I'm sorry, bad mathematics vexes me.
Ikpeip wrote:Maybe a solution would be to determine the damage done to a structure by taking the square root of (the raider's phlegm divided by 10), and then multiplying the result by 10?
P=Phlegm
So... You mean SQRT(10P)?
Ikpeip wrote:That way each additional point of phlegm would be less useful than the last (even though it takes more to obtain).
Actually the increase is almost arithmetic, so each point of phlegm is equally useful (within values obtainable by players).
It is worth noting that such sequences do not converge (at least without very large numbers). That is going to cause problems in a game like salem no matter what you do.
Edit : For those interested, the derivative of the above is 0.5(SQRT(10)/SQRT(x)) and the second order derivative is -0.25*(SQRT(10)/(X)^(3/2)).
x , d/dx, damage
1, 1.581, 3.162, -
100, 0.158, 31.623
200, 0.112, 44.721
300, 0.091, 54.772
400, 0.079, 63.246
4000, 0.025, 200
So a titan with 400 stats is doing double damage to walls than a player with 100 stats. Every extra 100 is adding roughly 1/3. The second order derivative is a very small number indeed above 100. So the real picture is geometric for a number below 100, and almost arithmetic above.