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August 13, 2009 6:59 PM PDT

How to use math to choose a wife

by Chris Matyszczyk
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Perhaps the subject most fascinating to me at the moment is the gamble that is involved in choosing a life partner.

Perhaps I have been unnecessarily haunted since research revealed that Facebook destroys romantic relationships. Still, it was quite odd that a man whom I have chosen to follow on Twitter for his remarkable erudition in social psychology (oh, alright, his name is Dominic Johnson) passed along a quite extraordinary article from New Scientist, one that has made me ponder more deeply than I usually care to.

While the article begins by discussing the mathematical ways in which you can improve your chances in Vegas (or, if your taste and eyes have deserted you, Atlantic City), it goes on to discuss the marriage problem. Apparently, mathematicians have tortured themselves over marriage for some years. I did not know this. I figured that perhaps mathematicians only ever had one girlfriend, whom they married very soon after sex.

May I go down on one knee and admit how wrong I was?

Mathematicians have racked their brains and abacuses, for the good of society, in order to help us all choose wisely the person who shares our king-size. According to New Scientist, the law of diminishing returns has long been thought to be a marvelous indicator of when to stick, rather than turn another card.

Naturally, scientific laws have certain suppositions. And at first glance, I considered the idea of having a mere 100 choices a little unrealistic.

Were they each the other's 38th choice?

(Credit: CC Simon Shaw/Flickr)

However, the more I thought about it, the more it seemed a little more natural than it might have appeared. We march our way merrily through life, meeting people and declaring them a "yay" or a "nay."

Oh, we have some supposed criteria in our heads about what makes a "yay"- body type, nose shape, or some such nonsense. But commitment is a very hairy creature, one that barks at us more often than it sings.

So for a long time, mathematicians believed that, given 100 choices (each of which has to be chosen or discarded after the interview) you should discard the first 50 and then choose the next best one. (The assumption also is that if you don't choose the first 99, you have to choose number 100, which, again, seems rather realistic to me. I know so many people who have chosen the last resort out of perceived necessity rather than, say, happiness.)

The "Discard 50 then Choose the Next Best" method apparently gives you a 25 percent chance of choosing the best candidate.

However, then along came John Gilbert and Frederick Mosteller of Harvard University. I do not believe they were married. However, they came upon the idea that the magic number is, in fact, 37. Yes, you should stop after 37 candidates and choose the next best one. This number was apparently derived by taking the number 100 and dividing by e, the base of the natural logarithms (around 2.72). And it apparently increases your chances of the best choice to 37 percent.

Here's the real beauty of this calculation, though. You don't have to limit yourself to 100. This optimization works for any population. So if you have a world of 26 potential life partners, simply divide by 2.72 and choose the next best one.

Now, I know it is sometimes hard to know exactly how many potential partners are in your firmament. But it is surely not beyond some calculation.

We need a little more stability in this world. We need more happiness. And we need just a little more good judgment. It seems that only math can save us.

There is a small word of warning, however. Some psychologists, such as JoNell Strough at West Virginia University, believe that the more we invest (in a gambling and, one supposes, marriage context), the more likely our decision will be attached to disaster.

However, I would be interested whether any of you number-conscious geniuses out there have also used mathematical principles to choose your betrothed. Perhaps you have done it more than once, but we would still love to hear your number-based criteria.

Chris Matyszczyk is an award-winning creative director who advises major corporations on content creation and marketing. He brings an irreverent, sarcastic, and sometimes ironic voice to the tech world. He is a member of the CNET Blog Network and is not an employee of CNET.
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Add a Comment (Log in or register) Showing 1 of 3 pages (81 Comments)
by cvaldes1831 August 13, 2009 7:16 PM PDT
Great. I think I'll put this in my online dating profile: "Help me reach my goal of 38 home runs."
Reply to this comment
by ChrisMatyszczyk August 13, 2009 7:19 PM PDT
@cvaldes1831,

An excellent idea. Give your dating a sense of altruism. Who knows what might come of it?

Please let us know how it works out for you.

Chris
by wohdin August 13, 2009 7:43 PM PDT
....This sounds far too xkcd for my tastes.

It's cute, though.
Reply to this comment
by ChrisMatyszczyk August 13, 2009 8:41 PM PDT
@wohdin,

Oh, go on, try it.....it might work.

Chris
by Excelcior August 15, 2009 9:27 AM PDT
Hahaha that's exactly what I thought! love that comic...
by Orion Blastar August 13, 2009 7:44 PM PDT
That is a lousy way.

Go by content of character, personality, intelligence, compassion, kindness, and other traits you are looking for in a woman. If you use math you will end up marrying a woman you will divorce later and take over half your money because your personality conflicted her personality. You want to pick a woman you can get along with, instead of going by math or looks, which can be deceiving.

Marriage is a partnership or more precise a team, if you both can get along as a team, you don't want to get married. If you marry someone who isn't a partner or a team player, then the marriage becomes one sided and is doomed to fail.
Reply to this comment
by Orion Blastar August 13, 2009 7:45 PM PDT
Er should have read if you can't get along as a team, you don't want to get married. Typo I forgot the n't.
by ChrisMatyszczyk August 13, 2009 8:41 PM PDT
@Orion Blastar,

You sound like a very wise man. I'm assuming you are happily married too. Which is a fine and precious rarity.

Thank you for sharing your expertise.

Chris
by mbenedict August 13, 2009 8:56 PM PDT
Or maybe this is where the "sunk-cost fallacy" comes from. Haha.
by PandaSage1221 August 13, 2009 9:10 PM PDT
You're kind of missing the point. Content of character, personality, intelligence, etc. would be the factors that you use to determine what exactly is "best" and which one to pick. (Or whatever factors personally are "best" to you.)

And besides, the whole thing is based on the assumption that you have to marry one of 100 people, and must choose yes or no immediately after interviewing them. It's purely a math thing. I think it's pretty cool.
by jcbsmom August 16, 2009 6:31 PM PDT
You're missing the point, it's not saying marry number 38, it's saying don't marry number one. It was saying 37 candidates and then marry the next best one.You still have to pick and choose, but besides, you're not going to date just anyone out there anywawy. Don't worry, you can still go with this theory and still have a romantic idealism. Really it's what all of us have been doing for years, it's just putting actual numbers to it.
by Len Bullard August 18, 2009 2:30 PM PDT
It's easier than that. Date enough to get past the insane curiosities (hmmm.... do blondes taste better or only have more fun). Then marry the one who is most in love with you. Most people do it the other way around and it's a mistake. Now this is assuming you get to choose which for most men is never the case, so if you are choosing and you are male it is best if you select from the pre-selections offered.
by paulej August 13, 2009 8:06 PM PDT
Oh, but this does not work. Choosing the "next best one" is entirely subjective...
Reply to this comment
by cmdrzndr August 13, 2009 8:19 PM PDT
The 10/100/1000 divided by e thing is hardly a new idea, even in the field of romance. Thomas Fink uses e to describe which restaurant to pick for a first date in "The Man's Book," page 47/39 (2007/2008 UK editions). Applying the same principle to the actual women chosen isn't much of a stretch from there, so I see no way in which this "38th out of 100 is right for you" is novel.

But, if you want to find other ways math influences a man's life, check out that book or another publication of his, "The 85 Ways to Tie a Tie."
Reply to this comment
by cmdrzndr August 13, 2009 8:22 PM PDT
A correction to my comment: that pagination refers to the 2006 and 2007 UK editions, respectively, not 2007/2008 as I first wrote.
by mbenedict August 13, 2009 8:53 PM PDT
Please, no one is suggesting this is new.

As the article states, the probability was first calculated by Gilbert and Mosteller. They did so in 1966, long before Fink's book. I hope Fink gave them proper credit.

By the way, the New Scientist article got the formula wrong. It's not N divided by e, but actually (N-1/2)/e+3/2. So you need to pick the next best after 38 instead of after 37.
by mbenedict August 14, 2009 5:13 AM PDT
Hmm nevermind the formula above, it's actually computing the upper bound of the result, not the result itself (though both numbers will be the same for say N < 10000, which is a lot of dates).
by godnchicn August 13, 2009 8:25 PM PDT
This refines my application process for a mate significantly!
Reply to this comment
by ChrisMatyszczyk August 13, 2009 8:39 PM PDT
@godnchicn,

I am here to make your life easier. Please let us know how it goes.

Chris
by pcdude2143 August 13, 2009 9:13 PM PDT
This is so dumb! I was thinking as I read this article, " please don't be him, please don't be him". Scroll down to the bottom, grr, it's HIM. Something about your choice of topic is always bizarre. It always feels a little less than tech-related.
Reply to this comment
by peacelovemath August 17, 2009 12:22 PM PDT
Just because you don't like an article doesn't mean it's dumb. As a mathematician, I find it to be a very fun thought experiment, while at the same time understanding that it is ridiculous to apply such a rigid theory to something as ethereal as romance. It's not constructive to comment on articles just to voice your dislike, unless you have a specific reason for disliking it that can be generalized to the wider audience of c|net readers.
by pcdude2143 August 22, 2009 9:06 AM PDT
I was trying to say that he seems to pick topics that have very little to do with technology and are probably better off somewhere else. It's not that they're not INTERESTING, it's just dumb that it's on a tech news website.
by xim1970 August 13, 2009 9:22 PM PDT
Honest to G*d, are any of those dorks married??? Ever been married??? Dated anyone??? Been in a relationship that wasn't in their heads??? Oh, my G*d, I actually read this thinking there might be a benefit to "the way of the math!" LOL!
Reply to this comment
by GoOwls August 18, 2009 11:15 AM PDT
OMG??? Really??? How Interesting??? I actually read your comment thinking there might be a benefit to "the way of the triple question mark!" LOL!
by Vegaman_Dan August 13, 2009 9:34 PM PDT
That's odd... I thought this was CNET, a site dedicated to information technology.... not a checkstand pulp title like the National Enquirer or Oprah!

Perhaps we need some stories on the best diet plans or how to impress your man as well to get the full effect?
Reply to this comment
by Byestander August 13, 2009 9:39 PM PDT
Probably works as well as any other method.
On the 15 Sept "Single" a documentary film will be released.
May have a few answers as well !
Reply to this comment
by edub617 August 13, 2009 10:04 PM PDT
The statement, "The "Discard 50 then Choose the Next Best" method apparently gives you a 25 percent chance of choosing the best candidate" is wrong. I'm not sure the exact percent without sitting down to do some math, but I'm 100% confident that it is greater than 25% and less than 50%, I'm 95% confident that it is between 34-38%. The second best answer does not have to be in the first 50 interviews to pick the best mate. For instance, if the 1st and 2nd best answers are not in the first 50 interviews (but the 3rd best is) then there is still a chance that you'll interview the 1st best person before the 2nd best person (like if the 1st best person is the 51st interview you make). Even in the worst case scenario, if the first 50 interviews happen to be the worst 50 out of the pool of 100, but the best person is the 51st interview, then you still picked the best person.
Reply to this comment
by mbenedict August 14, 2009 4:54 AM PDT
Yes you are right, the actual probability is 35.21%, which is not significantly worse than if you had stopped at 38 then next best (37.10%).

To get 25% you either had to pick after the 12th date, or choose the next best after 71 "samples"... which could be a lot more fun.
by mstickles August 17, 2009 8:49 AM PDT
One thing I found interesting is that, if you "lower your standards" (i.e., consider picking someone a little less than "the best" as still being a success), then you need to lower the number of "discards" to maximize your odds.

If only "the best" is acceptable - 37 discards, 37.10%
Either of the best 2 - 30 discards, 52.03%
Any of the best 3 - 26 discards, 60.61%
Any of the best 5 - 21 discards, 70.52%
Any of the top 10 - 14 discards, 81.68%

Sure, this whole analysis depends on numerous highly questionable assumptions. But, hey, the math is fun!
by August 14, 2009 1:15 AM PDT
Surely the formula goes:

pwi >= nc - (smi - er)

Where pwi = Poetential wife's income
nc = cost of New Car
smi = Stud Muffin's* Income
er = Engagement Ring

* that would be me, if I was on the market.
Reply to this comment
by sythara August 14, 2009 1:39 AM PDT
AHAHAHHAAHHA

Wow I haven't laughed this much in a while.

an awesome answer right there.
by Mendz August 14, 2009 2:00 AM PDT
Excellent! This one is for the books. Learn from here scientists!!! :-D
by willdryden August 22, 2009 8:50 PM PDT
Is that smi per hour, day, week, month or year? Also I need more info on what type of car.
by PhuQua August 14, 2009 4:02 AM PDT
Maybe I should try this on a speed-date event.
Reply to this comment
by radiofreefred August 14, 2009 6:50 AM PDT
I just finished playing a professor of statistics in a Minneapolis Fringe Festival play called "33 Dates." It was based on the Sultan's Dowry problem. We used a universe of 90 potential partners to get to 33 as the sample size. The framework allowed us to illustrate a number of particularly bad dates!
Reply to this comment
by cptnproton August 14, 2009 1:17 PM PDT
I read recently about a study that indicates that the best mates we encounter are usually among the very first (if not the first) few we meet, and that reaching that level of satisfaction again is difficult. I do not know if it's perception or emotions, but it seems plausible to me. Just that this may be mathematically hard to describe.
Reply to this comment
by mareserinitatis August 14, 2009 3:37 PM PDT
I used math to choose my life partner: that is, I married someone I met in a math class.
Reply to this comment
by rchaswms August 14, 2009 4:54 PM PDT
Great article. Only problem is you have to figure out how to bound the domain of potential dates. You arbitarily choose 100. What man (or woman) would suggest s/he had only 100 possible dates out of everyone on Earth? Not sure there is a wo/man alive who can do that without busting his/her ego... Let's see, 3.2 billion men (or women) on the planet, 15% are under 18, another 15% are over 60... leaves 1.4 billion. About 75% are married or unavailable. Leaving 400 million. This is where it gets tough: about 1 in 30 say yes when I ask them for a date, yielding 13 million potential dates. So many dates... so little time! The articles says date 37% of them (to experience the full range of the variability of marriagable women...) this means 4+ million dates. Speed dating with no breaks for sleep at 10 minutes per date it would take me 40+million minutes or about 76+ years (check my math here). Then I can marry the next one that I deem best.... and sleep! There's an arithematician's take on a mathematician's theory!
Reply to this comment
by sejica August 20, 2009 1:25 PM PDT
Just linked here by a friend, and I agree with you rchaswms. As you point out, time is likely to be the limiting factor, not population. Given this, it seems more functional to calculate the dating age range, divide by 2.72 and you will know when you should just grab the next guy/girl who comes along that is best. Assuming dating starts at around 14, or highschool in the US, and the average life-span is 77 in the US, then that gives 63 potential dating years / 2.72 = 23.16 years into dating, or 39. So, after 39, marry the next person who comes along who is 'the best'. Children, as usual complicate things. Assuming you want biological children after you marry, then the upper limit on dating age for women is more like 35, giving only 21 potential dating years / 2.72 = 7.72 years into dating, or 22. So, women, marry the next person who comes along after 22 who is 'the best'.
by Unphased August 14, 2009 6:34 PM PDT
The only issue with such simplistic probability calculations is that it fails to take into account the usual strategy people hold with building relationships. They normally cruise through relationships until they think they can take it further. By giving them this hard number, your influencing the psychological factor which is their predisposition to hook up vs. their tolerance of the relationship. By lowering their likelihood of engaging in a real relationship for the first 37, you're missing out on all that experience, for one, and the likelihood of finding someone you genuinely like gets lowered.

Nature has been developing mating strategies far longer than anything else, and the natural attitude toward courtship has been fine tuned to optimization, probably in ways we have yet to understand. The more rationally and logically you apply yourself in these situations, the far more difficult it becomes.
Reply to this comment
by ferricoxide August 14, 2009 8:38 PM PDT
I see that 37 and all I can think is, "did Kevin Smith read this before Clerks?"
Reply to this comment
by nicmart August 14, 2009 9:01 PM PDT
Researchers have found that arranged marriage are just as likely to succeed and offer contentment as are chosen marriages. So, I think this is likely to be bunk.
Reply to this comment
by soutrik93 August 16, 2009 7:00 AM PDT
no sir, the real "bunk" is the statistic you gave us. The fact is, the vast majority of arranged marriages are from countries like China and India, where up until recently, divorce wasn't in their vocabularies. So if you're a couple from a conservative family background, living in a conservative country, OF COURSE your marriage is more likely to stay together than a choice marriage somewhere like the US or the UK. It doesn't mean the arranged marriage is happier at all.
by soutrik93 August 16, 2009 7:03 AM PDT
oh i also forgot to mention that arranged marriages go against the natural system of mating and courtship used by every single animal on the face of the planet.
by mbenedict August 16, 2009 7:54 AM PDT
Soutrik: sorry but your postings have a hint of prejudice towards Chinese or Indian cultures. Arranged marriages today aren't forced marriages. Both the bride and groom still choose whomever they'll marry. They love each other just like in any marriage.

The basic difference is, the families play match-maker (sometimes with outside help) according to what they deem to be a "suitable" criteria. Usually that means short-listing candidates from the same religion or locality, and similar socio-economic background.

The potential bride & groom are then introduced, typically in an informal setting. I guess it's like a "date". They each can say no. If the chemistry isn't there, the marriage doesn't happen. Then the process simply repeats, with each family seeking other candidates. So it's not so different from weddings in Western cultures, but instead of using match.com to find a date, the whole family gets involved.

Forced marriages are an entirely different concept. But there are forced marriages in any culture. It even happens in the US and the UK, often due to economic pressures.
by GoOwls August 20, 2009 10:15 AM PDT
"...the families play match-maker (sometimes with outside help) according to what they deem to be a "suitable" criteria...The potential bride & groom are then introduced, typically in an informal setting...If the chemistry isn't there, the marriage doesn't happen. Then the process simply repeats, with each family seeking other candidates. So it's not so different from weddings in Western cultures, but instead of using match.com to find a date, the whole family gets involved."

And really families and friends play matchmaker in Western cultures as well, just not always as directly. Friends and relatives set up people all the time, even if its just introducing the two briefly and hoping the "spark" is there. Also divorce hasn't become untaboo until recent times in Western culture as well. Even now some couples do not see it as an option because of religious beliefs. Whether we like it or not as society stands now people have their noses in each other's love lives for better or worse.
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About Technically Incorrect

Chris Matyszczyk brings a fresh and irreverent perspective to the tech world in his CNET blog, Technically Incorrect. He is a member of the CNET Blog Network and is not an employee of CNET.

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