My friends are pretty cool. Your friends are probably pretty cool too.
Sometimes I feel like mine are the best in the world and you probably feel the same way about yours.
You probably stop there, move on and continue to enjoy your life. The tragically rational among us stop and realize that’s mathematically impossible or at least statistically improbable.
How can you not be overwhelmed by the number of people you don’t know? Or even the people you do know but have not developed a relationship and past history with?
But then again if you spend all your time meeting new people you never develop meaningful relationships with anyone. Clearly there is some appropriate balance between developing relationships you already have and expanding your social horizons. But how do you find that balance?
Not knowing where the correct balance, we can turn to a mathematical model. To make our lives easier, let’s examine a particular type of relationship: Marriage. The rules are you get to pick one person from the set of people you’ve met (no mail order brides) and can not divorce.
Today’s question: What is the appropriate age to get married (or more precisely pick a partner from the set of people that you already know)? Until what age do you continue to search and when do you … for lack of a better word … settle with the best you have?
I put the rest under the fold because it involves a fair but of math and even some integrals .
For those who don’t care about math, the answer is 50 years. You can stop reading now. For the geeks, onward we go…..