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4. A choice rule C satisfies Arrow's axiom if for any A, A' E P(X), A' C A and C(A) n A' # 0 =

4. A choice rule C satisfies Arrow's axiom if for any A, A' E P(X), A' C A and C(A) n A' # 0 = C(A') = C(A) n A'. Show that a choice rule is rationalizable by a rational preference relation if and only if it satisfies Arrow's axiom

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