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1、Chapter SevenRevealed Preference 顯現(xiàn)性偏好What Is the Question of theChapter?Suppose we observe a collection of a consumers choices, can we discover his/her preference?Is this possible at all? If so, under what conditions is this possible?(This is the reverse question of finding the optimal choiceDigres
2、sion: Science vs.Engineering(對(duì)比科學(xué)家思維與工程師思維找問(wèn)題與解問(wèn)題的不同要對(duì)問(wèn)題提問(wèn)題務(wù)虛與務(wù)實(shí)的不同解釋世界與改造世界的不同旁觀者與參與者的不同Maintained Assumptions onPreferencesPreferencesdo not change while the choice data aregathered.are strictly convex.are monotonic. Direct Preference Revelation Suppose that the bundle x*is chosen when the bundle
3、y is affordable. Then x* is revealed directly as preferred to y (otherwise y would have been chosen. Direct Preference Revelation That x is revealed directly as preferred to y will be written asx y.D Two Axioms of RevealedPreferenceTo apply revealed preference analysis, choices must satisfy two crit
4、eria -the Weak and the Strong Axioms of Revealed Preference. Preference (WARPChoice data which violate the WARP are inconsistent with economic rationality.The WARP is a necessary condition for applying economic rationality to explain observed choices.Preference (WARPWhat choice data violate the WARP
5、? Checking if Data Violate theWARPA consumer makes the following choices:At prices (p1,p2=($2,$2 the choice was(x1,x2 = (10,1.At (p1,p2=($2,$1 the choice was (x1,x2 =(5,5.At (p1,p2=($1,$2 the choice was (x1,x2 =(5,4.Is the WARP violated by these data? PreferenceWhat choice data would satisfy the WAR
6、P but violate the SARP?Preference Consider the following data:A: (p1,p2,p3= (1,3,10 & (x1,x2,x3= (3,1,4B: (p1,p2,p3= (4,3,6 & (x1,x2,x3= (2,5,3C: (p1,p2,p3= (1,1,5 & (x1,x2,x3= (4,4,3 PreferenceThat the observed choice data satisfy the SARP is a condition necessary and sufficient for there to be a w
7、ell-behaved preference relation that “rationalizes”the data.So our 3 data cannot be rationalized by a well-behaved preference relation.Recovering Indifference Curves Suppose we have the choice data satisfy the SARP.Then we can discover approximately where are the consumers indifference curves.How?Re
8、covering Indifference Curves Suppose we observe:A: (p1,p2= ($1,$1 & (x1,x2= (15,15B: (p1,p2= ($2,$1 & (x1,x2= (10,20C: (p1,p2= ($1,$2 & (x1,x2= (20,10D: (p1,p2= ($2,$5 & (x1,x2= (30,12E: (p1,p2= ($5,$2 & (x1,x2= (12,30.Where lies the indifference curve containing the bundle A = (15,15?Recovering Indifference Curves The table showing direct preference revelations is: Recovering Indifference Curves Since the choices satisfy the SARP, there is a well-behaved preference relation that “rationalizes”the choices. Recovering Indifference Curves Now, what about the bundles revealed as more pre
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