Thought Experiments

Topological: Consider strategy space as torus. Nash equilibria as fixed points of vector field; Smith equilibrium as harmonic function.

Categorical: Functor F: Econ → Top sending games to their equilibrium correspondences. Smith Path is limit of diagram of games as n→∞.

Quantum Analogy:

“Electric bacteria" align to field gradient (price signal) – Smith Path.

Quantum entanglement creates correlated strategies – Nash Path.