DUEL: (2 Bullets version)

Human (green, left) against Computer (red, right)

DUEL(2,2|0.05,0.1,...): Two players, Adam and Bob, move sequentially and they alternate. At each move, the player to move decides whether to "shoot" or to "walk". The probability of hitting the other increases from 0.05 at the first move, to 0.1, 0.15, and so on, but it only increases after one has walked. Each player has two bullets. When one has shot twice, the game is over, and the other one has won. But before that, hitting the other means winning. Winning has a payoff of 1, losing without being hurt of -1, and losing by being hit of -2.

You are playing the left player, Adam. Whenever it is your turn, two buttons named "shoot" and "walk" show. Hit one of these buttons.

2 bullets left
1 bullet left

Probability for hitting:
Adam wins, Ben is hurt
Adam wins, Ben loses
Adam loses, Ben wins
Adam is hurt, Ben wins
2 bullets left
1 bullet left

Computer thinks about its move ...

Erich Prisner, 2012