Most arbitrage fashions right now? Inefficient. Sluggish. Computationally costly.
“Conventional arbitrage strategies counting on convex optimization wrestle in AMM-driven markets as a result of they assume clean constraints that hardly ever exist in follow. As detailed within the paper, convex formulations, whereas efficient for canonical xy=okay curves, fall quick when utilized to concentrated liquidity AMMs.
In these settings, the optimization downside includes piecewise-linear constraints, the place options ceaselessly lie on the boundary of the possible area. This mismatch forces solvers into convergence challenges, as gradient-based strategies fail close to abrupt transitions and simplex strategies soar between vertices. The result’s a system that, regardless of its mathematical magnificence, is gradual, unpredictable, and ill-suited for real-time arbitrage the place each millisecond counts.”
— Dr. Mark Richardson, Bancor Undertaking Lead
