Academic Year: 2012/2013Instructors: Brenda Lynch and PJ Hunt Contact: email@example.com firstname.lastname@example.org
Fig 9.1 Two goods, X and Y. Income fixed. Originalconsumer equilibrium is at X1, Y1 (Point A). Price of X increases, the budget line rotates inward on the X axis and the new consumer equilibrium is at X2, Y2 (point B).
YI/Py Y1 A B Y2 IC0 IC1 X X2 I/Px X1 I/Px
This drop in utility is caused by; (a) The income effect and (b) The substitution effect. (a) An increase in the price of X is like a drop in real income. (b) The substitution effect is the adjustment of demand to a change in the relative prices of goods as a result of a change in the price of one of the goods.
To isolate the substitution effect, remove theincome effect by compensating the consumer justenough income to put him back on the originalIC0. Do this by drawing a line tangential to IC0 and parallel to new budget line. New intersect is at X3, Y3 (Point C). The income effect reduces consumption of X from X3 to X2; the substitution effect reduces consumption from X1 to X3.
Y Fig. 9.1 A to C = Substitution EffectI/Py C to B = Income Effect Y3 C Y1 A B Y2 IC0 IC1 X X2 I/Px x1 I/Px X3
Hicks and Slutsky.Inflation increases, how much do youcompensate workers?Two ways (we only look at one way); 1. Compensation Variation in Income Hicks, compensate workers at new prices to allow them obtain original level of utility. Slutsky, compensate workers at new prices to obtain original bundle of goods.
Fig. 9.2 – Compensation Variation Original consumer equilibrium at point A. Price of one good doubles, budget line pivots inward. New consumer equilibrium is at point B.
Hicks. Draw line parallel to new budget line andtangential to IC0 i.e. original utility on original IC.Compensation Variation = S –T Slutsky. Draw line parallel to new budget line and tangential original consumer equilibrium i.e. original bundle of goods. Compensation Variation = R-T
Y r Fig. 9.2 sSlutsky Hicks r-t s–t t Slutsky Hicks C A B IC0 IC1 X I/Px I/Px