DERIVATION OF INDIFFERENCE CURVE FROM REVEALED PREFERENCE THEORY FULL AND DETAILED EXPLANATION.

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Revealed preference theory, pioneered by economist Paul Samuelson, is a method of analyzing choices made by individuals, mostly used for comparing the influence of policies on consumer behavior. Revealed preference models assume that the preferences of consumers can be revealed by their purchasing habits.

Revealed preference theory arose because existing theories of consumer demand were based on a diminishing marginal rate of substitution (MRS). This diminishing MRS relied on the assumption that consumers make consumption decisions to maximise their utility. While utility maximisation was not a controversial assumption, the underlying utility functions could not be measured with great certainty. Revealed preference theory was a means to reconcile demand theory by defining utility functions by observing behaviour.

Therefore revealed preference is a way to infer the preferences of individuals given the observed choices. It contrasts with attempts to directly measure preferences or utility, for example through stated preferences. Taking economics to be an empirical subject, there is the issue that one cannot observe preferences. In other words, according to advocates of revealed preference theory "It is not what you say, it is what you do that reveals what you want."