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by raydog » Tue Sep 06, 2022 12:43 pm
I simulated this hand. Ran 100,000 iterations, fixing just S4's hand + the turn.
I first just noted how the first 3 seats fared if they bid (this was a separate run of 100,000 hands - easier to separate this out in order to get an accurate EV for the next run).
S1 calls: (0 / 6 / 0 // 0 / 166 / 565) [sweep lone / 1 pt lone / euchred lone // sweep wp / 1 pt wp / euchred wp]
S2 calls: (82 / 13 / 0 // 8,974 / 974 / 0)
S3 calls: (o / 52 / 2 // 0 / 206 / 516)
I show this just to give an idea of how my program bids from the other seats - how aggressive they are, and how they fare against a monster hand in S4 (unknown to them!)
Then I compared bidding alone in D from S4 (what my program does) or passing and bidding alone in S, R2, should S4 have the chance to do so:
Alone in D, R1: (33,016 / 49,550 / 6,148 // 0 / 0 / 0)
EV = 1.91 [88,714 hands bid of 100,000]
pass:
S1: (0 / 667 / 368 // 0 / 3,858 / 34,916)
S2: (461 / 294 / 0 // 15,326 // 4,385 / 9)
S3: (0 / 23 / 0 // 0 / 1,552 / 10,146)
S4: (13,611 / 3,089 / 0 / 0 / 0 / 0)
EV = 2.02
If S4 bids in round 1, they should do so alone, and achieve an EV or 1.91 [I didn't bother to see check the results if they bid wp - this is barely beatable].
But if S4 passes, and waits to euchre the opponents or bid R2, the EV is a bit better: 2.02 S4 will get to bid alone in S, R2, about 1/6th of the time, with a successful loner rate of over 80% in those instances.
Note that S2 bids a lot of hands, R2 - they simply don't know that their partner has a monster hand, so I think it's reasonable that they get in there and show their strength.
These results depend a lot on how the other seats bid, as Irish mentioned. But I think the end results are clear and reasonable, and in line with what XaviRonaldo predicted.