1. Construct an example in which plurality and plurality with runoff
methods give the same results but the Borda count gives a different result.
2. Construct an example in which Plurality and Hare methods give the
same result, but plurality with runoff gives a different result. What
are the results in your example if the Borda count is used?
What are the results in your example if the Coombs method is used?
If these results are the same, can you modify your example so as to make
the results according to Borda and according to Coombs different from each
3. For any of the examples you have created for problems 1 and 2, determine
which method is most susceptible to manipulation by insincere voting.