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4. Prove the following statement or give a counterexample: if the preference > on X = RK is continuous, PERY, and x 2 0 for

4. Prove the following statement or give a counterexample: if the preference > on X = RK is continuous, PERY, and x 2 0 for Vx E X, we have H(p, x) C D(p, p . x*) and x* ~ x for each x* E H(p, x)

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