Here is an easy game you
can play with your class mates.
Draw a grid of dots as shown.
Start
At each turn, a player
draws a closed loop that passes through precisely one or two dots and
does not intersect any other loop. (A closed loop is a line that starts
and stops on the same dot and doesnt cross itself. It can pass through
other unused dots.) See below for two examples.
The player who draws the last possible loop loses.
Player 1 (P1) is guaranteed a win
from here.
Can you see why?
Game 1
Player 2 (P2) is guaranteed to win
from here. Can you see why?