Tuesday, December 27, 2005

Image hosted by Photobucket.com Ayt ya all, thiz iz the shiznit on da Game

lets muck around with some game theory now. lets try to address a problem troubling niggers and beotches the world around: to play or not to play

seen in a certain way romance really is a game, one about math really. playin is essentially what is termed a prisoner's dilemma


Figure 1


figure 1 is called a pay-off matrix. the numbers try to quantify how much benefit the person gets out of the interaction. a 2 would mean a "win" situation, a 1 is "could be better" and a 0 means "loser"

non-playahs by definition look for commitment and offer commitment. therefore if X chooses not to be a playah the best outcome for him would be if he met Y and Y was also a non-playah. this is the lower-right box in the matrix. thus it would be a "win-win" situation. they are in the hizzie

playaz on the other hand would not be better off if they met a fellow playah. nobody likes to be played, even playaz. so if X chose to be a playah and she encountered Y who also happened to be a playah, they might have fun but eventually leave each other unsatisfied because of mutual playin, as can be seen in the upper left box. there fore the situation for both is "could be better"

if a playah meets a non-playah, the playah is the big winner hands down, and the non-playah is the sucker. you can see this in the upper-right and lower-left boxes where the playah "wins" and the non-playah gets whippt fo' shizzle

so if this is the human condition with respect to how people get some, whats a nizzle to do? according to the nash equilibrium (john nash, the beautiful mind dude), people will go with the alternative where, on average they get the most benefit. looking at our matrix, being a playah you have an expected value of 1.5 for each game, while non-playaz get only an average of 1. therefore the equilibrium point would be the upper-left box where both try to play each other. its an equilibrium because if either one changes strategy they become losers, so they would tend to stick to being playaz.

and so if the world really is about being selfish and looking out for your own good, everyone would probably be playaz because, it seems, that is the shiznit

is there a better solution? well actually game theory offers us other options. one strategy involves being nice while the other involves dice, but i'll be elabiratizzilating da mo' fizzy sumthingz later

meanwhile, go gizoogle sumthin

2 comments:

-=Ninna19=- said...

insightful!

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