ABSTRACT

Not all games are to play; some of the most amusing are designed just

to think about. Is the game fair? What's the best strategy? T h e games

we describe below were collected from various sources by word of mouth,

but thanks to readers of an earlier version we have written sources for

some of them. A n odd (actually, even) feature of the games in this article

is that each has two versions, with entertaining contrasts between the

two. There are four pairs of games: the first involving numbers, the

second hats, the third cards, and the fourth gladiators. We present all

the games first, then their solutions.