Two major approaches to utility KARDINAL ORDINAL - immeasurability of utility- direct measuribility of utility Tools used: - Indifference analysisTools used: - Basic assumption: consumer- Total utility curve can rank market baskets- Marginal utility curve (the most desired basket is ranked first)
CARDINAL APPROACH TO UTILITY Utility = satisfaction consumers receive from items they require, activities they engage in, or services they use Total utility = total satisfaction enjoyed from consuming any given quantity čit´s a subjective concept Marginal utility = the extra satisfaction a person receives over a given period by consuming one extra unit of a good
Relationship of Total and Marginal UtilityQuantity of good consumed Total utility Marginal utility0 01 4 42 7 33 9 24 10 15 10 0 ∆TU MU = ∆Q The relationship between total and marginal utility can be expressed also graphically. The figure of total utility shows how the total utility depends on the amount of consumed good the ratio ∆TU represents than the slope of total utility curve. ∆Q
Relationship TU and MU graphicallyPMU TU0 MU Q0 Q
1. Gossen´s law The law of diminishing marginal utility – the amount of extra or marginal utility declines as a person consumes more and more of a good čUtility tends to increase as you consume more of a good, however, according to the law of diminishing marginal utility, your total utility will grow at a slower and slower rate
Consumer Equilibrium As a rational consumer, you presumably seek to obtain the greatest possible utility from your limited monthly income. On condition we don´t have to pay anything for a good, the equlibrium level of consumption of that good would be the amount that brings us the highest total utility. Equilibrium amount of a good will be bought than, as long as the marginal utility equals the price of that product: MU = P
2. Gossen´s lawThe law of equal marginal utilities per dollar/euro.. = equimarginal principle- to maximize utility, consumer must equalize the marginal utility per euro spent on each good MUx MUy (MU of income) = Px Py
Deriving of demand curveThe demand curve represents a relationship between the marginal utility of a good and the quantity consumed, other things beings equalA higher price for a good reduces the consumer´s optimal consumption of that commodity, therefore for each price exists the quantity demanded corresponding the consumer optimum downward- sloping demand curve!
ORDINAL APPROACH TO UTILITY INDIFFERENCE CURVES THE BUDGET CONSTRAINT A graph of various market baskets Budget line = represents all that provide a consumer with equal utility alternative combinations of Different individual will naturally rank two goods that consumer market baskets differently can afford considering hisMain characteristics: fixed income (assuming fixed∀ • convex to origin – represents the prices). „law of substitution“ The equation of budget line∀ • downward-sloping is:∀ • there is always an infinite number of curves I = Px ∗ X + Py ∗ Y∀ • they never intersects mutually• ∆Y Px ∆Y MUx The slope: = MRSXY = = ∆X Py ∆X MUy
Consumer equilibrium Represents that combination of goods purchases that maximizes utility subject to the budget constraint Geometrically, the equilibrium can be described as that combination of goods corresponding to the point at which the budget line is just tangent to the highest attainable indifference curve in the consumer´s indifference map Px MUx = substitution ratio = Py MUy
Indifference analysisB TU=7 TU=5 TU=4 TU=2 TU=1 A
DERIVING THE DEMAND CURVE Kept other things constant, when the price of X has increased, it will mean that the less of that product you can afford with your income čgraphically it means the change of the budget line slope – it becomes steeper and therefore will touch different indifference curve (representing lower level of utility) each price corresponds other optimal point and therefore different quantity of good demanded, in that way we can construct the demand curve (individual)
CONSUMER SURPLUS= the gap between the total utility of a good and its total market value The surplus arises because we „receive more than we pay for“, it is rooted in the law of diminishing marginal utility we pay for each unit what the last unit is worth – but by the law of diminishing marginal utility the earlier units are worth more to us than the last thus, we enjoy a surplus of utility on each of these earlier units
Tasks:1. Can be TU positive and MU negative at the same time? Draw graphs and explain.2. Knowing following dates:a) Draw the graphs of TU and MU curves.b) Calculate, how high consumer surplus you´ll get, when the market price of good is 8 Eur and decide, how many units you will consume. Q 1 2 3 4 5 6 7 TU 20 36 48 56 60 60 583. Px = 120 Eur and Py = 80 Eur. Graphically show, what will happen when Px has increased by 18 Eur and at the same time Py by 12 Eur. Use the tools of indifference analysis.4. Your function of TU is: TU = 10X – X2 . (where X is quantity of good consumed per week).a) Write the equation of MU and decide, at what level of consumption start TU decrease?b) Derive and draw TU and MU curves.c) Assume Px = 6 Eur. By what level of consumption of good X will household maximize its utility, knowing, that the ratio MU/P for all other goods = 1)?