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kubikulann
kubikulann
Joined: Jun 28, 2011
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February 4th, 2015 at 12:55:38 PM permalink
Quote: MangoJ

You can always choose to ignore such information. Hence the last player can never perform worse (if the game is otherwise equal).

I can see the relevance of that. But it bothers me, in that it seems to imply that the last player in a poker round always has the advantage? Maybe it's the case; I'm not a poker player. What do you reckon?
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MangoJ
MangoJ
Joined: Mar 12, 2011
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February 4th, 2015 at 1:40:14 PM permalink
Quote: kubikulann

I can see the relevance of that. But it bothers me, in that it seems to imply that the last player in a poker round always has the advantage? Maybe it's the case; I'm not a poker player. What do you reckon?



Yes, on a given hand the last player to act (if everybody checks) is the "button", and is considered by far the strongest playing position. (Technically only in the pre-flop betting round he is not last to act, the small blind and big blind position may act afterwards - but after that he is the last to act).

However, between all hands the seating positions rotate thus making it fair on cash-games.
tringlomane
tringlomane
Joined: Aug 25, 2012
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February 4th, 2015 at 1:51:33 PM permalink
Quote: kubikulann

I can see the relevance of that. But it bothers me, in that it seems to imply that the last player in a poker round always has the advantage? Maybe it's the case; I'm not a poker player. What do you reckon?



Yeah, I'm bothered by the results too. Last player has the most information. He should be winning the most I would think.
kubikulann
kubikulann
Joined: Jun 28, 2011
  • Threads: 27
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February 5th, 2015 at 1:20:48 PM permalink
Quote: tringlomane

Yeah, I'm bothered by the results too. Last player has the most information. He should be winning the most I would think.

Let us imagine a simpler setting of the game: only six cards to draw, no replacement.

In this case, the third player may benefit from more information, but this is possibly compensated by the reduced card set he is presented?
I'm not at all sure of that. Just thinking out loud...
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MangoJ
MangoJ
Joined: Mar 12, 2011
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February 6th, 2015 at 1:37:04 PM permalink
Could it simply be that the solution is not correct ? Maybe the Nash strategy does not consist of a single threshold ?

If P3 doesn't know the choice of P2, he will have same equity as P2. Hence he can always employ the same strategy P2 and will have greater equity..
kubikulann
kubikulann
Joined: Jun 28, 2011
  • Threads: 27
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February 7th, 2015 at 7:11:53 PM permalink
Quote: MangoJ

Could it simply be that the solution is not correct ?

Might be !...
A simulation yields percentages of wins close to (1) 30% (2) 34% (3) 36%.

Shame on me.
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