Trading orbits of two-asset AMMs are level sets of weighted geometric means x^w y^{1-w} derived from validity invariance, Pareto efficiency, and unit invariance.
Formalizing Automated Market Makers in the Lean 4 Theorem Prover
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From Swap Axioms to Weighted Geometric Means: A Characterization of AMMs
Trading orbits of two-asset AMMs are level sets of weighted geometric means x^w y^{1-w} derived from validity invariance, Pareto efficiency, and unit invariance.