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It wasn't was I was trying to do. I was only refer to awm's point that double dummy it matters while I was pretty sure it doesn't. Now I am even more sure that it doesn't in general case (ie. in dillema if it's better to play from strong hand side or multi side in general). I wrote that the interesting point is not about dd simulations.
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Well, to be honest I don't see it all the time in practice as I play standardish methods after strong 1NT for example or after multi if I play it so I play most contracts from the stronger side as usually does the field.
In situations where we reach a contract from the other side due to system (for example due to artifical response to precision opening which other people don't have) my experience tells me swings are completely random in one direction or another.
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I am sorry but you miss the point here and are jumping at me
Awm's wrote it's advantage double dummy. I tried to prove this point wrong so I run some simuls to see if it has merits. It seems to me it doesn't. That's all I wanted to prove with those simuls. I don't pretend to say:
"ZOMG dd it doesn't matter so it doesn't matter !".
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I think the problem is that the sentence "it's better to play from stronger side" is so natural for every bridge player (because we are taught that way) that noticing it's wrong is very hard because our brains are not active in seeking evidence to the contrary. So even if it was wrong (ie. it wouldn't matter almost at all) I doubt people would notice.
If you play 4H after 1NT - 4D - 4H sequence and you don't make it you usually don't ask yourself what would happen if we played from the other side but for sure quite often you would make it due to different lead. You notice evidence to the contrary all the time though. If you somehow wind up in a contract from other side the field (weak side) and you don't make it due to different lead you are very fast to see this as evidence for playing for the stronger side.
Those are reasons I don't trust people's intuition on this one if they haven't actively searched for answer to this problem.
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Of course they are very useful ! In fact they are the only useful thing in evaluating this kind of question... we are referring to different question though...
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I don't think simulations are useful for evaluating OP's question so I won't do more of them
One way to settle this would be to organize friendly match with set constraints and see. The problem is I doubt we would ever reach sample size big enough to convince either side.

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