Outline Proof: (Arrow, 1951). When there are three or more alternatives, then every SWF that is weakly Paretian and IIA must be a dictatorship. Hint: use two important lemmas.
Answer
Prove Contagion Lemma using weak Pareto and IIA. Prove Splitting Lemma using Contagion Lemma, transitivity, weak Pareto and IIA. Apply Splitting Lemma multiple times.
Outline Proof: (Arrow, 1951). When there are three or more alternatives, then every SWF that is weakly Paretian and IIA must be a dictatorship. Hint: use two important lemmas.
Outline Proof: (Arrow, 1951). When there are three or more alternatives, then every SWF that is weakly Paretian and IIA must be a dictatorship. Hint: use two important lemmas.
Answer
Prove Contagion Lemma using weak Pareto and IIA. Prove Splitting Lemma using Contagion Lemma, transitivity, weak Pareto and IIA. Apply Splitting Lemma multiple times.
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owner: rappatoni - (no access) - CompSocBook.pdf, p24
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