3- preferences Flashcards
what are the main axioms of preferences?
completeness, reflexivity, transistivity and continuity (technical assumption)
what is the axiom of completeness
we assume that any two bundles can be compared. if a consumer chooses between X and Y, he should be able to say whether X is >= Y or Y>=X or indifference. preference ordering must be complete over all bundles of goods. any bundle can be compared to any other bundle
what is the axiom of reflexivity?
we assume that the bundle is at least as good as itself that is X>=X. consumers must be indifferent between two identical bundles
what is the axiom of transitivity?
if X >= Y and Y>= Z then X>=Z. in other words if X is preffered to Y and Y is preferred to Z then X must be preffered to Z
what is the axiom of continuity?
there should be no sudden jumps or gaps in the utility function
what is an indifference curve>
an indifference curve represents the set of all bundles that are equally preferred
is it possible for indifference curves to intersect?
no it is not possible for indifference curves to intersect
what is the shape of the indifference curve when the goods are perfect substitutes?
there will be a constant slope when the indifference curves are perfect substitutes
what are perfect complements?
perfect complements are goods that are always consumed together in fixed proportions
what is the shape of a perfect complement indifference curve?
they are L shaped curves
what is a bad commodity?
a bad commodity is a commmidity that the consumer doesn’t like
what does the indifference curve look like when there is a good and a bad?
when there is a good and a bad then the indifference curve has a positive slope. the direction of increasing preferences is when the indifference curve shifts towards the axis of the good
what is the satiation/bliss point?
the satiation/bliss point is the overall best bundle where utility is maximised. any more or less consumed will make the consumer worse off
when is a preference well behaved?
a preference is well behaved when they satisfy two additional properties: monotonicity and convexity
what does monotonicity mean?
monotonicity means that more is better.