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Unformatted text preview: PREFERENCES Siyang Xiong Rice University September 27, 2011 Xiong (Rice University) ECON 401 September 27, 2011 1 / 14 consumer preferences Suppose we are given a choice set X . Let x ; y ; z denote elements in X , i.e., x ; y ; z 2 X . I have a binary relation (more speci&cally, preference) on elements in X . For example, x is strictly preferred y : x & y : I am indi/erent between x and y : x y : x is weakly preferred y : x y : Xiong (Rice University) ECON 401 September 27, 2011 2 14 binary relation Let B denote the binary relation (i.e., & , or ): xBy Some property of binary relation: Relexive : xBx for all x 2 X ; Irrelexive : : xBx for all x 2 X ; Symmetric : xBy implies yBx for all x ; y 2 X ; Asymmetric : xBy implies : yBx for all x ; y 2 X ; Transitive : xBy and yBz implies xBz for all x ; y ; z 2 X ; Negatively Transitive : : xBy and : yBz implies : xBz for all x ; y ; z 2 X ; Complete : either xBy or yBx for all x ; y 2 X ; Acyclic : x 1 Bx 2 Bx 3 ::: x n & 1 Bx n implies x 1 6 = x 2 . Xiong (Rice University) ECON 401 September 27, 2011 3 / 14 de&ne preferences: method #1 start with " & ", then " " is de&ned as follows....
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This note was uploaded on 02/09/2012 for the course ECON 401 taught by Professor Siyang during the Spring '11 term at Rice.
 Spring '11
 Siyang
 Economics

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