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.