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Starting with the very basics, ordinal utility in economics refers to the way we rank our preferences for goods and services. Imagine you're at a dessert buffet with a variety of sweets in front of you. You know which you'd like to try first, second, and last, but you can't exactly quantify how much more you prefer one over the other. This ranking system is what ordinal utility is all about: it tells us the order of consumer preferences without putting a numerical value on how much more one is preferred to another.

For example, if you prefer ice cream over cake, and cake over a fruit salad, ordinal utility captures that preference but doesn't tell you by how much your enjoyment of ice cream exceeds that of the fruit salad. This concept is incredibly relevant in consumer theory, helping to explain why we choose one product over another, facilitating the understanding of market behavior without the need for exact measurements.

Cardinal utility takes it a step further, aiming to measure satisfaction exactly. Unlike ordinal utility, which uses a ranking system, cardinal utility wants to quantify preferences. This approach assigns a specific numerical value to the level of satisfaction received from consuming goods or services, measured in units known as 'utils'. Think of it as attaching a score to your enjoyment. If eating a slice of pizza brings you 50 utils and a burrito brings you 40 utils, we would say that the pizza brings you more utility.

The cardinal approach, although less used today because of its oversimplification of consumer preferences, helps in providing a clearer framework for economic analysis where measuring exact utility is needed, like in cost-benefit analysis or utility theory. However, the subjectivity involved in assigning specific numbers to personal satisfaction is why many economists now prefer the ordinal approach.

Consumer theory is a cornerstone of microeconomics that examines how people decide to spend their money based on their preferences, incomes, and the prices of goods and services. It uses both the concepts of ordinal and cardinal utility to understand consumer behavior. The theory posits that consumers aim to maximize their utility, meaning they want to get the most satisfaction possible from their purchases.

In consumer theory, individuals are considered to be rational actors, constantly making choices that provide them with the greatest benefit or satisfaction. To better represent preferences and the choices that consumers face, economic models often employ the use of indifference curves. These curves illustrate combinations of goods between which a consumer is indifferent, further detailing how decisions are made when faced with a budget constraint.

Indifference curves visually represent consumer preferences and are an integral part of consumer theory in economics. They are plot lines on a graph that show different combinations of goods or services between which a consumer is indifferent. Essentially, it means that the consumer gets the same level of utility or satisfaction from any point along the same curve.

The curves slope downwards to the right because as you consume more of one good, you need less of another to maintain the same level of overall satisfaction. These curves do not cross because that would imply inconsistent preferences, which defies the rational behavior assumed in consumer theory. Understanding indifference curves helps economists and students grasp how a combination of goods and budget constraints can affect consumer choices, ultimately leading to the optimal consumption point.