hrothgar, on 2013-September-06, 09:06, said:
Let's assume that I want to use the following convention
If I hold 3-3 in the minors, I open 1C 50% of the time and 1D 50% of the time.
I sum the total value of my spades (counting 2 for a deuce, 3 for a "three" 11 for a Jack, and so on
If the total is even, I open 1C
if the the total is odd, I open 1D
Prior to the start of the tournament, I disclose my partnership agreement to the opponents.
(In this case, I disclose the probability density function)
Furthermore, I register the mechanism by which I generate entropy to the tournament director.
At the close of the event, anyone who cares can validate that the behavior (the set of bids made) match the disclosed agreement.
In this case you are simply failing full disclosure. Your decision is related and is traceable to essential part of the deal and it may be possible for your partner to figure out the key information, eg., he happen to hold all odd spades (of course, if you're explaining the algorithm to opps, its OK, but it is not a mixed strategy any more).
To be truly (pseudo)random the entropy source have to be unrelated to the deal and I believe that human is incapable of producing one without any external aids, so systemic mixed strategies are doomed.
On the other hand, "may be light in the third seat" essentially is a mixed strategy and nobody seems to be complaining.