Oh I see, the Pareto frontier doesn’t have to be convex because there isn’t a shared random signal that the players can use to coordinate. Thanks!
Why would that make it convex? To me those appear unrelated.
If you have two strategy pairs (x0,y0),(x1,y1), you can form a convex combination of them like this: Flip a weighted coin; play strategy 0 on heads and strategy 1 on tails. This scheme requires both players to see the same coin flip.
Oh I see, the Pareto frontier doesn’t have to be convex because there isn’t a shared random signal that the players can use to coordinate. Thanks!
Why would that make it convex? To me those appear unrelated.
If you have two strategy pairs (x0,y0),(x1,y1), you can form a convex combination of them like this: Flip a weighted coin; play strategy 0 on heads and strategy 1 on tails. This scheme requires both players to see the same coin flip.