## Prisoner's Dilemma

The 'prisoner's dilemma' is a two person, non zero sum game. Two players A and B are jointly accused of a crime. They are separated and separately interviewed. They are presented with the following alternatives. If you both plead guilty, you will both be detained for five years. If one of you denies complicity while the other admits it, the one who admits his guilt will be freed, and the one who denies complicity will be detained for ten years. If you both deny complicity, you will be detained for two years.

Are you innocent or guilty?

The payoff matrix for A is

A\B | Guilty | Innocent |

Guilty | -5 | 0 |

Innocent | -10 | -2 |

A\B | Guilty | Innocent |

Guilty | -5 | -10 |

Innocent | 0 | -2 |