Mention seeding and pots and your mind might immediately jump to gardening – or, if you’re at all interested in football, you’ll be familiar with these terms as integral parts of the mathematical model behind the FIFA World Cup. If I add in the terms draw, ranking and table you might understand why, as a mathematician, I’m fascinated by the way this sporting tournament is structured.
Watching the matches is entertaining, but I also love analysing the tournament's mathematical architecture. One question I like to ask is how might I do things differently – in this case, how could you structure the World Cup so that all 54 teams have a fair chance at winning, without having to all play each other (this is called the handshake problem, and for 54 teams there would be 54 x 53/2 matches, which is 1431).
Where would you start?
A tournament is a mathematical concept as well as a sporting one. It involves this problem: how to combine results of matches to filter teams towards a winner in a way that is fair, efficient, and entertaining. Most tournaments involve the simplest element of two teams/players playing at one time against each other and the possible outcomes are limited to win, loss, or draw (with some sort of mechanism - like a penalty shoot-out - for deciding a winner if a draw occurs).
If we wanted to just concentrate on efficiency, we might use a ‘single-elimination’ model: the loser gets eliminated after every match. This means teams only play the minimum number of matches, but might not always be particularly fair in terms of the final winner as it doesn’t allow much room for error. It would also mean the total number of teams might have to be restricted to a certain type of number. Can you think why?
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)
You might have thought about even numbers first, because every team has to play another team. Then you might have thought about what this structure might look like diagrammatically, and eventually come to the conclusion that the total number of teams has to be a power of two (2, 4, 8, 16, 32…) for this to work.
Of course, you can always just add an initial round to the beginning with only a few players, or give some players a ‘free pass’ into the second round – but this isn’t fair, and for something like the FIFA World Cup would have fans rioting indignantly.
What about double elimination? This is the same sort of structure but allows for one loss. Many sports have this type of structure: some have repechage, or ‘fastest loser’ rounds, which allows narrowly losing teams/players to play each other for lower positions or re-enter the competition. Some sports, like the Australian Football League, allow players with better records to lose without being knocked out. This feels like a foray into dodgy territory.
FIFA in fact uses the ‘group stage round robin’ model, where teams are put into mixed-ability groups who then all play each other. The winners go on to the World Cup; of the runners-up, four will make it through after playoffs. The World Cup itself also has a group stage, where the top two of each group then go to knockout rounds (a nice round 16 teams - well planned). It’s a robust model that allows for two of the factors we talked about: fairness and entertainment. It’s certainly not the most efficient – the current one has a total of 851 matches over two years – but if you have the time and the audience, it’s probably not a bad model.
It becomes even more fascinating when you look at the variables used in the FIFA model. In order to decide which ‘pot’ countries go in at the beginning, FIFA calculates their world rankings and then one from each ‘pot’ goes randomly in a group, meaning that the groups are as mixed ability as possible (teachers will recognise this technique). How they rank the countries before the tournament is therefore very, very important as the success of the whole model to some extent relies on this measure.
Again, how might we design this from scratch? If we just look at winning and losing, a strange logical inconsistency can occur - an intransitive relationship. Imagine three teams only – we want to rank them from first to last, and they’ve all played against each other once. If A defeats B, B defeats C and C defeats A, how can we rank them? This is akin to the rock-paper-scissors scenario, where we cannot meaningfully rank these teams from this information alone (this sort of thing is relatively common in sporting scenarios). To combat this, and to try and encompass a wider range of variables, some sports use lots of different measures combined into a formula: these might include the strength of the opponent, the importance of the match, and the points difference as opposed to a straight win-loss-draw model. There is also a noted statistical advantage in playing at home, which is often compensated for (one study has found the average effect in football to be worth 0.5 goals)
One more thing to consider – should we start from scratch every season or year (called a cold start) or somehow take into effect previous performance? What would be the relative advantages of one over the other? Some of the more sophisticated models even weight this by the parity of the team – the percentage of players residual from the last season. Should we penalise teams for a high turnover in terms of their overall rankings?
The current FIFA model, while taking into account most of these elements, is notably flawed – something Wales has taken advantage of in the run up to the World Cup by abstaining from friendly matches in order to protect (or inflate) their seeding before the draw. If all countries did this, it wouldn't work (an example of what's called a zero-sum game in game theory). How might we improve this formula to prevent this happening in the future?
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)