With randomness, including logical uncertainty, (C,C) is not a privileged point of the Pareto frontier. All points on lines between (C,C) and (C,D), and between (C,C) and (D,C), are fair game. This turns the problem into bargaining over a particular point, with the threat of damaging Pareto efficiency. The points in the convex hull of pure outcomes can be thought of as contracts. If both players agree on the contract of 0.7(C,C)+0.3(C,D), that’s still better than a lot of less coordinated alternatives.
With randomness, including logical uncertainty, (C,C) is not a privileged point of the Pareto frontier. All points on lines between (C,C) and (C,D), and between (C,C) and (D,C), are fair game. This turns the problem into bargaining over a particular point, with the threat of damaging Pareto efficiency. The points in the convex hull of pure outcomes can be thought of as contracts. If both players agree on the contract of 0.7(C,C)+0.3(C,D), that’s still better than a lot of less coordinated alternatives.