In a generalized Maker-Breaker positional game, Maker and Breaker play in turns. Maker makes a moves in each turn and Breaker makes b moves in each turn. We choose Maker to be the first player, although this nearly always makes no difference in the outcome of the game. We call such games (a : b)-games. If a = b, the game is fair, otherwise it is biased. If a = b > 1, the game is accelerated. In...

─ There is ample evidence that humans (and other primates) possess a knowledge instinct: a biologically driven impulse to make coherent sense of the world at the highest level possible. Yet behavioral decision making data suggest a contrary biological drive to minimize cognitive effort by solving problems using simplifying heuristics. Individuals differ, and the same person varies over time, in...