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Behind The Demand Curve I ► 1.Marginal ► 2. utility theory assumptions law of diminishing marginal utility optimal consumption critique Uses of utility theory? Uses ► (i) Elasticity - determined by preferences. How quickly MU diminishes ► (ii) Efficiency - consumer surplus. Resource allocation ► (iii) Paradox of value - diamonds & water Assumptions ► Consumers ► Ceteris paribus ► Cardinalist ► Utility are rational approach - utils = satisfaction (preferences) Measurement of utility ► Total utility “… the total satisfaction gained from the consumption of ALL units of a commodity.” ► Marginal utility “…the extra utility derived from the consumption of one more unit of a good, the consumption of all other goods remaining unchanged.” ► See Figure 1-3 - shape & calculation Utility from consuming cream cakes (daily) 16 TU 14 Utility (utils) 12 MU No. of cream TU cakes in utils in utils 10 0 1 2 3 4 5 6 8 6 4 7 4 2 1 0 -1 0 7 11 13 14 14 13 2 0 0 1 2 3 4 5 -2 No. of cream cakesfigconsumed (per day) 6 The Law of Diminishing Marginal Utility ► Slope of the MU schedule ► Definition “…as the quantity of a good consumed by an individual increases, the marginal utility of the good will eventually decrease.” ► Marginal analysis Optimal consumption - background ► Consumers have limited income. Choices. No saving ► Rational consumer - maximise utility ► Measurement problem - utils? ► Solution: measure utility in money price prepared to pay price you actually pay Optimal consumption - single good ► Buy one extra unit when MU > Price ►MU (in monetary terms) = marginal benefit ►Price = marginal cost ► Stop when MU = Price Optimal consumption - consumer surplus(CS) ► Consumer surplus Price prepared to pay - price actually paid ► Marginal consumer surplus MCS = MU - marginal expenditure MCS = MU - P ► i.e. the excess of utility over price ► Buy more when MU > P (MCS positive). Stop MU = P Derivation of the demand curve ► Equals the MU curve as long as consumers maximise CS ► If price falls: buy more since MU > P or MCS is positive movement along demand schedule Marginal utility from petrol 120 110 MU, P (pence per litre) a 100 Consumer surplus 90 b c 80 MU 70 60 50 40 0 250 500 fig Q (litres per annum) 750 1000 Optimal consumption - multi-good case ► Equi-marginal principle MUa \ Pa = MUb \ Pb = MUc \ Pc = … MUn \ Pn If price of a good changes - reallocate income ► If income is fixed …utility is maximised when the utility from the LAST pound spent on ALL goods is equal Uses ► (i) Elasticity - determined by preferences. How quickly MU diminishes ► (ii) Efficiency - consumer surplus. Resource allocation ► (iii) Paradox of value - diamonds & water