# Tag: algorithm

## Game Theory: Rafa is the King

Together with Formula 1, tennis is the other sport I love – and my favourite player by far is Rafa!

We often apply game theory to various sports and consider how players, teams and individuals can think strategically. One of the big debates in tennis is ‘who is the best ever’ and I argue that Nadal is the greatest, based on a huge range of metrics.

I saw this article in the Economist, providing analysis and comparison between some of the best tennis players. It shows how we can use economic thinking, probability, game theory and analysis to come to something of an answer about who is the greatest, considering the various players’ runs to the title in the Grand Slams. Of course the reason I’m posting this is because according to the Economist, Rafa is the best! And the reasoning is very sound. Enjoy. I certainly did.

Sorry Roger: Rafael Nadal is not just the King of Clay The Economist (13/09/17)

### Questions

1. What is game theory and why is it useful?
2. How does the rating system aim to measure the skill of a tennis champion?
3. In this particular scenario, why is it important to use probabilities?
4. We can use game theory to think about penalty shoot outs and whether footballers play to the Nash equilibrium. Can we also use the Nash equilibrium when thinking about tennis? (Think about the serve!)