Disclaimer – The results expressed here could be incorrect – I’ve testing my software and it lines up with CVCX results, however it’s always possible there is some bug I couldn’t find especially when it comes to simulating multiple players, as I have few statistical baselines to compare to. Nevertheless, I wanted to share these results in the hope someone could try to replicate them.

That out of the way, I built card counting simulation software to see if I could find out anything interesting about the game of blackjack. Here are some interesting results (200 million rounds were simulated in all sims):

Playing 1-2 hand spread alone vs. gamblers vs. with another counter:

Parameters:

Philly rules (6D, S17, DAS, nRSA, LS), 5D Pen, .5 deck estimation, (most) BJA extended deviations, 75 RPH

1x$25 (TC -3 and below), 1x$25, 1x$25, 1x$25, 2x$25, 2x$50, 2x$100, 2x$200, 2x$250, 2x$300 (TC 6 and up)

Alone:

EV: $76

SD: $1110

ROR: .20%

N0: 211

With 1 Gambler:

EV: $81

SD: $1098

ROR .12%

N0: 184

With 4 Gamblers:

EV: $86

SD: $1079

ROR: .06%

N0: 158

2 Counters:

EV: $66

SD: $1009

ROR: .15%

N0: 232

Discussion: It appears that if you are getting the same RPH in all situations (which you likely are not), then playing with basic strategy gamblers actually leads to a more optimal game than playing a 1-2 handed spread alone. This could be from the recently oft discussed issue of going 1-2 hands when solo (see Colin's BJA forum post on the new PBS). Additionally, there is a substantial decrease in gain when playing with a card counter (the tracked players position was first base).

1 Handed spread:

Same rules

1x$25 (TC -3 and below), 1x$25, 1x$25, 1x$25, 1x$50, 1x$100, 1x$200, 1x$400, 1x$500, 1x$600 (TC 6 and up)

Alone:

EV: $107

SD: $1564

ROR: 1.24%

N0: 212

With 1 gambler:

EV: $103

SD: $1469

ROR: .83%

N0: 201

2 Counters:

EV: $102

SD: $1474

ROR: .92%

N0: 209

Discussion: Again, there appears to be a marginal gain to playing with a basic strategy gambler. Additionally, the counters appear to impact each other less when playing on one hand…although still marginally.

2 handed spread:

Same rules

2x$25 (TC -3 and below), 2x$25, 2x$25, 2x$25, 2x$25, 2x$50, 2x$100, 2x$200, 2x$250, 2x$300 (TC 6 and up)

Alone:

EV: $91

SD: $1259

ROR: .32%

N0: 191

With 1 Gambler:

EV: $89

SD: $1218

ROR: .25%

N0: 189

2 Counters:

EV: $89

SD: $1196

ROR: .20%

N0: 182

Discussion: In this case the three different sims have only marginally different results.

Conclusion:

I hope these results are interesting to somebody. I hope to continue researching the different outcomes caused by having multiple players at the table, particularly the outcomes of the same spread when playing solo vs. with others.

Best of luck!

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