What follows is a constructed solution for the six-player problem, wherein the small blind always wins.<p>With six players, the small blind will receive the first and seventh cards of the deck, which I will denote (1,7). The remaining hands will be (2,8), (3,9), (4,10), (5,11), and (6,12). The burn cards are 13, 17, and 19. The board is cards 14, 15, 16, 18, and 20. The first and last board cards are exactly 13 cards after the small blind's two cards, so by simply permuting the 13 possible ranks and then repeating the permutation, one can guarantee the small blind will hit two pair via the first flop card and the river card. What remains is to guarantee that two pair will be the winning hand.<p>Because cards of the same rank will be exactly 13 spaces apart, no player will be dealt a pocket pair, and the board will never pair. Therefore, larger multiples (trips, quads, boats) will never come up. Furthermore, no other player will hit two pair.<p>We can eliminate the possibility of a flush (including a straight flush) by guaranteeing that, of the seven cards from 14 and 20, no three are of the same suit. This is simple -- cycle the cards in arbitrary suit order, say, spades - diamonds - clubs - hearts.<p>Now we simply need to eliminate the possibility of a straight. The permutation A Q T 8 6 4 2 K J 9 7 5 3 does this. Each player gets connected cards like A-2, 5-6, or J-Q, but the board hits the first, third, and fifth cards of a straight (or doesn't put one out at all), meaning one or two players have a gutshot draw but nobody ever hits.<p>It even appears realistic for a player in the small blind to play this hand regardless of which of the possibilities they're dealt, unless two other players both put out big raises. With a strong hand (say, pairing an ace or king on the flop) they can simply act as though they knew they were in the lead the whole time. With a weak hand (say, 3-4 offsuit) they can act like they were playing position with a Gus Hansen hand, semi-bluffed with bottom pair, and sucked out on the river.