Gay Bar Combinatorics
Nov. 7th, 2008 10:17 amHere's an interesting mathematical problem.
Imagine that patrons of a gay bar are either bearded (B) or shaved (S). Each person either likes beards on other men (L) or dislikes them(D). So there are four kinds of people - BL, BD, SL, and SD, all occurring at some rate. These two qualities are probably not independent of each other, nor completely correlated.
Assume that your chance of getting laid is a function of the number of people you're mutually compatible with. A BD would get along with a SL, while having only a one-way attraction with a SD or BL, and no attraction at all with another BD. And so forth, through all sixteen glorious combinations.
The question is, given the rates at which these four kinds of people attend the bar, is it an advantage for a person who likes beards to grow one, or vice versa? In other words, in order to get laid, should one become the image of what you are attracted to, even if that isn't what you would normally choose yourself? Or should you do the opposite? If large numbers of people make such a choice, does the population converge to all BL and SD over time? Maybe it could change to all BD and SL if the initial conditions were different.
It's a surprisingly complicated problem and I haven't been able to get my head around it very well. It's fortunate that sub-optimal cruising strategies are still reasonably effective.
Imagine that patrons of a gay bar are either bearded (B) or shaved (S). Each person either likes beards on other men (L) or dislikes them(D). So there are four kinds of people - BL, BD, SL, and SD, all occurring at some rate. These two qualities are probably not independent of each other, nor completely correlated.
Assume that your chance of getting laid is a function of the number of people you're mutually compatible with. A BD would get along with a SL, while having only a one-way attraction with a SD or BL, and no attraction at all with another BD. And so forth, through all sixteen glorious combinations.
The question is, given the rates at which these four kinds of people attend the bar, is it an advantage for a person who likes beards to grow one, or vice versa? In other words, in order to get laid, should one become the image of what you are attracted to, even if that isn't what you would normally choose yourself? Or should you do the opposite? If large numbers of people make such a choice, does the population converge to all BL and SD over time? Maybe it could change to all BD and SL if the initial conditions were different.
It's a surprisingly complicated problem and I haven't been able to get my head around it very well. It's fortunate that sub-optimal cruising strategies are still reasonably effective.
no subject
Date: 2008-11-07 06:50 pm (UTC)BL 0.35
BD 0.05
SL 0.1
SD 0.6
That is... the majority of guys are beardless and dislike beards on other guys. I think it would be rare to not have a beard, but like them on other guys, unless you are a bottom who is looking for a biker daddy, or for some reason such as work, unable to grow one yourself.
So, it's much better to not have a beard (with 65% of the community liking you: BD+SD = 0.65). Otherwise, with a beard, you'll only get 35% of the population.
But I really like having a beard... and I like guys with one. Put me strongly in the DL category!
no subject
Date: 2008-11-07 06:53 pm (UTC)BL 0.7
BD 0.05
SL 0.249
SD 0.001
Note the small size of beard dislikers. Why would you go to the Lone Star if you don't like bears? For this bar, it's much better to have a beard (BL+SL = 0.949 or 95%80%). Plus, you'll probably get laid, as well.
no subject
Date: 2008-11-07 07:18 pm (UTC)I could imagine that there might be places where bearded/shaven is sort of like gender, with overwhelmingly BD/SL pairings, and would remain that way because it would be a disadvantage for individuals to switch. Butch/femme in Latin American countries is arguably like that.
no subject
Date: 2008-11-07 07:34 pm (UTC)no subject
Date: 2008-11-07 07:44 pm (UTC)no subject
Date: 2008-11-07 08:44 pm (UTC)Of course, that's ignoring the psychological aspects of B/S. Some people won't change to please others.
no subject
Date: 2008-11-07 08:50 pm (UTC)no subject
Date: 2008-11-07 08:53 pm (UTC)no subject
Date: 2008-11-07 09:13 pm (UTC)no subject
Date: 2008-11-07 09:25 pm (UTC)no subject
Date: 2008-11-07 11:04 pm (UTC)Of course, trying to generalize from ME would lead to a massively erroneous model for a wider population....
no subject
Date: 2008-11-07 11:40 pm (UTC)http://uwf.edu/wlees/CREWPHOTOS.html
no subject
Date: 2008-11-08 03:19 pm (UTC)Presume that L or D is a binary and invariant quality.
The property of a given person wanting to get laid, B or S is not stated as a preference/like property, it's simply stated as a current state.
Given that, for a single individual in a given population of L and D to increase their chances of getting laid they'd simply become B or S as appropriate. This presumes there's a way to determine L or D; perhaps presume people flag one way or the other.
Given these inputs and the ability to instantly become bearded or shaven, then system would converge instantly to the optimum laid case.
I'm sure that's not the system you were thinking of. It's more complicated than that. Change the presumptions a bit and the complex system becomes more interesting:
Presume a fixed population with initially no knowledge of a given person's L/D.
Presume no flagging.
Presume a limited ability to discover L/D in another person - one that is not influenced by your current B/S state. Presume also an infinite memory to recall a given person's L/D.
Presume still the ability to instantly be bearded or shaven.
It will take some number of rounds for the system to converge but it should still optimally converge but it's still not terribly realistic.
Presume the system is not closed and at any given round some percentage of the population is replaced at random with a different L/D. I don't believe the system converges even in astable state.
However, if you adjust the system so population is fixed but there are a number of locales, I suspect you'll end up with some astable convergence for different local optimums.
The above is at least testable using cellular automata. I don't have the clue to be able to predict system convergence from the above properties without running the simulations. :-)
Even more frustrating is that:
- People don't have perfect memory.
- L/D aren't usually binary qualities. I might like a guy with a little fuzz while you might prefer guys that look like billy goats. Our preferences are probably ranges with perhaps notch points.
- B/S similarly aren't binary qualities.
- You can adjust your state to S pretty much instantly but B takes time and thus would bias convergence of the system.
- People have a personal preference for B/S. Adjusting for that degree of preference in the CA would be interesting.
- Mobility among locales will bias people with low personal preference B/S only if they have knowledge of the current state of the locale.
This might be amusing to model at some point.
AAKK!
Date: 2008-11-10 07:06 am (UTC)no subject
Date: 2008-11-11 02:16 am (UTC)