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A preference relation on X is supposed to be rational. Show the following. (a) Reflexive: For any x € X, x ~ X. (b) Transitive: For any x; y; z € X, if x > y and y > z, then x > z. where and > are defined as follows: a ba≥b and ba a>b⇒ab and NOT ba

A preference relation on X is supposed to be rational. Show the following. (a) Reflexive: For any x € X, x ~ X. (b) Transitive: For any x; y; z € X, if x > y and y > z, then x > z. where and > are defined as follows: a ba≥b and ba a>b⇒ab and NOT ba

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QUESTION 1. A preference relation ≥ on X is supposed to be rational. Show the following. (a) Reflexive: For any x € X, x ~ X. (b) Transitive: For any x; y; z € X, if x > y and y > z, then x > z. where ~ and > are defined as follows: a~b⇒a≥b and b ≥ a a>b⇒a≥b and NOT b ≥ a
Transcribed Image Text:QUESTION 1. A preference relation ≥ on X is supposed to be rational. Show the following. (a) Reflexive: For any x € X, x ~ X. (b) Transitive: For any x; y; z € X, if x > y and y > z, then x > z. where ~ and > are defined as follows: a~b⇒a≥b and b ≥ a a>b⇒a≥b and NOT b ≥ a
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