Question

4. Say that Ris a preference relation defined on X and that R is complete and transitive. Show that for all r, y E X, if xPy,

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Answer #1

The completeness of a preference relation itself means xPy or yPx or both.

The transitivity of a preference relation means if xPy and yPz then it implies xPz

This concludes xPz or zPy or both.

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