Two players A and B each write a positive integer simultaneously.
The player who writes the smaller number scores one point
unless the other player chooses a number just one unit greater,
in which case the latter scores 2 points.
This is a psychological game because each player tries to
out-guess the
other player's move.
Strategy:
Game Theory suggests that the following relative frequencies are winning strategies:
| Number called | Relative Frequency |
|---|---|
| 1 | 1 |
| 2 | 5 |
| 3 | 4 |
| 4 | 5 |
| 5 | 1 |
Any number equal to or greater than 6 is a losing strategy.