A Psychological Game

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.

Links:

Math Games

Mr. P's Puzzles and Games Page