Later on, we will prove rigorously that the two optimal entities converge to the same value of roughly 0
You may find more optimism in the fact that as we increase the range of our dating life with https://datingranking.net/es/enganchate/ N, the optimal probability of finding Mr/Mrs
There are some interesting observations here: as we increase the number of candidates N that we consider, not only does the optimal probability decreases and see to converge, so does the optimal ratio M/N. 37.
You may wonder: “Hang on a minute, won’t I achieve the highest probability of finding the best person at a very small value of N?” That’s partially right. Based on the simulation, at N = 3, we can achieve the probability of success of up to 66% by simply choosing the third person every time. So does that mean we should always aim to date at most 3 people and settle on the third?
Well, you could. The problem is that this strategy will only maximize the chance of finding the best among these 3 people, which, for some cases, is enough. But most of us probably want to consider a wider range of option than the first 3 viable options that enter our life. This is essentially the same reason why we are encouraged to go on multiple dates when we are young: to find out the type of people we attract and are attracted to, to gain some good understanding of dating and living with a partner, and to learn more about ourselves along the process.
Perfect does not decay to zero. As long as we stick to our strategy, we can prove a threshold exists below which the optimal probability cannot fall. Our next task is to prove the optimality of our strategy and find that minimum threshold. (далее…)