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Whom should you Date?

People getting into relationships a lot now a days.
So one question arises in my mind. Why do some people breakup soon while others enjoy a long term relationship.
Should one date a popular person or someone who's not popular.
NOTE: Following are just my observations.
One thing we might have observed that popular people have a lot of choices. A beautiful girl in college is also a popular one. Almost every guy would wish to go out with her. So that girl has many options.
Lets consider a situation:
A girl 'X' is very popular and a guy 'Y' is average looking, not at all popular, stays alone most of the time but has crush on this girl like every other guy in the college. 'Y' wants a long term relationship and no other girl ever talks to him other than 'X'. 'X' is not only popular but also humble and polite and a good friend of 'Y'. So should 'Y' ask her out?

See, clearly 'X' has a lots of other options beside 'Y' but 'Y' doesn't have any other option. let's say, since both were good friends, 'X' agrees to go out with him and both come into a relationship. if 'X' breaks up with 'Y', 'Y' loses a good friend and also would regret all his life for this.
Now let's analyze, should 'Y' date 'X' or choose a less popular girl of his type.

  • Let's assume that 'X' has 99 other options except 'Y' whom she could date because all the guys want to go out with her. And 'Y' doesn't have any option other than her. 
           Probability of choosing 'Y' out off 100 will be 1/100 = 0.01
 If they are very good friends and might stay in a relationship for a long time then lets increase this probability by 100% which is 0.02.
And probability of you choosing her is 1.
So 1-0.02 = 0.98 = s (say)

  • Now say a less popular girl 'G' who has only 10 options. 'Y' again has no other options. So this time the chances of choosing 'Y' is 1/10 which is 0.1. and again taking the same conditions as above it becomes 0.2.
          Probability of you choosing her is 1.
          So 1-0.2=0.8 =s
So you can see that if you date a popular girl, you might be alone soon. there are more chances of having a long term relationship with a less popular girl as in the above example. (Considering the assumption that you are not at all popular). 

  • If you are popular too, then you too have options. Say the girl and you have both same number of options (say 10). This time the probability of she choosing you is 0.1 and you choosing her is 0.1. 
          So 0.1-0.1 = 0 = s

Therefore from above analysis, lower the value of variable 's', higher are the chances of you being in a happy and most probably long term relationship.
Let's give a name to the variable 's', I will call it 'differential relationship factor'. 
  So its better for 'Y' to control his feelings and not ask 'X' out if he is not interested in a short term or casual relationship.

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