So again lets go back and think about the goal!?
I say the goal is, to reach the maximum available amount of satisfaction for the whole system. Satisfaction for the whole system is computed by adding the satisfaction amounts for each individual point. Though now the word 'satisfaction' has to be determined. What does that mean?
I say a point is more satisfied if it is bigger! How a point can get bigger? Of course, each point get bigger by eating a bonus. How a point can eat a bonus? by moving. Also as I mentioned in the previous post each point creates bonus by moving, these bonuses actually decrease the point's weight. So a point prefers to move in a direction that there are more bonuses! I mean if a point wants to move in a direction that there is no point, it will just lose weight, but if there are enough points that worth moving it should prefer to move. So after running the system for a while I guess the density and weight of the points will be higher around the places with a higher density of bonuses.
Now lets start thinking about more specific conditions.
Suppose the density of bonuses is constant all over the paper. Suppose there is a very big point and some small points. What will happen?
Lets imagine all the points start moving with a similar speed. The amount of bonuses the bigger point eats in an interval should be greater than the bonus eated by smaller points. So the bigger the point is the faster the growth rate will be. Also when the bigger point moves more bonus is produced which maybe if I were a smaller point I could just keep following the bigger one. because I would be sure that always there will be enough bonus created for me by that bigger one. There maybe cases that there is no bonus around, and the bigger one is moving to find bonuses, if I am a smaller point and following that big one, even if it is not eating it is available for me to eat because it is moving and producing bonus.
Friday, December 15, 2006
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2 comments:
"I say the goal is, to reach the maximum available amount of satisfaction for the whole system. Satisfaction for the whole system is computed by adding the satisfaction amounts for each individual point."
whose goal is this ?! your goal or points goal ? I'm assuming its your goal based on the previous posts.
:-?
If this is the case.Having one point with all possible bonus (The biggest possible point) can be a realization of your goal.
I don't like it :(. I'm not saying I want equality as a part of the goal. I just want a better goal to reach.
BTW it's you model you can be as unfair as you want.
Also you can't say "A point is never satisfied. It always wants more." anymore. Because a point can't get bigger than paper, can it ?
I agree. I don't know how I should define the goal! This a problem! I would like to hear more about your ideas on what the goal should be:)
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