## [EV] Vanilla Multiball

This forum is for discussion of individual Open Setups, including theoretical balance.
Gamma Emerald
Survivor

Joined: August 09, 2016
Location: Under the sea
Pronoun: He
What would be the proper distribution for mountainous multi ball, starting at around eleven?
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mith
Godfather

Joined: March 27, 2002
Location: Plano, TX
Pronoun: He
Finally put together a script to do this for higher counts. These are the results with the 1:1:2, 1:1:3, and 2:2:2 improvements included (I'm including the first setup with EV > 1/3, the closest setups to EV = 2/5 and EV = 3/7, and the last setup with EV < 1/2):

2:2:9 (33.6%)
2:2:15 (40.2%)
2:2:18 (42.9%)
2:2:28 (49.5%)

3:3:20 (33.8%)
3:3:30 (40.0%)
3:3:36 (42.9%)
3:3:56 (50.0%)

4:4:32 (33.7%)
4:4:48 (39.9%)
4:4:57 (42.7%)
4:4:88 (49.9%)

5:5:46 (33.5%)
5:5:69 (40.1%)
5:5:82 (42.9%)
5:5:125 (49.9%)

mith
Godfather

Joined: March 27, 2002
Location: Plano, TX
Pronoun: He
I think my next run of the script is going to be something like Jungle Republic - multiball setups where each group plays with "Vanilla Variant" rules but not necessarily the same rule.

mith
Godfather

Joined: March 27, 2002
Location: Plano, TX
Pronoun: He
One interesting thing I found generating the above numbers is that for a general setup X:Y:Z where 0<=Y<=X, town EV is not necessarily maximized at Y=0 or Y=X. For example:

2:0:9 - 0.3520923521
2:1:9 - 0.3790586343
2:2:9 - 0.3362550955

This isn't universally the case though:

2:0:28 - 0.5730082052
2:1:28 - 0.5546413745
2:2:28 - 0.4952180666

shos
Survivor

Joined: November 28, 2011
Pronoun: He
Hey mith, any chance you can hand over the script or perhaps run it yourself over the variations of this setup? viewtopic.php?f=115&t=67712
In post 836, Lucky2u said:
Rule # 5h05: players should not attempt to use or manipulate the mod for any purpose.

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