This is not a prisoner’s dilemma. The nash equilibrium (C,C) is not dominated by a pareto optimal point in this game.
Although an interesting game, it requires interpersonal comparisons of utility to make your point that the Nash equilibrium is not as good as another outcome.
Generally, we assume that comparisons already show up in the utility functions of each player.
BTW, I think your non-standard notation is confusing.
This is not a prisoner’s dilemma. The nash equilibrium (C,C) is not dominated by a pareto optimal point in this game.
Although an interesting game, it requires interpersonal comparisons of utility to make your point that the Nash equilibrium is not as good as another outcome.
Generally, we assume that comparisons already show up in the utility functions of each player.
BTW, I think your non-standard notation is confusing.