Thank you, Mr. Boulerice. That's a very good question.
Basically, the system is very simple and requires a relatively simple mathematical operation.
For each grade, we compile the votes, the percentages. Whether we start with the worst grade, “reject”, or the best, “excellent”, we count the votes to reach a threshold of at least 50%. That's how we determine the majority grade. That's how the system got its name.
There are a number of aspects I have not mentioned, including the major advantages of this electoral system. Mr. Derriennic talked about the preferential voting system, which I personally loathe. Just like the first past the post system, that system is easy to manipulate. However, the majority judgment system is practically immune to external manipulation.
To illustrate the point simplistically, say that someone with a lot of money can buy their election by renting buses and surrounding themselves with many volunteers with cars, in order to give voters rides. In a close election, this would ensure the candidate has 500 or 1000 more votes in order to beat an opponent.
In the majority judgment system, since there is a threshold, the sole interest in filling up the buses is to engage more voters. The system completely prevents candidates from choosing voters to tip the balance in their favour. The people the candidate would transport and who would vote for them would be in the 50% of voters. That may be a bit difficult to understand, but this system is extremely transparent and prevents manipulation.
There are other aspects we can talk about, but I'll let you ask other questions.