CHAPTER 5: DIFFERENT TYPES OF TASTES Flashcards
(36 cards)
Different types of tastes are represented by
Different types of indifference maps
Ways indifference maps differ
Shape of curves
(Perfect subs + complements)
Way curves relate to one another
(Nomothetic, quasi linear, normal + inferior)
Whether the curves cross the axis (essential vs non-essential goods)
Perfect substitutes
Same indifference curve
Linear
Same MRS at every bundle
Perfect subs utility function + MRS
U(x1,x2) = x1 + x2
MRS = -a/b
As a A and b are both positive, the value of the function increases when
The amount of either good increases, meaning monotone preferences.
Convexity depends on
When x increases.
Preferences are strictly conveys if the value of mrs_____
And conveys if it
Diminishes
Stays the same
Perfect complements =
Goods consumed together or worthless
Maps for perfect complements are
L shaped as consumers are unwilling to substitute
Perfect complements utility function
U(x1,x2) = min {x1,x2}
Adding curvature to perfect substitutes indifference maps,
The goods are still relatively substitutable because the MRS is changing slowly along each indifference curve
As the curvature increases
Degree of substitutability decreases
Elasticity of substitution
Based on the speed (ratio x2/x1 change for change in Mrs) the MRS changes as we move along the indiff curve
Measure of the degree of substitution
The flatter the indiff curve
Larger the change in x2/x1 is for any change in MRS
Elasticity of substitution eqation
Weird o thing = |%change (x2/x1) / %change MRS|
DLn(x2/x1) / dln|MRS|
Homoethic tastes
mrs depends only on the relative quantity of each good in the bundle. MRS remains constant on any ray from the origin
Relative quantity of each good remains constant along each ray from the origin
Are Perfect subs and complements homoethic?
Homothetic as no matter what ray from the origin, all bundles on the ray have the same MRS.
Quasi linear tastes
Quasi linear in x1 when the Mrs only depends on the quantity of X1 in the bundle (not x2)
Quasi linear tastes implies
Goods requiring small portions of income, same quantity even if income changes
Quasliniear mrs
Always constant
Tastes for Perfect subs + complements quasi linear?
Subs = quasi linear because bundles have the same MRS
Complements = quasi linear = one goood alone increases happiness, so no
Non-essential goods
Goods we can live without
Essential goods
Need some of each good, good must have indifference curve converage at the other goods axis