Least integer game
by Ian Short
Here is an exercise that can be performed with a group of at least three people. Each person secretly writes down a positive integer. The person with the least positive integer that nobody else has written down wins the game. Everyone is aware of the object of the exercise.
There seems to be game theory in this, and statistics. It’s an interesting exercise with which to begin a class. I’ll give it a go sometime and report back here.