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I have been thinking about this off and on, so I am just going to write down my thoughts.
So tell me how to do it? Please?
Sure? (Apart from you not rearranging them, but I know what you mean)
No, it does not matter whether you count the third voters preferences before the second. However, if voter 2 had voter 3's preferences and voter 3 had voter 2's preferences it would be a different outcome.
This is new to me, but looks interesting.
I don't think I understand the question. What I think you are looking for is if the matrix formed is reflexive, I can't find a case where it's not. If they all have to have different ordering, i.e.:
In this problem there are 3 voters listing their preferences over 3 political parties x,y,z. Using majority rule, the condorcet paradox occurs when, for example, x > y, y > z, z > x . This creates a cycle and no one wins the abstract election. 