Can anyone provide a reference where Niels Bohr's proposed game is described?
From George Gamow, One Two Three... Infinity (Bantam, New York), p. 212:
Although this bluffing [at poker] actually is the heart of the game, and once led the famous Danish physicist Niels Bohr to propose an entirely new type of game in which no cards are used, and the players simply bluff one another by talking about the imaginary combinations they have, it lies entirely outside the domain of probability calculus, being a purely psychological matter.