Tennis (paper game)
Tennis is an (abstract) strategic pencil and paper game for two players.
The game field consists of 4 fields and a centre line.
These are called (-2,-1,0,1,2), with negative numbers belonging to player 1, positive to player 2. At start, the ball is at the centre line (0).
Both players start with the same initial number (e.g. 50 points).
In each draw, both players choose a number, and the ball is moved towards the player with the smallest number.
The number that was chosen reduces the points for the next draws.
The aim of the game is to move the ball beyond the second field of the opponent.
The game is described in.
For a simple description, we include the numbers -3 and 3 to denote the ball being beyond the second field.
This results in a playfield as (-3,-2,-1,0,1,2,3).
The draw of player i at time t will be denoted as , the ball is at time t in .
At start is and for both players is .
Each player chooses a whole number , with only if .
The number reduces the points of this player ().