game-theory-iterated

To sustain cooperation in a repeated prisoner's dilemma, you analyze long-run interactions by mapping stage-game payoffs and evaluating the discount factor to determine if future incentives outweigh short-term defection gains.

The shadow of the future in iterated game theory represents the value of continued interaction. It models time horizon, continuation probability, and impatience to determine if future rewards can rationally sustain ongoing cooperation.

To prevent defection spirals in long-running negotiations, strategies like Tit for Tat, Generous Tit for Tat, or Grim Trigger are evaluated based on observability and credible punishment conditions to maintain stable partnerships.

To rebuild trust and recover cooperation after a breakdown, you apply recovery paths from iterated strategies like Generous Tit for Tat or Win-Stay Lose-Shift, which structurally forgive defection while discouraging future exploitation.

Folk theorem conditions allow cooperation in iterated games when players have a sufficiently high discount factor, actions are observable, and credible punishment mechanisms exist to enforce long-run mutual agreements.

Yes, game theory analysis applies to recurring competitive partnerships by translating repeated interactions into stage-game payoffs, evaluating continuation likelihood, and selecting rules that make cooperation rational despite cheating temptations.