Income Consumption Curve
1. Problem Statement:
Graph the Income Consumption Curve (ICC) for three cases and decompose the Price Effect for a normal good.
2. Income Consumption Curve (ICC) Cases:
(i) Both X and Y are Normal Goods:
- Point A is at lower-left.
- Point B is up and right of A.
- ICC is an upward-sloping smooth curve connecting A and B.
- Explanation: "As income increases, consumption of both goods increases. Therefore, the ICC is an upward-sloping curve from the origin."
(ii) Good X Normal, Good Y Inferior:
- Point A.
- Point B is right of A (more X) but lower (less Y).
- ICC slopes upward but bends towards X-axis.
- Explanation: "As income increases, consumption of the normal good (X) rises, but consumption of the inferior good (Y) falls. The ICC therefore slopes upward but is biased towards the X-axis."
(iii) Good X Inferior, Good Y Normal:
- Point A.
- Point B is above A (more Y) but left (less X).
- ICC slopes upward but bends towards Y-axis.
- Explanation: "As income increases, consumption of the normal good (Y) rises, but consumption of the inferior good (X) falls. The ICC therefore slopes upward but is biased towards the Y-axis."
3. Decomposing the Price Effect for a Normal Good:
- Initial budget line AB tangent to IC₁ at A with quantity Xₐ.
- Price of X falls, budget line rotates outward to AB₁ tangent to IC₂ at C with quantity X꜀.
- Draw dashed budget line A'B' parallel to AB₁ tangent to IC₁ at B with quantity Xᵦ.
- Arrows:
- A→C labeled "PRICE EFFECT"
- A→B labeled "SUBSTITUTION EFFECT"
- B→C labeled "INCOME EFFECT"
- Explanation: "The total Price Effect (A→C) is decomposed into the Substitution Effect (A→B), which always leads to more consumption of the cheaper good, and the Income Effect (B→C), which for a normal good leads to a further increase in consumption."