Formulas for Most Efficient Point Collecting Strategies HELP
Posted: Tue Jun 26, 2012 11:04 am
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?
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?