You consider the Randomized Yudkowsky-Kasparov system, but this is only one point on a continuum. There are stupider and smarter systems, generated by weaker and stronger chess players, respectively.
One interesting system is Randomized Kasparov-Kasparov, where we show arbitrary chess positions to Kasparov and ask him to assign probability distributions to what he'd do. Chess is a game of perfect information, so arbitrary chess positions can be shown without their history (of course, we have to count physically invisible state as known; a position consists of both the arrangement of the pieces and factoids like "the king has not moved, but the queen's rook has moved, so queenside castling is forbidden but kingside... (read more)
You consider the Randomized Yudkowsky-Kasparov system, but this is only one point on a continuum. There are stupider and smarter systems, generated by weaker and stronger chess players, respectively.
One interesting system is Randomized Kasparov-Kasparov, where we show arbitrary chess positions to Kasparov and ask him to assign probability distributions to what he'd do. Chess is a game of perfect information, so arbitrary chess positions can be shown without their history (of course, we have to count physically invisible state as known; a position consists of both the arrangement of the pieces and factoids like "the king has not moved, but the queen's rook has moved, so queenside castling is forbidden but kingside... (read more)