Mathematical Principles of Horse Racing in Tian Ji: Game Theory. The quality of three batches of horses, represented by Tian Ji, was inferior to that of the King of Qi at every level. And Tian Ji dismounted without any advantage, rode a horse that had complete advantage over the King of Qi, and then used the upper middle horse with comparative advantage to deal with the middle horse of the King of Qi. Therefore, he is sure to win.
Big losses, small wins and small wins-> Losing less and winning more is one of the earliest examples of game theory.
The story of horse racing in Tianji: Sun Bin was a famous strategist during the Spring and Autumn Period and the Warring States Period. He was very close to Tian Ji, the general of Qi. Tian Ji often competes with Qi Weiwang in horse racing, which is divided into three levels. In the race, the horse is always on the horse, the middle horse is on the horse, and the horse is dismounted. Because my horses in Wei Qi are better than those in Tian Ji at every level, and Tian Ji has been defeated repeatedly.
When Sun Bin knew this, he said to Tian Ji, "You can compete with him again. I have a way for you to win. " On the day of the live horse race, Sun Bin first got off his horse to Qi Weiwang, then got off his horse to the middle horse, and finally got off the middle horse. As a result, Tian Ji won, one lost and two won.
Tongma got the result of turning defeat into victory by changing the competition procedure. Finally won the gold bet of the king of Qi. So Tian Ji recommended Sun Bin to Qi Weiwang. Qi Weiwang asked him about the art of war, so he regarded him as a teacher.