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 ... (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 ... (read more)