ECO204Y5 Lecture Notes - Lecture 2: Standard Language, Indifference Curve, Utility

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14 Sep 2016

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Tophat question: based on a table, you can"t choose the most preferred bundle because that depends on a consumer"s preferences, based on a indifference map, choosing a preferred bundle is easier. What else can we learn from indifference curves: implies willingness to trade-off between goods. Ex: at bundle b: lots of coconuts (c), very little fish (f) To get to point a: give up lots of c for some f. What happens as we give up more c to get more f: willingness to give up c for f decreases due to diminishing marginal rate of substitution (mrs) Mrs is used to quantify the amount of one good that a consumer will give up to obtain more of another; it measures the value that the individual places on. 1 extra unit of a good in terms of another o. Note: diminishing mrs: at point b to point a: mrs , at point a to point c: mrs =

Related Questions

Suppose all consumers are maximizing utility with convex indifference curves. All face the same prices, and are perfectly rational. According to microeconomic models, at the maximization bundle they should

A. All have the same marginal rate of substitution

B. All buy more of the least expensive good

C. All end up with the same bundle of goods

D. All have the same level of satisfaction

Consider an indifference map with food on the vertical axis and shelter on the horizontal axis.

If a consumer is willing to give up 3 units of food in exchange for 1 unit of shelter and food is priced at $5 per unit and shelter at $10 per unit, then the consumer is:

A. Purchasing too much food for utility maximization

B. Purchasing too much shelter for utility maximization

C. Purchasing just the right amount of each good for utility maximization

D. Purchasing less than the budget would allow

If a consumer with convex indifference curves moves along her budget line, closer and closer to the horizontal axis, as she is moving:

		A. The marginal utility she gets from good Y declines.
		B. The marginal utility she gets from good X declines.
		C. The marginal utility she gets from good X increases.
		D. The price ratio of the two goods changes.

PROBLEM 1 (This one is designed to give you lots of math practice!)

Consider the following individual utility functions:

Adam Smith: U(x,y) = xy

Jeremy Bentham: U(x,y) = x^ay^b (Cobb-Douglas utility function)

Alfred Marshall: U(x,y) = ln x + ln y

John M. Keynes: U(x,y) = x + y^b (Quasi-linear utility function)

Joan Robinson: U(x,y) = aX + bY (linear; perfect substitutes)

a. Solve for the MRS(XY) for each of the gentlemen (i.e., all but Joan Robinson). Show that Mr. Smith, Mr. Bentham, and Mr. Marshall all have diminishing MRS(XY), but that if a=b=2, their preferences exhibit constant, increasing, and decreasing marginal utility respectively. (Fortunately, diminishing MRS is the condition that guarantees convex indifference curves, so we can solve for their optimal consumption!)

b. What is the general formula for Mrs. Robinsons (constant) MRS?

c. Find demand functions for x and y for Smith, Bentham, Marshall, and Keynes. Assume that each man has income I and that the prices of x and y are p_x and p_y respectively.

d. Now assume that a=1/2, b = 1/4, I = 600, p_x = 10 and p_y = 20. Use these values to find the utility-maximizing quantities of x and y consumed by each man.

e. Find an expression for the share of income Mr. Bentham and Mr. Marshall each devote to the consumption of good x, where this share, s_x, is defined as

(p_x x)/I.

f. Find expressions for the income elasticity of demand for good x for Mr. Bentham and Mr. Marshall. Find expressions for the (own) price elasticity of demand for good y for these two men.

aquamarinescorpion997

budget line

marginal utility

complete property of preferences

market demand

consumption bundle

substitution effect

Giffen good

total effect

income effect

transitive property of preferences

indifference curves

utility

the marginal rate of substitution

utility function

1.	_____	The satisfaction or benefit that consumers receive from consuming goods or services.
2.	________________ _	A particular combination of specific quantities of goods or services
3.	________________ _	Consumers can rank all conceivable bundles of goods or services
4.	_____	If A is preferred to B, and B is preferred to C, then A is always preferred to C.
5.	_____	Equation showing a consumerâs perception of the total utility forthcoming from consuming each bundle of goods and services.
6.	_____	A set of consumption bundles each and every one of which provides a consumer with exactly the same level of total utility.
7.	_____	The number of units of Y that must be given up for total utility to remain the same when one more unit of X is consumed.
8.	_____	The addition to total utility attributable to consuming one more unit of a good, holding the consumption of all other goods constant.
9.	_____	The line showing all bundles of goods that can be purchased at given prices if the entire income is spent.
10.	_____	The change in the consumption of a good that would result if the consumer remained on the original indifference curve after the price of the good changes.
11.	_____	The change in consumption of goods results strictly from the change in purchasing power after the price of a good changes.
12.	________________ _	The sum of the substitution and income effects.
13.	_____	A good for which quantity demanded varies directly with price, causing an upward sloping demand curve.
14.	_____	A list of prices and the corresponding quantity consumers are willing and able to purchase at each price.

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ECO204Y5 Lecture Notes - Lecture 2: Standard Language, Indifference Curve, Utility

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