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complete
a decision can be made
symmetric
an individual is indifferent
transitive
preference is "consistent"
local nonsatiation
no bliss points
monotonicity
more is better
strict convexity
a preference for diversity
continuity
no unexpected shifts in preferences
Indifference curves
The graphical set of all bundles of goods that an individual views equally desirable. -Specific to the individual -complete summary of "tastes" -indifference map is a combo of indifference curves -CANNOT be upward sloping -infinite and non crossing -Curvature tells about trade-offs …
Perfect compliments
-Goods that a consumer is interested in in consuming only in fixed proportions
Perfect substitutes
-Goods that a consumer is indifferent as to which to consume.
Marginal Rate of Substitution 1
The max amount of good 2 the individual would be willing to give up to get one more Good 1
Marginal Rate of Substitution (2)
The minimum amount of Good 2 the individual would need to receive to give up one more good 1
Marginal Rate of Substitution (3)
(the negative) of the derivative of the indifference curve, x2=f(x1)
Utility function
a mathematical function that represents an individuals preferences in a very particular way (ITS JUST A LABEL) -Increasing utility function exists if and only if preferences are rational and monotonic
ordinal
no way of comparison
cardinal
one that tells us the relative ranking of the two things and tells us how much
Monotonic Transformations
1. Adding a constant 2. Multiplying by a positive constant 3. Assuming each is positive, raising to a positive power 4.Ln/Exponential *(if the derivative of a transformation is positive, it is monotonic)
Cobb-douglas
Holds the property that at low levels of each good they are complementary, High levels of each, they are more substitutable
Constatn Elasticity of Substitution (CES) utility function
A chameleon function that can "mimic" other utility functions/ p=1 if a perfect substitute p-->0 it becomes a Cobb-Douglas utility function p-->-Infiniti if becomes a perfect compliment utility function
budget set
set of all bundles from which an individual can choose
Constrained Optimization
1. If preferences are monotonic, then my optimal point will be on the budget line or else monotonicity is violated 2. If preferences are rational, convex, and monotonic, then if I am consuming both goods, my optimal point will be on the budget line and will be at a point
Diminishing Marginal Rate of subsitution
Strictly convex preferences display a diminishing marginal rate of substitution. In other words, the more of a good an individual has compared to the other good to offset a decrease in another good. CONVEXITY DRIVES EVERYTHING

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