Let ?={?,?,?,?}X={w,x,y,z} be a universal set of alternatives and consider the choice problems, ?={?,?,?}A={x,y,z} and ?={?,?}B={w,x}. Suppose that the decision maker's choice rule specifies ?(?)={?,?}C(A)={x,y} and ?(?)={?}C(B)={w}.   Which of the following statements can we deduce from the choice rule? a. z is revealed weakly preferred to both x and y b. y is revealed strictly preferred to x c. y is revealed weakly preferred to x d. x is revealed weakly preferred to w

A First Course in Probability (10th Edition)
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Let ?={?,?,?,?}X={w,x,y,z} be a universal set of alternatives and consider the choice problems, ?={?,?,?}A={x,y,z} and ?={?,?}B={w,x}. Suppose that the decision maker's choice rule specifies ?(?)={?,?}C(A)={x,y} and ?(?)={?}C(B)={w}.

 

Which of the following statements can we deduce from the choice rule?


a. z is revealed weakly preferred to both x and y
b. y is revealed strictly preferred to x
c. y is revealed weakly preferred to x
d. x is revealed weakly preferred to w
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