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What does this figure represent?

correlated equilibria of battle-of-sexes gamecorrelated equilibria of battle-of-sexes game

If you guessed "battle of the sexes," you are correct.  The figure illustrates a theorem concerning the geometry of the set of solutions of a noncooperative game, as it applies to the 2x2 game known as battle-of-the-sexes.   (He prefers the boxing match, she prefers the ballet, but they would like to go somewhere together rather than separately.  What should they do?)  The gray saddle is the set of independently randomized strategies. The green hexahedron is the set of correlated equilibria. Their three points of intersection (red dots) are Nash equilibria.  The sensible solution is not a Nash equilibrium.  For more details see the following paper.

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