE Econ
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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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
Imagine a person is considering different combinations of free time and bushels of grain that all provide the same level of satisfaction. When these combinations are plotted on a graph with free time on the horizontal axis and grain on the vertical axis, the resulting curve is 'bowed-in' toward the origin. At point A on the curve, the person has a lot of grain and very little free time. At point B on the curve, the person has little grain but a lot of free time. What does the 'bowed-in' shape of the curve reveal about the trade-offs this person is willing to make?
Evaluating a Trade-Off
Analyzing Consumer Trade-offs
Economic Rationale for Indifference Curve Shape
If an individual's preferences for two goods are convex, it implies that they are always willing to trade one unit of the first good for the same fixed amount of the second good to maintain the same level of satisfaction, regardless of their current consumption bundle.
Consider a graph representing a person's combinations of two goods, Good X (on the horizontal axis) and Good Y (on the vertical axis), that provide the same level of overall satisfaction. The curve connecting these combinations is bowed inward toward the origin. Match each graphical feature to the economic principle or behavior it represents.
The 'bowed-in' shape of an indifference curve, which becomes flatter as one moves from left to right, illustrates that a person's willingness to trade one good for another changes depending on their current combination of goods. This phenomenon, where the trade-off a person is willing to make decreases as they acquire more of a good, is known as a diminishing ___________.
Evaluating Preferred Consumption Bundles
A person's preferences for combinations of free time and grain can be represented by a single 'bowed-in' curve, where every point on the curve provides the same level of satisfaction. Arrange the following descriptions of the person's willingness to trade in the correct sequence one would encounter when moving along the curve from a point with very little free time to a point with a lot of free time.
A common assumption in economics is that a person's satisfaction curves for two goods are 'bowed-in' towards the origin of a graph. This shape reflects a preference for balanced bundles over extreme ones. Imagine a student who has many textbooks but very little free time. Based on this assumption, what can we infer about their willingness to trade textbooks for free time?