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Utility representation of preferences Consider an individual with a rational preference relation >, namely a preference relation that satisfies completeness and transitivity. Show that if

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Utility representation of preferences Consider an individual with a rational preference relation >, namely a preference relation that satisfies completeness and transitivity. Show that if u(x) =u(y) implies x z y, and u(x) > u(y) implies x> y, then u() is a utility function that represents this individual's preference relation 2

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