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AMM Decomposition

Decompose AMM Curves

AMM curves define continuous price functions, making them fundamentally different from orderbook structures. Monorail's approach begins by decomposing these curves into a new liquidity model.

For each AMM, the algorithm:

  • Analyzes how liquidity and pricing change across different trade sizes
  • Builds a comprehensive map of available liquidity
  • Models price impact behavior throughout the new model

Protocol Agnostic Design

This transformation method works with any AMM that can provide quotes, ensuring the model remains viable as AMM designs evolve. This flexibility makes it future-proof against new implementations.

Key Features

  • Creates a single, coherent view of executable liquidity
  • Maintains mathematical rigor necessary for optimal execution
  • Preserves each venue's unique advantages

Previous Implementation Experience

This builds on previous work the Monorail team did to deploy Curve-style concentrated AMM liquidity to orderbooks: