Starting from the earliest, arrange the following concepts in terms of their development in Demand Theory:
(i) Revealed preference
(ii) Neumann and Morgenstern utility theory
(iii) Ordinal utility
(iv) Cardinal utility

Question

Starting from the earliest, arrange the following concepts in terms of their development in Demand Theory: 
(i) Revealed preference 
(ii) Neumann and Morgenstern utility theory 
(iii) Ordinal utility 
(iv) Cardinal utility

Accepted Answer

The correct option is 4:

The correct chronological order of development in Demand Theory is **(iv) Cardinal utility, (iii) Ordinal utility, (i) Revealed preference, and (ii) Neumann and Morgenstern utility theory**. The earliest approach, **Cardinal Utility (iv)**, was pioneered by early economists like Gossen, Walras, and Marshall in the late 19th and early 20th centuries. It proposed that utility could be measured numerically in units (utils), making it quantifiable and interpersonally comparable. This theory formed the basis of the Law of Diminishing Marginal Utility. Next came the **Ordinal Utility (iii)** approach, developed by economists like Pareto, Hicks, and Allen, starting around the 1930s. It revolutionized demand theory by arguing that while consumers cannot assign numerical values to utility, they can rank or order their preferences (e.g., bundle A is preferred over bundle B). This approach is based on indifference curves and solved many logical shortcomings of the cardinal approach. Following this, **Revealed Preference (i)** theory was put forth by Paul Samuelson in 1938. This theory abandoned the concept of utility entirely, focusing instead on observed consumer behavior: if a consumer chooses bundle A when bundle B is affordable, then A is "revealed preferred" to B. Finally, the **Neumann and Morgenstern Utility Theory (ii)**, published in 1944 in *Theory of Games and Economic Behavior*, is the latest development here. While it deals with utility, it is distinct, as it specifically addresses decision-making under conditions of risk and uncertainty, providing a framework for expected utility.

The incorrect option is 1: This sequence (iii, i, iv, ii) incorrectly places Ordinal utility before Cardinal utility, which is historically false. Cardinal utility was the original framework before being replaced by the ordinal approach.

The incorrect option is 2: This sequence (iv, iii, ii, i) places Neumann and Morgenstern utility theory (ii) before Revealed Preference theory (i). Revealed preference was introduced in 1938, while the Neumann and Morgenstern theory was published later in 1944.

The incorrect option is 3: This sequence (i, ii, iii, iv) proposes a reverse order of development, starting with the most recent (Revealed Preference) and ending with the earliest (Cardinal Utility), making it chronologically unsound.