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5. Consumer’s behavior: the ordinal utility theory

Cardinal utility theory(marginal utility theory)

Ordinal util. theory

1)Measures utility

2) util – unit of utility

3) Tries to avoid measurement

4) Only ranks and order of preferences.

Assumptions (preferences are):

Complete – consumer can make a choice and decide what he wants.

Reflexive – any bundle of goods are as good as itself.

Transitive – consumer is consistent in his preferences, there is no contradictions in his behavior.

Ex.: If X>Y and Y >Z  consumer prefers X

Well behaved preferences:

Monotonic – assumes that there is a free disposal of goods and refers only to good, not to bads(MU<0).

!!! The more you consume the better, NO point of satiation(насыщение)

Convex(curve with no flat parts)if we take

three extreme points and take weighted average

it will be better than extremes.

Move along the IC to the → => MRS↓ => each additional unit of X becomes less valuable in terms of good Y(diminishing MU law), that is why the curve is convex.

Indifference curve(ic) and its properties.

IC – a set of points that characterizes all the combinations of two goods which yield the same TU.

General form of the well-behaved IC – points on the curve correspond to the different bundles of goods, but they give the same TU. A consumer is indifferent between these bundles of goods.

MRS – marginal rate of substitution – shows how many units of good Y a consumer is willing to give up in order to get one more unit of good X.

An individ. consumer has an infinite numb. of IC and the curves characterize a preference map(PM) of the consumer.

Each consumer has his unique PM, and each IC corresponds to certain level of utility and TU↑ in the north-east direction.

IC of the same PM don’t cross, as each curve shows a certain level of TU. If they cross => the point of intersection has the same util. for both curves, and it contradicts the definition.

Indifference curve, its shape and mrs

  1. Good X and Y are perfect substitutes. (EX: black and blue pens) => MRS = --1

  2. Perfect complements. (EX: left and right shoe)

  3. Good & bed products. ( Y↑ => X↑ in order to compensate the negative effect). MRS = positive.

  4. Neutral & good products. MRS=infinity.

1) 2)

5) Integer case. (EX: auto, fridge etc).

6) Point of Satiation(насыщение). A -- the best combination.

  1. G o

!!! If we consume too much of one good, or of both goods, they become bads.

!!! Consumer eats only X or Y.

!!!Consumer combines X and Y.

Utility function and consumer’s optimal choice(COC).

COC – a cons. wants to max. his TU, but he is restricted by his income and market prices, so his optimal choice must be according to them.

!!! point B – an optimal choice – tangent point of budget constraint(BC) and the highest possible IC.

!!! All the curves to the right of the BC are not affordable.

If Py < Px => cons. will buy Y => optimal point is on the y-axis and vice versa…

If Py = Px => there can be any number between two extremes.

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