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2. Show, in a two-person diagram, how Hammond's equity principle implies that the Bergson-Samuelson social welfare function takes the Rawlsian form when this function is

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2. Show, in a two-person diagram, how Hammond's equity principle implies that the Bergson-Samuelson social welfare function takes the Rawlsian form when this function is strictly increasing and continuous. In contrast, show how the Utilitarian form arises when the social welfare function is assumed to be continuous, strictly increasing, and anonymity and cardinal unit comparability are satisfied

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