When you run the model, you are guaranteed that the system will eventually reach consensus. In other words, given a choice of two parties to vote for, A or B, the whole population will end up voting for either party A or party B. This model is "conservative" in the sense that by running the system many times it will sometimes end up in state A and at other times state B, but the ratio of these two states exactly matches the initial configuration of the system. So, taking the US for example, if we set our system up so that initially 55% intended to vote Republican and 45% sided with the Democrats, then 55% of time the system will reach a Republican consensus, while 45% of the time it will end up with everyone voting Democrat. In other words, on average no one changes their mind.