3 MRS conditions for Cobb Douglas, Perfect Complements and Perfect Substitutes

In the following videos, we try to find MRS for several utility functions, say, cobb douglas, perfect complements, perfect substitutes. MRS calculates the rate at which one good is substituted for another, keeping utility constant. MRS for Cobb Douglas changes at every point along an indifference curve. MRS for perfect complements is same along a vertical or horizontal strip, while it is not defined at the kink. In case of perfect substitutes, MRS is same along the entire indifference curve.

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4 questions about Normal goods,Inferior goods and Giffen goods

In following videos we define what are normal and inferior goods. As income increases, people shift away from inferior goods, while normal goods are those that have direct relation between income and quantity demanded. We also show how to derive Income offer curve and Engel curve for Normal and Inferior goods.

In the other video, we discuss giffen goods, which are exception to the law of demand.

Let us explore these concepts in detail in the following videos.

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4 things you must know about the shape of different indifference curves

Here, we draw indifference curves of several utility functions. Well, our motivation is to draw them, picking up points and convincing ourselves, that yes, this is indeed the shape of an indifference curve.

We know it well, that, along an indifference curve, utility is constant, so, we choose any arbitrary value of a utility and then pick points of x and y, which, according to a given utility function, results in the same utility (as our choosen arbitrary utility)

Let us do this exercise for our basic preferences, say, perfect complements, perfect substitutes, max utility function and cobb douglas Continue reading

2 concepts related to Marginal Utility

We will discuss two concepts related to marginal utility. Firstly, if you are given any utility function, how do you derive marginal utility of a commodity from it. Secondly, how can you derive marginal rates of substitution from marginal utilities. These concepts will help you in understanding theoretical background related to these two important basic concepts and then you will be able to apply it to any specific utility function. Continue reading

6 concepts related to budget line

In the following videos, we look at some basic concepts related to Budget line. In the first video, we distinguish between budget set and budget line and provide an economic intuition for slope of the budget line.

Then we try to look how budget line shifts if price of one of the commodity changes or if income of the consumer changes or there is a tax or subsidy on any one commodity or there is a rationing of any one product. These applications help us to understand how budget line shifts or rotates in different scenarios.  Continue reading

5 Basic questions of Introductory Consumer Theory

In the following videos we try look at five most basic questions of introductory consumer theory. We try to answer, when is the consumer rational? What are the different axioms which consumer preferences should satisfy for preferences to be rational?

Then, we look at what is utility? Can utility be represented by a number or it is only rank-based (ordinal)? We find that utility is ordinal. Continue reading

5 Mathematical Derivation of Demand Curves of Cobb Douglas, Perfect Complements, Perfect Substitutes, Quasi-linear and max utility functions

In the following videos we show how to derive marshallian demand vector of the form x*(p,m) and y*(p,m)

Budget equation is m=p1x + p2y

We have several utility functions. Our motive is to derive maximum utility subject to the budget or income given. Continue reading

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