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lecture5 for Chu Kechen Honors College Advanced Economics (lecture 5: consumption theory I) Ye Jianliang lecture5 for Chu Kechen Honors College Preference and Choice ? Content: ? Preference and rationality ? The rule of choice ? Budget ? Demand function ? WA and demanded law lecture5 for Chu Kechen Honors College ? An (acceptable) alternatives set (or a consumption set ) ? A (weak) preference relation“ ”: a binary relationship on X, for any , means” x is at least as good as y”. ? A strict preference “ ”: ? An indifference relation “ ”: k???X%,xy? X xy%, bu t n ot x y x y y x? %%, a nd x y x y y x? %%lecture5 for Chu Kechen Honors College ? Definition: preference on X is rational if: ? It’s plete: ? It’s reflexive: ? It’s transitive: %, , e i t he r or , or bothx y x y y x? X %%, x x x?? X %, , , i f a nd , t he n x y z x y y z x z? X % % %lecture5 for Chu Kechen Honors College ? Propersition1: if is rational, then: ? is irreflexive and transitive ? is reflexive and transitive and symmetric ? If % , the n x y z x z%lecture5 for Chu Kechen Honors College rule of choice ? We can only observe what a man choice under a certain constrain. ?Is the man’s preference rational when we observed several choice of him? ? Or if his preference was rational, what rules will his choice take? lecture5 for Chu Kechen Honors College rule of choice ? Choice construct: a choice under certain budget: ? Budget set: and , is a budget family, represented