Two individuals (that are suspected "partners in crime") have been arrested for [illegally] possessing a gun. Further, the police have enough evidence to imprison each for one year on a weapons charge.
Still, since the police [correctly] suspect the pair are responsible for a recent bank robbery, they question each separately, offering you the following deal:
If you confess and implicate your partner, you go free.
If you do not confess but your partner implicates you, you receive a sentence of 20 years in prison.
If you both confess, you each receive a sentence of 8 years in prison.
[If you both remain silent, you each receive a sentence of 1 year in prison (on the weapons charge).]
The "Dilemma" = to cooperate (and not confess) or to confess?
A game is any interaction with:
At least two players (and a player can be an individual or entity);
Each player has a number of possible strategies (or courses of action) to follow;
The strategies chosen by each player determine the outcome of the game; and
Numerical payoffs can be associated with the different game outcomes.
Game theory is a mathematical technique used to analyze the behavior of individuals as they:
Try to reach an optimal outcome through game playing and/or the use of strategic behavior;
Are fully aware of the interactive nature of the process/game; and
Anticipate the moves of other players.
Like individuals, firms have a bias against cooperation:
Even though cooperation (via a cartel aimed at raising prices) would increase profits; and
Each firm has an incentive to cheat.
When an oligopoly dominates a market:
Production is too low;
Prices are too high; and
Optimal public policy includes promoting competition and preventing price fixing.