A Rawlsian welfare function counts only the welfare of the worst off agent. The opposite of the Rawlsian welfare function, which might be called the "Nietzschean" welfare function, says that the value of an allocation depends only on the welfare of the best off agent. 1. What mathematical form would the Nietzschean welfare func- tion take? 2. What kind of allocations represent welfare maxima of the Ni- etzschean welfare function