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\homework{7: Voting Systems}{Due Tuesday, Week 8, at the start of class}
Work on these problems for 90m/until you solve everything/longer if you're interested!
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\item In class, we saw that one natural idea of a ``fair'' voting system led to some fairly awful situations: the only voting systems we could come up with were dictatorships!

Fix this, as follows:\ Create a voting system for that (1) has no dictators and (2) satisfies unanimity.  Come up with a situation where your voting system fails the independence of irrelevant alternatives condition.  

Does your voting system seem like a ``good'' system to implement?  Would you want people to use it? Do any countries in the world use this system already?
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