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Exercises · Q3

Q.Distinguish between the cardinal and ordinal approaches to utility analysis.

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✓ Free question

Marshall's cardinal utility approach assumes that the satisfaction a consumer derives from a commodity can be expressed as a precise numerical quantity, measured in imaginary units called utils, in the same way physical quantities like weight or length are measured. This allows utility to be added, subtracted and compared arithmetically across goods, and underlies the Law of Diminishing Marginal Utility and the Law of Equi-Marginal Utility.

Hicks and Allen's ordinal utility approach, developed later, questioned whether satisfaction can really be measured in exact numbers, since there is no real-world unit of satisfaction. Instead, it assumes only that a consumer can rank different combinations of goods — saying combination A is preferred to B, or that A and B give equal satisfaction — without needing to say by how much. This weaker, more realistic assumption underlies indifference curve analysis.

BasisCardinal ApproachOrdinal Approach
ProponentsAlfred MarshallJ. R. Hicks, R. G. D. Allen
MeasurementUtility measured in exact numbers (utils)Utility only ranked/ordered, not numbered
Tool of analysisMarginal utility, total utilityIndifference curves, budget line
Equilibrium conditionMUx/Px = MUy/PyMRSxy = Px/Py
RealismLess realistic — satisfaction cannot really be countedMore realistic — people can say what they prefer without a number
✓Final answer

The cardinal approach (Marshall) measures utility numerically in utils and gives the equi-marginal condition MUx/Px = MUy/Py; the ordinal approach (Hicks-Allen) only ranks combinations of goods by preference and gives the tangency condition MRSxy = Px/Py, without ever assigning a number to satisfaction.

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