Main point: Nash equilibrium can be achieved without any beyond-player mediation, and the path towards it can be clearly visualized.

https://arxiv.org/abs/1908.09021

Demos at Github to try. Fun guaranteed.

And the following figures from paper shows visualizations of the paths towards Nash equilibrium:

3X3 two-person game. The triangle represents the probability simplex in 3-D space.

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60X40 two-person game with 60 or 40 dimensions being reduced to 3 dimensions by PCA.

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Equilibrium point is always the final destination of strategy path.