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?