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Why have you chosen to simulate players if Nash Equilibrium can be computed analytically (or at least numerically)?

I've used optimization of https://en.wikipedia.org/wiki/Lyapunov_function in my Bachelor thesis https://github.com/Artimi/neng to do that.

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Simulation is fun and understandable by many more than a block of math. Specially if using a more complex problem where there might not be an analytical solution.

To take that a step further, problems with analytical solutions are fun to simulate because you can use the analytical solution to verify that your simulator is working correctly.

That's a good point, and I'd add that, in the opposite direction, running a simulation can be a good way to convince yourself that your analytical solution is correct.

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