Repeated Practice Test 2026 | Exam Prep

In the context of a finitely repeated Prisoner's Dilemma, what is the primary challenge in sustaining cooperation beyond the first round, even with a "grim trigger" strategy, according to the principles explored in "The Complete Repeated Game Theory Course 2026"?

Consider an infinitely repeated game with a discount factor $\delta$. If the one-shot game's Nash Equilibrium yields payoffs $(u_N, v_N)$ and a cooperative strategy profile yields payoffs $(u_C, v_C)$ where $u_C > u_N$ and $v_C > v_N$, what is the minimum discount factor $\delta^*$ required for cooperation to be sustainable via the grim trigger strategy?

In a repeated game with imperfect monitoring, the folk theorem suggests that a wider range of strategy profiles can be supported as Nash equilibria compared to games with perfect monitoring. Which of the following is a key enabling factor for this expansion of equilibrium outcomes?