In indifference curve analysis, the principle of 'more is better' implies that higher indifference curves represent higher levels of utility. As a consumer moves away from the origin to a higher curve, they are consuming a larger quantity of goods, which provides greater satisfaction. Therefore, any combination on a higher indifference curve is strictly preferred to any combination on a lower indifference curve.

Ordinal utility, specifically through indifference curve analysis, is considered superior because it allows for the Slutsky or Hicksian decomposition of the price effect into income and substitution effects. This provides a deeper understanding of consumer behavior that cardinal utility cannot easily achieve.

Samuelson's revealed preference theory was specifically designed to be behaviorist and avoid the psychological assumptions of utility maximization. While transitivity, consistency, and the preference for more goods are core assumptions, the explicit assumption of 'rational utility maximization' is what Samuelson sought to replace with observable choices.

Utility refers to the total satisfaction or benefit derived from consuming a good or service. The concept was popularized by utilitarian philosophers like Jeremy Bentham, who viewed utility as a metric for pleasure. In economics, it quantifies the preference of consumers for different bundles of goods based on the satisfaction they provide.

The area under the demand curve represents the total willingness to pay for a given quantity of a good, which corresponds to the total utility derived from consuming that quantity. Since the demand curve reflects the marginal utility of each additional unit, the summation (integral) of these marginal utilities up to a specific quantity equals the total utility.

Standard consumer equilibrium theory relies on several assumptions, including transitivity of preferences, consistency (completeness), and the goal of maximizing utility (optimum satisfaction). Since all listed options are standard assumptions, 'None of these' is the correct choice as it implies all are indeed assumptions.

Consumer equilibrium occurs where the consumer maximizes utility given their budget constraint. Graphically, this is the point where the budget line is tangent to the highest attainable indifference curve. At this point of tangency, the slope of the budget line (price ratio) is exactly equal to the slope of the indifference curve (marginal rate of substitution).

The cardinal approach is associated with marginal utility (Marshall), the ordinal approach with revealed preference theory (Samuelson), the Hicks-Allen approach with indifference curves, and consumer's surplus is a concept famously developed by Alfred Marshall.

An L-shaped indifference curve represents perfect complements, meaning the goods must be consumed in fixed proportions to provide utility. For example, if a consumer needs exactly one left shoe for every right shoe, the indifference curve will have a corner at the optimal ratio. Any additional unit of one good without the other provides no additional utility, resulting in the characteristic L-shape.

A Giffen good is a rare type of inferior good where a price increase leads to an increase in quantity demanded. This happens because the negative income effect (the reduction in purchasing power) is so strong that it forces the consumer to buy more of the cheap staple good, overriding the substitution effect.