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a limited list of all possible choice under certain system, nature, technology and other social environments that the decisionmaker must take. ? Choice rule: , maybe contain more than one elements. ( , ( .) )CBB ?B a nd BB? ? ?X B( ) , f or C B B B?? B(. )C ??lecture5 for Chu Kechen Honors College rule of choice ? Weak Axiom of Revealed Preference (WARP or WA) : if for certain , and for and , then must ?Revealed Preference “ ”: B ?B,x y B?()x C B?B??B ()y C B ??,x y B??()x C B ???%, , , a n d ( )x y B x y B x C B? ? ? ? ? ? ?B%lecture5 for Chu Kechen Honors College rule of choice ? Choice set ? Proposition2: if are rational, then choice construct satisfied WA. ? indicate that if the decisionmaker have rational preference, than his choice satisfied WA. Is his preference rational if his choice is observed satisfy WA? ( , ( ., ) )C ? %B%( , ) { : , }C B x B x y y B? ? ? ? ?%%lecture5 for Chu Kechen Honors College rule of choice ?Definition: for , we say “rational preference rationalization ? Propersition3: if satisfied WA and contain all subsets of X that is ternary and less than ternary. ? example: X={x,y,z}, B ={{x,y},{y,z},{x,z}}, C({x,y})={x},C({y,z})={y},C({x,z})={z},(B , C(.)) satisfied WARP, but there is no rationalization preference relation over it. ( , ( ., ) )C ? %B% (.)C( , ( ., ) )C ? %BBlecture5 for Chu Kechen Honors College budget ? Consumption set X and it’s pr