Budget Constraints and income changes Flashcards

1
Q

Equation of budget constraint

A

q2= -p1/p2 x q1 + Y/p2

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2
Q

What is the slope of a budget constraint

A

Marginal rate of transformation (MRT), it measures the opportunity cost of consuming one pizza in terms of burritos. -p1/P2

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3
Q

What must be true for a point to give optimal utility given the budget constraint

A

MRS=MRT so u1/p1=u2/p2

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4
Q

How are interior solutions for maximising utility found?

A

Substitution method or langrangian method

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5
Q

When can corner solutions occur?

A

When the utility functions indifference curve hits the axis. Usually happens with perfect substitutes or quasilinear

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6
Q

What happens to an individual’s consumption of a good when that good’s price changes?

A

They re-optimise, their behaviour changes but their preferences don’t

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7
Q

How can a demand curve be derived for a good using price?

A

Lower and increase the price of the good and find what quantity of the good the consumer consumes using a price consumption curve and then plot this

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8
Q

How can demand curves be derived for a good using income?

A

Alter income and find changes in consumption, plot an Engel curve and then turn this into demand curves

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9
Q

Normal good

A

If Income increases so does consumption

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10
Q

Inferior good

A

If income increases, demand decreases

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11
Q

How do we find market demand when we have consumers’ demand

A

Find their demand functions and add them then turn it into inverse demand

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12
Q

What two parts can we decompose the total change in quantity demanded of a good into?

A

Substitution effect and income effect

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13
Q

Substitution effect

A

Substitute other goods for good A as price of A rises

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14
Q

Income effect

A

As the price of A rises, real income falls and so spending on all goods decreases

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15
Q

How do we find the substitution effect after an increase in price of good one?

A

We increase the consumers income until their utility is back to its original level. The difference in quantity between this point e* and the original point e1 is equal to the substitution effect

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16
Q

How do we find the income effect after an increase in the price of good one?

A

We give the consumer their original income with the new price and find the new maximised utility e2. The difference between this point and e* is the income effect.

17
Q

Substitution, income and total effect of an increase in price of a normal good?

A

Sub -ve
In -ve
Total -ve

18
Q

Substitution, income and total effect of a decrease in price of a normal good?

A

Sub +ve
In +ve
Total +ve

19
Q

Substitution, income and total effect of an increase in price of an inferior good?

A

Sub -ve
In +ve
Total -ve

20
Q

Substitution, income and total effect of a decrease in price of an inferior good?

A

Sub +ve
In -ve
Total +ve

21
Q

Substitution, income and total effect of an increase in price of a giffen good?

A

Sub -ve
In +ve
Total +ve

22
Q

Substitution, income and total effect of a decrease in price of a giffen good?

A

Sub +ve
In -ve
Total -ve

23
Q

What are compensated demand curves?

A

It is a demand curve that holds utility constant as a goods price changes. This eliminates the income effect so price increases always decrease demand

24
Q

How do you construct the compensated demand curve?

A

By shifting budget constraints to remain on the same indifference curve.

25
Q

Is compensated demand curve steeper or shallower than the uncompensated demand curve?

A

It is steeper for normal goods because the income effect has been eliminated

26
Q

Why do we use the compensated demand curve?

A

Substitution effects cause a bias in the consumer price index (CPI)

27
Q

Compensating variation

A

Refers to the amount of money we have to pay someone after a price change to bring them back to their original utility level

28
Q

How do you work out the compensating variation?

A

Original utility maximising point is e1, after price increase point is e2. The same as with the income and substitution effect, we increase the co summers income until they are on their original utility function again. The increase in income is the compensating variation

29
Q

Equivalent variation

A

Given a consumers choice before a price increase, how much Monday would we have to gage away from that consumer to reduce their utility by as much as the price increase

30
Q

Who do we work out the equivalent variation

A

Start at original point e1, the consumption point changes to e2 after the price change. We move the old budget constraint parallel to the new utility function. The vertical difference between the two budget constraints is the equivalent variation.

31
Q

Are the compensating abs equivalent variations the same?

A

Usually they are different because
CV- how much money is required to compensate the consumer given the new prices
EV- how much money needs to be taken away from the consumer given old prices

32
Q

Why must the government consider the equivalent variation when setting subsidies?

A

The cost of the subsidy must be greater than the equivalent variation

33
Q

Why are subsidies inefficient?

A

The subsidy cost is greater than the equivalent variation do costs > benefits so direct income transfer to consumers would be cheaper

34
Q

Consumer surplus

A

It is an alternative welfare measure to compensating and equivalent variation in income. It is the difference between the price paid and what the consumer is willing to pay for it

35
Q

What is the problem with using consumer surplus

A

It is approximate since it ignores the income effect

36
Q

Marginal valuation argument

A

Assumes that utility from consuming good one doesn’t depend on how much money is left for good two. This is usually a good assumption if good one only accounts for a very small share of total expenditure.

37
Q

What could make consumer surplus more accurate

A

If we used the compensated demand curve then consumer surplus would be exact. However, we use the uncompensated curve because sometimes income effects are difficult to measure