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.