Book cover for Intermediate Microeconomics: A Modern Approach

Intermediate Microeconomics: A Modern Approach

Hal R. Varian

ISBN #9780393927023

7th Edition

224 Questions

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Homework Questions

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Summary
Learning Objectives
Key Concepts
Example Problems
Explanations
Common Mistakes

Summary

This chapter delves into the intricacies of buying and selling by examining how consumers and laborers navigate markets. Key focal points include the transformation of the budget constraint following endowment changes, the derivation of offer and demand curves, and the application of the Slutsky Equation to illustrate the substitution and income effects under price variations. Real-world scenarios, such as overtime in labor supply, are used to solidify theoretical frameworks and elucidate practical decision-making processes.

Learning Objectives

1

Explain the dynamics of consumer and labor market behavior, with an emphasis on net versus gross demands.

2

Analyze how the budget constraint transforms with changes in endowment and the effects of price changes.

3

Derive and interpret offer and demand curves in the context of market behavior.

4

Apply the Slutsky Equation to differentiate between substitution and income effects in decision-making.

5

Relate theoretical principles to real-world scenarios, such as overtime in labor supply.

Key Concepts

CONCEPT

DEFINITION

Consumer Market Behavior

The study of how consumers make decisions regarding the purchase of goods and services.

Labor Market Behavior

The analysis of how workers decide on labor supply based on factors like wages and working conditions.

Net Demand

The demand remaining after accounting for any supplies or offsetting transactions; often reflects true consumer desires.

Gross Demand

The total demand before adjustments for supply sources or offsets, representing complete market interest.

Budget Constraint

A model that represents the combinations of goods and services a consumer can purchase given his or her income and prices.

Endowment

The initial allocation of resources, such as income or assets, which determines an individual's purchasing power.

Offer Curve

A curve that represents the relationship between the quantity of a good a consumer is willing to offer (sell or trade) at various prices.

Demand Curve

A curve showing the relationship between the price of a good and the quantity demanded by consumers.

Slutsky Equation

An equation that decomposes the effect of a price change into substitution and income effects.

Substitution Effect

The change in consumption patterns due solely to a change in the relative prices of goods, holding utility constant.

Income Effect

The change in consumption resulting from a change in the consumer's purchasing power due to a price change.

Example Problems

Example 1

If a consumer's net demands are (5,-3) and her endowment is (4,4) what are her gross demands?

Example 2

The prices are $\left(p_{1}, p_{2}\right)=(2,3),$ and the consumer is currently consuming $\left(x_{1}, x_{2}\right)=(4,4) .$ There is a perfect market for the two goods in which they can be bought and sold costlessly. Will the consumer necessarily prefer consuming the bundle $\left(y_{1}, y_{2}\right)=(3,5) ?$ Will she necessarily prefer having the bundle $\left(y_{1}, y_{2}\right) ?$

Example 3

The prices are $\left(p_{1}, p_{2}\right)=(2,3),$ and the consumer is currently consuming $\left(x_{1}, x_{2}\right)=(4,4), \quad$ Now the prices change to $\left(q_{1}, q_{2}\right)=(2,4), \quad$ Could the consumer be better off under these new prices?

Example 4

The U.S. currently imports about half of the petroleum that it uses. The rest of its needs are met by domestic production. Could the price of oil rise so much that the U.S. would be made better off?

Example 5

Suppose that by some miracle the number of hours in the day increased from 24 to 30 hours (with luck this would happen shortly before exam week). How would this affect the budget constraint?
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Step-by-Step Explanations

QUESTION

How does an increase in a consumer's endowment affect the budget constraint?

STEP-BY-STEP ANSWER:

Step 1: Identify the initial budget constraint, which is determined by the consumer’s income (endowment) and the prices of goods.
Step 2: Determine how the increase in endowment changes the consumer’s total available income.
Step 3: Adjust the budget constraint equation by replacing the original income value with the new, higher income.
Step 4: Observe that the new budget constraint is a parallel shift outward, indicating that the consumer can now afford more goods at any given price level.
Final Answer: An increase in endowment causes the budget constraint to shift outward in a parallel manner, enabling greater consumption possibilities.

Transformation of the Budget Constraint with Endowment Changes

QUESTION

How do you separate the substitution effect from the income effect when there is a price change?

STEP-BY-STEP ANSWER:

Step 1: Identify the initial consumption bundle before the price change.
Step 2: Calculate the new consumption bundle after the price change, holding real income constant to isolate the substitution effect.
Step 3: Determine the deviation from the bundle obtained in Step 2 to the actual new consumption bundle after the price change, which accounts for the income effect.
Step 4: Use the Slutsky Equation to formally express the total effect of the price change as the sum of the substitution and income effects.
Final Answer: By holding real income constant to find the substitution effect and then accounting for the remaining change as the income effect, the Slutsky Equation successfully decomposes the total impact of a price change on consumption.

Application of the Slutsky Equation

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Common Mistakes

  • Assuming that an increase in income only affects the budget constraint without influencing the substitution effect.
  • Confusing net demand with gross demand, leading to incorrect interpretations of consumer behavior.
  • Misapplying the Slutsky Equation by not correctly isolating the substitution effect from the income effect.
  • Overlooking the impact of price changes on both consumer and labor market decisions.