TOPICS
Search

Iterated Prisoner's Dilemma


The iterated prisoner's dilemma is repeated play of the prisoner's dilemma by the same players. Unlike the one-shot game, strategies in the iterated prisoner's dilemma can depend on the history of previous moves (Axelrod 1985).

Examples of strategies for the iterated prisoner's dilemma include tit-for-tat and grim trigger strategies, in which a player begins by cooperating but defects forever after the first defection by the other player. Wolfram (2026) studies versions in which strategies are specified by deterministic programs such as finite state machines.


See also

Prisoner's Dilemma, Strategy, Tit-for-Tat

Explore with Wolfram|Alpha

References

Axelrod, R. The Evolution of Cooperation. New York: BasicBooks, 1985.Veritasium. "This Game Theory Problem Will Change the Way You See the World." Dec. 23, 2023. https://www.youtube.com/watch?v=mScpHTIi-kM.Wolfram, S. "Games between Programs: The Ruliology of Competition." Jun. 4, 2026. https://writings.stephenwolfram.com/2026/06/games-between-programs-the-ruliology-of-competition/.

Cite this as:

Weisstein, Eric W. "Iterated Prisoner's Dilemma." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/IteratedPrisonersDilemma.html

Subject classifications