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Beckytheblondie wrote:Mathematician help sought.
Seeking to solve: Asymptotic point maximum for a given player given the constants of win percentage (on a map/settings), points won and lost, and average opposing player score.
Goal: To maximize point collection to reach asymptotic peak.
Example: Beckytheblondie
Starting Points (BP): 3014
Opponent Average Points (OP): 1750 (Speculation)
Points Won (PW): (OP/BP)*20 = 9.87 that would be weighting your W%
Points Lost (PL): (BP/OP)*20 = 5.16 that would be weighting your L%
Win Percentage on specific map or settings (W%): .85
Points Gained (PG): (PW)*W% - (PL)*(1-W%) = 9.87-5.16 = 4.7
New Becky Points Set: BP1 = BP+PG = 3018.7
New PW (PW1): 9.86
New PL (PL1): 5.17
.....
solve for {B1...Bn}
Asymptote = 4166
But how did I get to that value? I literally just copied and pasted the formula over 11,000 times to find when PW=PL
Can a formula like this be used to calculate what a players maximum point total could be given constraints of only W% and OP?
Can I gain more points by playing stronger players and decreasing my W% or by playing weaker players and increasing my W%?
Can I gain more points solely by finding a map that I can win a percentage more of the time? Is that all that is needed?
Thoughts? Additions?
betiko wrote:the more you win rank the more you will need to fight stronger players to keep the same point gain assuming the win% remains the same.
But the higher the rank of the oponent, the most likely your your win% decreases. solution: boost your skills.
And win% can no way be considered as a constant..
Beckytheblondie wrote:Mathematician help sought.
Seeking to solve: Asymptotic point maximum for a given player given the constants of win percentage (on a map/settings), points won and lost, and average opposing player score.
Goal: To maximize point collection to reach asymptotic peak.
Example: Beckytheblondie
Starting Points (BP): 3014
Opponent Average Points (OP): 1750 (Speculation)
Points Won (PW): (OP/BP)*20 = 9.87
Points Lost (PL): (BP/OP)*20 = 5.16
Win Percentage on specific map or settings (W%): .85
Points Gained (PG): (PW)*W% - (PL)*(1-W%) = 9.87-5.16 = 4.7
New Becky Points Set: BP1 = BP+PG = 3018.7
New PW (PW1): 9.86
New PL (PL1): 5.17
.....
solve for {B1...Bn}
Asymptote = 4166
But how did I get to that value? I literally just copied and pasted the formula over 11,000 times to find when PW=PL
Can a formula like this be used to calculate what a players maximum point total could be given constraints of only W% and OP?
Can I gain more points by playing stronger players and decreasing my W% or by playing weaker players and increasing my W%?
Can I gain more points solely by finding a map that I can win a percentage more of the time? Is that all that is needed?
Thoughts? Additions?
Doc_Brown wrote:Your ultimate score will then be: b sqrt( w / (1-w) )
Beckytheblondie wrote:King_Herpes City Mogul Field Marshal +7060 2358 from 2446(96%)
Doc_Brown wrote:Doc_Brown wrote:Your ultimate score will then be: b sqrt( w / (1-w) )
So now you can analyze this function to pick an optimal strategy. If you play opponents with higher points, your win percentage will drop. Let's model this using an error function (which is related to an integral of a Gaussian, so it should be a decent model).
w = 0.5 + 0.5 Erf( (3000-b)/1750 )
This basically means that if your average opponent has a score of 3000, you'll win 50% of the time. Your win percentage goes up to 84% when his score is 1750 and drops to 21% when his score is 4000. You can plug this equation for win percentage into the above formula for your eventual score, take the derivative with respect to b, set the result to zero, and solve numerically. This gives you the optimal score of your opponents. I get a value of 1210 for your opponents score, which gives you a win percentage of 92.6% and an eventual score of 4280.
lord voldemort wrote:Learn the ins and outs of how to farm against low ranks. Search for any and all technicalities.
Beckytheblondie wrote:Mathematician help sought.
Seeking to solve: Asymptotic point maximum for a given player given the constants of win percentage (on a map/settings), points won and lost, and average opposing player score.
Goal: To maximize point collection to reach asymptotic peak.
Example: Beckytheblondie
Starting Points (BP): 3014
Opponent Average Points (OP): 1750 (Speculation)
Points Won (PW): (OP/BP)*20 = 9.87
Points Lost (PL): (BP/OP)*20 = 5.16
Win Percentage on specific map or settings (W%): .85
Points Gained (PG): (PW)*W% - (PL)*(1-W%) = 9.87-5.16 = 4.7
New Becky Points Set: BP1 = BP+PG = 3018.7
New PW (PW1): 9.86
New PL (PL1): 5.17
.....
solve for {B1...Bn}
Asymptote = 4166
But how did I get to that value? I literally just copied and pasted the formula over 11,000 times to find when PW=PL
Can a formula like this be used to calculate what a players maximum point total could be given constraints of only W% and OP?
Can I gain more points by playing stronger players and decreasing my W% or by playing weaker players and increasing my W%?
Can I gain more points solely by finding a map that I can win a percentage more of the time? Is that all that is needed?
Thoughts? Additions?
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