oEtG Forum

Stackable evasion shield

Lost in Nowhere

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Basically, like Repulsor, except that each stack increases evasion chance rather than the damage reduced. Probably 5-10% each for 1-3 of some quanta, and probably either having a fixed cap or working multiplicatively so as to not make it 100% evade.
As for element, I have no idea.


Lost in Nowhere

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So, more details:
 :water shield, costs 3|5, each stack adds a 15% evasion chance, stacks multiplicatively. Like Repulsor, upped adds two stacks.


OdinVanguard

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If you want to stack miss chance multiplicatively, (e.g. rate1 and rate2) then use the formula:
miss rate = 1 - (1-rate1) * (1-rate2)

so in the case of a stacking shield (which has a miss chance of R0 at first stack):
R(N) = 1 - (1-R(N-1)) * (1-R0)
this is a recurrence relation which solves to (thank goodness for wolfram alpha its non-homogeous and a surprising pain to deal with):

R(N) = 1 - (1-R0)^n

For reference here is a table on the miss rate chance based on the %miss per stack after a given number of stacks:


        5.00%   10.00%   15.00%   20.00%   25.00%   30.00%
1   5.00%   10.00%   15.00%   20.00%   25.00%   30.00%
2   9.75%   19.00%   27.75%   36.00%   43.75%   51.00%
3   14.26%   27.10%   38.59%   48.80%   57.81%   65.70%
4   18.55%   34.39%   47.80%   59.04%   68.36%   75.99%
5   22.62%   40.95%   55.63%   67.23%   76.27%   83.19%
6   26.49%   46.86%   62.29%   73.79%   82.20%   88.24%
7   30.17%   52.17%   67.94%   79.03%   86.65%   91.76%
8   33.66%   56.95%   72.75%   83.22%   89.99%   94.24%
9   36.98%   61.26%   76.84%   86.58%   92.49%   95.96%
10   40.13%   65.13%   80.31%   89.26%   94.37%   97.18%
11   43.12%   68.62%   83.27%   91.41%   95.78%   98.02%
12   45.96%   71.76%   85.78%   93.13%   96.83%   98.62%

I drew the table out to 12 stacks because double draw arena decks could get that many going with single stacking of the shield... or if we go with the repulsor set up where upped gives 2 stacks.
At 12 stacks anything past 10% to 15% base per stack is going to be nigh unhittable.

Unfortunately, a miss chance of 10% to 15% is pretty negligible in terms of game play, so players would need to be able to stack the first couple easily to make the shield worthwhile...

I'll leave further analysis up to others.
« Last Edit: February 27, 2015, 11:22:19 pm by OdinVanguard »