Game theory dating
To be precise, the exact answer is to find first value of such that The full proof is fascinating, though somewhat technical.
I encourage my avid math readers to check it out: How to Find a Spouse A Problem in Discrete Mathematics With an Assist From Calculus A Lesson Learned?
This means by pure luck you have a 1/3 chance of finding true love if you always pick the first person. How often does this strategy find the best overall person? For the specifics, there are 6 possible dating orders, and the strategy wins in three cases.(The notation 3 1 2 means you dated the worst person first, then the best, and then the second best. The Best Strategy for the General Case From the example, you can infer the best strategy is to reject some number of people ( people.
You also have a 1/3 chance if you always pick the last person, or always pick the second. I marked the person that the strategy would pick in bold and indicated a win if the strategy picked the best candidate overall.)You increase your odds by learning information from the first person. When you go through the math, the odds do not change as you date more people.
You would be in luck, because the math says you’re first in line to be their true love 😉 I am the author of The Joy of Game Theory: An Introduction to Strategic Thinking.
I have also written several books about mathematical puzzles, paradoxes, and related topics available on Amazon.
Here is a table displaying specific numbers: Now I was simplifying matters just a bit because “rejecting 37 percent” is an approximation.
I guess this is why there are certain age clusters when people get married.
I make videos about mathematics and riddles on You Tube. Currently I post a weekly mathematical puzzler on Sunday.
My work has received coverage in the press, including the Shorty Awards, The Telegraph, Freakonomics, and other fine sites. One of my popular posts is how to get straight A's in college. If you purchase through these links, I may be compensated for purchases made on Amazon. The Joy of Game Theory shows how you can use math to out-think your competition.
In this statistics game, you search for your true love by dating and having relationships with various people.
Your only goal is to find the best person willing to date you–any thing less is a failure. You can start thinking about the solution by wondering what your strategies are.
The natural question is how many people should you reject?