1.What is an
indifference map? What an indifference map indicates?
An
indifference map is the collection of indifference curves possessed by an
individual. To describe a person’s preferences for all combinations of two
goods i.e food and clothing, we can graph a set of indifference curves called
an indifference map (Figure B12). Each indifference curve in the map shows the
market baskets among which the person is indifferent. The graph below shows
three indifference curves that form part of an indifference map (the entire map
includes an infinite number of such curves). Indifference curve U3 generates
the highest level of satisfaction, followed by indifference curves U2 and U1.
2. What are the four
basic assumptions about individual preferences? Explain the significance or
meaning of each.
(1)
Preferences are complete: this means that the consumer is able to compare and
rank all possible baskets of goods and services.
(2)
Preferences are transitive: this means that preferences are consistent, in the
sense that if bundle A is preferred to bundle B and bundle B is preferred to
bundle C, then bundle A is preferred to bundle C.
(3)
More is preferred to less: this means that all goods are desirable, and that
the consumer always prefers to have more of each good.
(4)
Diminishing marginal rate of substitution: this means that indifference curves
are convex, and that the slope of the indifference curve increases (becomes
less negative) as we move down along the curve. As a consumer moves down along
her indifference curve she is willing to give up fewer units of the good on the
vertical axis in exchange for one more unit of the good on the horizontal axis.
This assumption also means that balanced market baskets are generally preferred
to baskets that have a lot of one good and very little of the other good.
3. Can a set of
indifference curves be upward sloping? If so, what would this tell about the
two goods?
A set
of indifference curves can be upward sloping if we violate assumption number
three; more is preferred to less. When a set of indifference curves is upward
sloping, it means one of the goods is a “bad” so that the consumer prefers less
of that good rather than more. The positive slope means that the consumer will
accept more of the bad only if he also receives more of the other good in
return. As we move up along the indifference curve the consumer has more of the
good he likes, and also more of the good he does not like.
4. Why is the
indifference curve downward slopping? Explain why two indifference curves
cannot intersect.
Reasons
for indifference curve downward slopping:
Indifference curves are downward sloping (Figure B14). In the example of food and clothing, when the amount of food increases along an indifference curve, the amount of clothing decreases. The fact that indifference curves slope downward follows directly from our assumption that more of a good is better than less. If an indifference curve sloped upward, a consumer would be indifferent between two market baskets even though one of them had more of both food and clothing. The magnitude of the slope of an indifference curve measures the consumer’s marginal rate of substitution (MRS) between two goods.
In this graph
(Figure B14), the MRS between clothing (C) and food (F) falls from 6 (between A
and B) to 4 (between B and D) to 2 (between D and E) to 1 (between E and G).
When the MRS diminishes along an indifference curve, the curve is convex. To
quantify the amount of one good that a consumer will give up to obtain more of
another, we use a measure called the marginal rate of substitution (MRS). The
MRS of food F for clothing C is the maximum amount of clothing that a person is
willing to give up to obtain one additional unit of food.
Indifference
curves cannot intersect:
The figure below shows two indifference curves intersecting at point A. We know
from the definition of an indifference curve that the consumer has the same
level of utility for every bundle of goods that lies on the given curve. In
this case, the consumer is indifferent between bundles A and B because they
both lie on indifference curve U1. Similarly, the consumer is indifferent
between bundles A and C because they both lie on indifference curve U2. By the
transitivity of preferences this consumer should also be indifferent between C
and B. However, we see from the graph that C lies above B, so C must be
preferred to B because C contains more of Good Y and the same amount of Good X
as does B, and more is preferred to less. But this violates transitivity, so
indifference curves must not intersect.
5. Draw a budget line
that identifies the satisfaction-maximizing choice using indifference curve
analysis. What conclusion does it say?
The budget constraints
the consumers face as a result of their limited incomes. This show using Budget
Line. To see how a budget constraint limits a consumer’s choices, let’s
consider a situation in which a woman has a fixed amount of income, I, that can
be spent on food and clothing. Let F be the amount of food purchased and C be
the amount of clothing. The budget line indicates all combinations of F and C
for which the total amount of money spent is equal to income.
As shown in the
above graph (Figure B15), a consumer maximizes satisfaction by choosing market basket
A. At this point, the budget line and indifference curve U2 are tangent, and no
higher level of satisfaction (e.g., market basket D) can be attained. At A, the
point of maximization, the MRS between the two goods equals the price ratio. At
B, however, because the MRS [−(−10/10) = 1] is greater than the price ratio
(1/2), satisfaction is not maximized.
6. What happens to
the marginal rate of substitution as you move along a convex indifference
curve?
The
MRS measures how much of a good you are willing to give up in exchange for one
more unit of the other good, keeping utility constant. The MRS diminishes along
a convex indifference curve. This occurs because as you move down along the
indifference curve, you are willing to give up less and less of the good on the
vertical axis in exchange for one more unit of the good on the horizontal axis.
The MRS is also the negative of the slope of the indifference curve, which
decreases (becomes closer to zero) as you move down along the indifference
curve. The MRS is constant along a linear indifference curve because the slope
does not change. The consumer is always willing to trade the same number of
units of one good in exchange for the other.
7. ‘Shape of an indifference
curve shows the law of marginal rate of substitution’- How?
The indifference curves show
those combinations of two goods on which the utility of consumer remains the
same. The slope of the indifference curve is the marginal rate of substitution.
MRS shows the rate at which consumer substitutes the consumption of good Y for
an additional unit of good X. The MRS determines the shape of the indifference
curve. If the MRS is diminishing, then the consumer willing to substitute only
smaller and smaller units of good Y for additional units of good X. The shape
of the IC in case of diminishing MRS will be convex to the origin.
8. What is the
difference between ordinal utility and cardinal utility? ‘Indifference curve is
ordinal utility approach’- Do you agree? Explain your answer.
Ordinal utility implies an
ordering among alternatives without regard for intensity of preference. For
example, if the consumer’s first choice is preferred to his second choice, then
utility from the first choice will be higher
than utility from the second choice. How much higher is not important. An
ordinal utility function generates a ranking of bundles and no meaning is given
to the magnitude of the utility number itself. Cardinal utility implies that
the intensity of preferences may be quantified, and that the utility number
itself has meaning. An ordinal ranking is all that is needed to rank consumer
choices. It is not necessary to know how intensely a consumer prefers basket A
over basket B; it is enough to know that A is preferred to B.
Indifference
curve is ordinal utility approach. A consumer’s
preferences can be graphically presented with the use of indifference curves.
An indifference curve represents all combinations of market baskets that
provide a consumer with the same level of satisfaction. That person is
therefore indifferent among the market baskets represented by the points graphed on the curve.
9. How is total
satisfaction measured in utility analysis?
In utility analysis, total
satisfaction, also known as total utility, refers to the overall level of
satisfaction or happiness derived from consuming a certain quantity of a good
or service. Utility analysis is a framework used in economics to understand and
quantify the preferences and choices of individuals.Measuring total
satisfaction or utility is a challenging task because it involves subjective
experiences and individual preferences. However, economists use several methods
to estimate and compare utility levels. Here are a few commonly used
approaches:
1. Cardinal Utility Measurement: This approach assigns
numerical values to utility, allowing for direct comparison between different
levels of satisfaction. However, measuring cardinal utility is highly
subjective and varies from person to person.
2. Ordinal Utility Measurement: In this approach, utility is
ranked or ordered rather than assigned precise numerical values. Individuals
provide preferences or rankings for different goods or services, which allow
for comparison and analysis. This method avoids the subjectivity of assigning
specific numbers to utility levels.
3. Indifference Curve Analysis: Indifference curves
represent combinations of goods or services that provide the same level of
utility or satisfaction to an individual. By comparing different indifference
curves, economists can assess changes in satisfaction or utility when the
quantities of goods consumed change.
4. Revealed Preference: This method infers an individual's
utility or preference by observing their actual choices and behavior in the
market. By analyzing the goods or services individuals select and the prices
they are willing to pay, economists can infer their underlying utility
functions.
5. Hedonic Methods: Hedonic analysis is used to measure
utility or satisfaction by considering the characteristics or attributes of a
product or service. This approach quantifies the value individuals derive from
specific features and attributes and incorporates them into utility
calculations.
It's important to note that measuring total satisfaction or
utility precisely is challenging, as it involves subjective experiences and
individual preferences that can vary greatly. Economists use these methods as
approximations to better understand and analyze consumer behavior and choices.
10. ‘Marginal utility
decreases as a consumer consumes more of a good’-Explain.
Marginal Utility: The additional satisfaction a consumer gains from consuming one more unit of a good or service. Marginal utility is an important economic concept because economists use it to determine how much of an item a consumer will buy. Positive marginal utility is when the consumption of an additional item increases the total utility. Negative marginal utility is when the consumption of an additional item decreases the total utility
The law of diminishing the marginal
utility:
According to this principle, the marginal utility of a
commodity reduces when the quantity of goods is more. Consequently, when the
quantity is more, the prices will fall and demand will increase. Hence,
consumers will demand more goods when prices are less. This is why the demand
curve slopes downwards.
Graphical Explanation:
The above graph shows the total utility
in increasing gradually and after zenith point it is down moving. The margin
utility curve is down sloping, after sometimes it may be zero or negative.
11. ‘Consumer
consumes up to the point where marginal utility equal to price’- Explain.
The
law of diminishing marginal utility states that all else equal, as consumption
increases, the marginal utility derived from each additional unit declines.
Marginal utility is the incremental increase in utility that results from the
consumption of one additional unit.
In
figure (B16), if a piece of mango costs Tk90, it would make sense to consume
two pieces. The first piece gives 120 utility, which is greater than the price
of 90. The second piece gives a utility equal to the price. The third piece
would give marginal utility of only 60, which is less than the price of 90. A
rational consumer would not consume more than two.
12. ‘Marginal utility
curve slopes downward’-Why?
The marginal utility curve slopes downward because of the
principle of diminishing marginal utility. According to this principle, as an
individual consumes more units of a good or service, the additional
satisfaction or utility derived from each additional unit decreases.
To understand why the marginal utility curve slopes
downward, consider the following example: Suppose you are hungry, and you eat a
slice of pizza. The first slice of pizza provides a significant level of
satisfaction or utility because it fulfills your hunger. As you continue to eat
more slices, your hunger diminishes, and the additional satisfaction you derive
from each subsequent slice decreases.
This diminishing marginal utility occurs due to various
factors, such as:
1. Satiation: As you consume more of a
good or service, your desire or need for it decreases. For example, the first
few slices of pizza may satisfy your hunger, but as you consume more, you
become less hungry, and the additional satisfaction you gain from each slice
decreases.
2. Substitution effect: As you consume
more of a good, you may start to seek alternatives or substitutes that provide
different sources of satisfaction. For example, after eating several slices of
pizza, you may start craving dessert instead of more pizza.
3. Satiety: The more you consume of a
particular good or service, the more likely you are to experience diminishing
returns in terms of satisfaction. For instance, the first few bites of a
delicious dessert may be very enjoyable, but as you continue eating, the
enjoyment may diminish.
4. Time constraints: With limited time
and attention, the utility you derive from each additional unit of a good or
service decreases. For example, if you are given a large amount of time to
consume a good, such as watching a movie, the utility from each additional
minute may diminish as you become less engaged or interested.
These factors collectively contribute
to the diminishing marginal utility and explain why the marginal utility curve
slopes downward. The curve visually represents the decreasing rate at which
additional units of a good or service contribute to total utility or
satisfaction.
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