Consider the preferences represented by the following indifference curves. These preferences are (check all that apply - if there is not enough information to confirm that one of these applies, leave it unchecked).

Question

BlackTom AI · Accepted Answer

Indifference curves drawn are upward‑sloping, straight and parallel. Key facts: monotonicity means "more of at least one good (and not less of the other) never makes you worse off" (higher bundles weakly preferred); strong monotonicity requires that any bundle with strictly more of both goods is strictly preferred; convex preferences mean the upper contour sets are convex (equivalently indifference curves are bowed inward or linear in the case of perfect substitutes); strict convexity rules out flat or linear indifference curves (any strict mixture of two distinct bundles is strictly preferred).

Step‑by‑step reasoning:
1. The arrow in the picture points toward the indifference curves that are higher (the picture labels that direction as higher utility). That indicates moving to the region above those lines yields higher utility for the consumer. Thus getting more of the relevant good(s) in that direction increases utility — this is the content of monotonicity. Hence the preferences are monotone.
2. Because the indifference curves slope upward (positive slope), it is possible to move along a single indifference curve in a north‑east direction and reach a bundle with strictly more of both goods but lying on the same indifference curve. Concretely, pick two points A and B on the same positively sloped line with B having both coordinates larger than A; by construction they are indifferent. That violates strong monotonicity (which would require B strictly preferred to A whenever both goods are strictly larger). So strong monotonicity does not hold.
3. The drawing shows straight parallel lines, which often corresponds to perfect substitutes (linear ICs). Perfect‑substitute preferences are convex but not strictly convex. However, the question requests checking only those properties we can be sure of from the figure. From three isolated lines alone we cannot conclusively rule out other possible global shapes or definitions that would change convexity status, so convexity/strict convexity are not asserted here.

Why other options are incorrect:
- Strongly monotone: false because you can find two bundles with strictly more of both goods that are indifferent (same positively‑sloped line).
- Convex / Strictly convex: not chosen because the figure alone is insufficient to confirm strict convexity, and while straight lines suggest perfect substitutes (convex but not strictly convex), the problem asks only for properties we can be sure of; strictly convex is definitely false.

Conclusion: The only property we can confidently confirm from the diagram is monotone, which matches the provided answer (a. Monotone).

Consider the preferences represented by the following indifference curves. These preferences are (check all that apply - if there is not enough information to confirm that one of these applies, leave it unchecked).多项选择题

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