Infinitely repeated quantum games and strategic efficiency

Repeated quantum game theory addresses long term relations among players who choose strategies. In the conventional theory, single round games or at most finitely repeated have been widely studied, however less is known for infinitely games. Investigating crucial since do not much differ from this work we establish concept of general and show Quantum Folk Theorem, which claims that by iterating a one can find an equilibrium strategy receive reward obtained Nash corresponding game. A significant difference between prisoner's dilemma classical Pareto optimal solution always when entanglement sufficiently strong. When strong small, mutual cooperation cannot be addition present several concrete strategies dilemma.