Overall rating formula?

Question

Algorithms

Example: sports olympiad, participants are countries. State teams are made up of athletes.
Is there a generally accepted formula for calculating a country's ranking not by the number of gold medals, but by the total number of places taken?
Those. for example 2 third places are better than 1 second or 10 fourth places are better than 1 gold medal, etc.

Answer 1

As conceived by the founder of the Games, Coubertin, the Olympic Games are a competition of ATHLETES, not COUNTRIES.
BUT in 1952, the Soviet team appeared here and, to prove the superiority of the socialist system, came up with an “unofficial team classification” and began to compare the results of countries. It so happened that the USSR was losing a little to the USA, and ours cheated a little and it turned out that we and they shared the first place.
Then nobody was interested in it, and SovSport discovered muhlezh only when the USSR was no more.
And then everyone liked to count the results of the countries.
They counted differently. Now - by the number of gold, then by silver and bronze.
Previously, they counted by points - 1st place (7), 2nd (5), 3rd (4) and so on up to sixth
Or only by prizes
Or by the total amount of medals.
But in any case, the count remains unofficial.
(C) answer.mail.ru/answer/410697264/

Answer 2

As far as I know, there is no such formula. Moreover, it is hardly possible to develop it. Any competition for which you are trying to calculate the rating will have its own specifics. Allocated points should reflect both this specificity and the points that you would like to highlight the rating. For example, earlier in Formula 1, points were given according to the scheme 10-8-6-5-4-3-2-1. Now they are charged according to the scheme 25-18-15-12-10-8-6-4-2-1. What is it for? Well, for example, in order to increase the points difference between victory and second place, in order to make the weight of the victory greater. This, in turn, was done due to the specifics of the competition - in order to make the system more "fair", and to make it more difficult to win the title with a minimum of wins, but good stability.
But for example, in disciplines such as diving, the best and worst marks are generally cut off in order to avoid both cheating and vice versa. Naturally, the evaluation system there should be different.
In any other sport (or non-sport, for example, a rating on a site by “pluses”), the scoring system will most likely have to be re-invented, in accordance with the characteristics of this sport, and taking into account the fact that it should be impossible to “wind it up” .

Answer 3

There can be no general universal rating. Even on the example of the Olympics, as already written above, they first counted by points, then by gold ... In different sports, they count differently. In football, we used to get 2 points for a victory, now 3 ...