Meaningful Chance
But [chance in a game] is never sure. That's what makes the game interesting. Not only is there a possibility that, despite the odds against us, the chance we take will pay off. There is also the further possibility that, despite the apparent confidence of the players, this hand, which seems to be of markedly unimpressive value, might be, in fact, the best of all. My two kings might win the game for me. That's what confidence games are all about. They provide the opportunity and reward for your display of self as well as for your ability to play well with chance—they call for control over yourself as well as control over the game.—Bernard DeKoven, The Well-Played Game
In thinking about games as systems of uncertainty, we have looked at the micro-level of chance operation as well as the macro-level of the uncertainty of the game as a whole. One important insight we can apply to both of these levels is that the purely mathematical functioning of uncertainty is insufficient to understand the richness of chance within the mechanisms of a game. As DeKoven observes, it is true that a player interacts with the system of a game, taking risks, placing bets, and calculating the odds. At the same time, that system is also playing with the player, making demands, rewarding and punishing, and asking for leaps of faith. In thinking about games as formal systems, we cannot ultimately divorce the formal system of a game from the ways that players manipulate and inhabit the system. This is as true for the operation of chance as it was for the emergence of complexity. Uncertainty is in the eye of the beholder, or perhaps, in the play of the player.