Monday, October 23, 2006

Microeconomics 11th Edition

Chapter 2

Consumer Tastes and Preferences

Consumer Preferences

Consumers have a preference when it comes to items. We will call them market baskets. If we have two market baskets a consumer will have a preference of one basket to another. If not they are said to be indifferent to them. We assume that all basket preferences are complete when they can choose one to another. We also assume that the choices are transitive. If A is preferred over B and B over C, one would assume that A is chosen over C as well. Our last assumption is that consumers will prefer more of a commodity over less. If the first basket has 10 of A and 1 of B and the second has 10 of A and 2 of B, then the consumer will choose B over A. We can increase A to make the consumer indifferent to the baskets though.

Determinates of Consumer Tastes and Preferences

Consumers taste can and sometimes do change. As a consumer experiences different things taste will change, for example, a child likes candy, as an adult he may like vegetables. Sometimes the demonstration affect will take hold. This is when people see something that someone else has and it influences their decision to purchase one, either positively or negatively. Advertising is also a influencer of consumers purchasing decisions. Lastly, choices are sometimes independent of price. This can lead to conspicuous consumption. While this can happen it is not always the case.

Indifference Curves

An indifference curve is a curve plotted in terms of alternative goods that could show up in a market basket. Given a group of baskets, a consumer should be able to tell you their preferences between them or even that they are indifferent between them. We take the ones that show indifference and then graph them. This shows the indifference curve. It is possible that a consumer could have several pairings that are grouped together and other pairs that would give a greater satisfaction. This would form an indifference curve that would be more appealing to the consumer. In creating these sets of curves we create an indifference map. Since indifference curves are designed that more of one product is preferred over another the characteristic of it will be a negative slope. The assumption that more is preferred over less will result in higher indifference curves. Lastly, if transitivity in preferences combined with more is better logic will make it impossible for two indifference curves will intersect each other.

The Concept of Utility

The concept of utility says that a consumer will be able to put a numeric preference to a market basket. Since a consumer prefers all items on an indifference curve the same, that curve will be assigned that number. Also it should be noted that a higher number means the consumer prefers that curve’s items over a lower number. As long as the numbers show a high to low preference, economists do not care about the numeric scale.

The Marginal Rate of Substitution

The marginal rate of substitution is the number of good Y that a consumer would be willing to give up to gain one unit of good X. The formula for this is (Y2 – Y1)/(X2 – X1).

Deciphering the Shapes of Indifference Curves

A straight negative slope line shows a perfect substitution curve, one for one. A curve in the shape of an L would be Increasing X or Y from the corner without increasing the other is futile. Marginal rate of substitution here is 0 to the right of the corner and infinity at the corner. A curve in the line, like most indifference curves have, shows that the rate will decline along the curve. The decline will depend on the curve itself. The curve is assumed to be convex and the tangent of the curve lies beneath it.

The Budget Line

We assume that a consumer will try to maximize utility, that is, they will try to get on the highest possible indifference curve. No one has an infinite amount of money and can buy the basket that would be on the highest indifference curve so the choice has to be the best basket for what they can with their budget. To help understand, we assume that consumer can only buy two items and they must spend all their income (two statements that are not really true in the world). With these assumptions then:

QxPx + QyPy = I

Where Q is quantity, P is price, x and y are the items and I is income. This forms the budget line. The slope would be – Px/Py. Increases or decreases of income will not change the slope of the line only the amount of each item that can be purchased. If the cost of X increases, then the slope will change as we can now buy less of Y.

Equilibrium of the Consumer

Assuming that a consumer acts rationally, the market basket that would give the best utility and stay on the budget line would be the one that he would buy. To find this overlay the indifference curve and the budget line graph to find where the highest possible curve intersects the budget line.

Corner Solutions

In some case a consumer may choose to consume none of some good because they could not afford it. In this case the solution will be on the intersection of the Y line and be called a corner solution.

Corner Solutions and Diminishing Marginal Rates of Substitution

We have been working with the assumption of a concave curve. If the marginal rate of substitution rose in place of falling we would have a convex curve. If this happens it is possible for the budget line to have two intersections with two different indifference curves. This would lead to another corner solution as the intersection on the high curve end would normally be the intersection of Y. Since we do not see this type of purchasing (everyone only buys one product), then we can assume that this type of indifference curve is not normal.

Ordinal and Cardinal Utility

For what we are studying, ordinal utility, or putting items in a ranking order is sufficient. Economist used to believe that we should apply a preference based on cardinal numbers, or the difference between the numbers would show the weight of the preferences. If we can get a consumer to tell us their cardinal preferences, then this can be useful. We measure this in a unit called Util.

Marginal Utility

The total utility is the satisfaction level we just talked about. The marginal utility is the satisfaction that would be gained by one more unit of that commodity. Again we assume for simplicity, two items. We construct a table to show the utility at various quantities:

Number of X

Total Utility of all

Marginal Utility

0

0

-

1

4

4 (4 – 0)

2

9

5 (9 – 4)

3

13

4 (13 – 9)

4

16

3 (16 -3)

5

18

2 (18 – 16)



We see that we get increased satisfaction till it gets to 2 units of X and then, though the total utility goes up, we get less and less satisfaction for each unit added. This leads to the law of diminishing marginal utility that states that the more a consumer consumes of a quantity the marginal utility will eventually start to decline.

Budget Allocation Rule

A consumer will try to maximize his utility so that the marginal utility of the item will be in proportion to its price. The formula is roughly stated as follows:

(MUx)/Px = (MUy)/Py

This roughly translates down to the last unit that a person will want to buy will give him an util that will be equal to the util received from the other product. This will maximize his satisfaction with that market basket.

Ordinal Utility Revisited

While the above principle should be understood, in general, consumers do not give preference with cardinal numbers and it can limit its use. Our formula from above can be rewritten:

MUx/MUy = Px/Py

Our formula for ordinal marginal rate of substitution is:

MRSxy = MUx/MUy

From these formulas we can derive:

MRSxy = Px/Py

So basically we should find the customer equilibrium point the same with we use cardinal or ordinal numbers.

Revealed Preference

We assume in all this statements that the consumer is telling the truth in all he is providing us information for. We cannot know that for sure unless we experiment with his budget line (both the income and the prices) and see where his preferences would really lie. This shows us his revealed preferences.

Friday, October 20, 2006

Microeconomics 11th Edition

Chapter 1

Microeconomics

Introduction

What is economics?

  1. Study of how scarce resources are allocated among alternative uses

  2. Study of economic behavior of individual units and decision makers: consumers, firms and owners to name a few

Tasks Performed by an Economic System

Economics deals with the functioning of an economic system by allocating scarce resources to competitive users to produce goods and services for consumption.

  1. Certain limited resources should be used in a certain way to make best use of them.

  2. Who should get what and how should it be distributed

  3. Time brings about economic growth

Building and Using an Economic Model

Much like scientist in other disciplines, economist use models to understand how the system works. Models simplify things so that they can be better understood, but remember that a model should not be made so simple that it is useless.

Evaluating a Model

  • Accuracy of prediction – a model should be as accurate as the finances will allow

  • Logical consistency – any findings based on the model should be done in a logical fashion

  • Range of applicability – the more general a model, the less accuracy will be obtained; the more specific a model, the more accuracy will be obtained

  • Use the best available – given a choice, the best model should be used, even if it is not the one that does what you want

Keep it simple. Get it right. Make it credible. Robert Solow

Positive Analysis versus Normative Analysis

Positive analysis describes what will happen if a particular system were to change. Normative analysis describes what should be done in response to a change. While it is possible that both types could result in similar answers to a problem, they also have a good chance of not giving the same answer. They should, however be compared.

Modeling the Price System – Demand Supply and Equilibrium

Economist deal with markets. Markets can be defined as a group of firms and individuals who are in touch with one another for the purpose of buying or selling some good.

The Demand Side of the Market

A market demand schedule is a table that shows how much of a good would be purchased at each possible price. A market demand curve is plot on a graph of that information, price on the y axis and amount on the x axis. In general the slope will be downward from left to right as consumers will demand more when the price goes down. This information is for a particular time frame.

Demand curves depend on the taste of the consumers for how they are formed. If a consumer likes a product the curve will shift to the right. Less popularity means that the curve will shift to the left. The income of a consumer will affect the curve as well, in general, more income and the curve shifts right, less income and the curve shifts left. Lastly, the cost of other products, called substitutes, can cause the demand curve to shift as well.

The Supply Side of the Market

Like wise, the sellers have the supply side of the market. A market supply schedule is a list of how many goods a supplier would be willing to supply at each price range. From that table, we could make a market supply curve like the demand curves. Like the demand curve, this curve is for a specific point in time.

A change in technology that causes products to be produced cheaper will cause the supply curve to shift to the right. Conversely, rising costs of labor, energy and raw material can cause the cost to go up and the supply curve to shift to the left.

Market Equilibrium

Equilibrium is a situation where there is no tendency to change. An equilibrium price is would be a price that would not change for a long period of time. By nature, the market should find this point automatically. To see why it is necessary to take the demand curve and overlay it with the supply curve. We can see that at a lower price there would be more demand and less supplied creating a shortage. Eventually this would cause prices to go up. Like wise, at a higher price there would be a large supply but less demand causing a surplus causing the price to go down. It both cases the prices will change repeatedly until the point where the two lines cross. At that point, the supply and demand will equal and there will be no shortage or surplus.

Actual Price

Though a company may set a price not equal to the equilibrium price, eventually the price will works it way to the equilibrium price. It can not be said how long this will take though.

The Effects on Price of Shifts in the Demand Curve

If consumers developed a higher demand for a product, the demand curve would shift to the right. If there is no price change there will be a shortage and the supplier would have to raise price to meet demand to get to equilibrium. On the other hand, if the demand goes lower, then the curve shifts to the left and we see a surplus causing the suppliers to drop price to get rid of the surplus. This would eventually lead to a new equilibrium point.

The Effects on Price of Shifts in the Supply Curve

If we assume that technology improvements will eventually mean that more can be produced for the same price we effectively lower the price of the item. What does this do to equilibrium point? A lower supply price would create a higher demand. If the price were to rise, then the demand would decrease. In either case, the equilibrium point would set itself accordingly.

The Effects on Price and Quantity of Simultaneous Shifts in Supply and Demand

If moves are made in changes of demand and price, there can be many different results.

Price effects:


Increase Demand

Reduce Demand

Increase Supply

?

-

Reduce Supply

+

?



Quantity Change


Increase Demand

Reduce Demand

Increase Supply

+

?

Reduce Supply

?

-