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A Rawlsian welfare function counts only the welfare of the worst off agent. The opposite of the Rawlsian welfare function might be called the Nietzschean

A Rawlsian welfare function counts only the welfare of the worst off agent. The opposite of the Rawlsian welfare function might be called the "Nietzschean" welfare functiona welfare function that says the value of an allocation depends only on the welfare of the best off agent. What mathematical form would the Nietzschean welfare function take?

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