We have the rule:
We compare parties A and B in two different elections. If it happens that A wins votes and B loses votes, it cannot happen that A loses a seat and B wins a seat.
Concretely, I have to prove that Hamilton's method does not meet this rule by giving an example in which happens that A wins 2000 votes and B loses 2000 votes, A loses a seat, B wins a seat and the others stay the same.
I supose that the number of votes of A and B are big enough so that 2000 is a small amount and there is an extra party that increases the votes without changing the number of seats. But I am not able to find this example.
- What could be a suitable example?
- What would be the intuition to find such an example?