15 papers
Concentrated Liquidity Provision: a Reinforcement Learning Perspective
Georgios Chionas, Charalampos Kleitsikas, Stefanos Leonardos +2
Automated market makers (AMMs) are a cornerstone of decentralised finance (DeFi). Constant product markets with concentrated liquidity, such as UniswapV3, are now a well-establishe…
Market Making with Fads, Informed, and Uninformed Traders
Emilio Barucci, Adrien Mathieu, Leandro Sánchez-Betancourt
We characterise the solution to a continuous-time optimal liquidity provision problem in a market populated by informed and uninformed traders. In our model, the asset price exhibi…
Doubly Outlier-Robust Online Infinite Hidden Markov Model
Horace Yiu, Leandro Sánchez-Betancourt, Ãlvaro Cartea +1
We derive a robust update rule for the online infinite hidden Markov model (iHMM) for when the streaming data contains outliers and the model is misspecified. Leveraging recent adv…
Competition between DEXs through Dynamic Fees
Leonardo Baggiani, Martin Herdegen, Leandro Sanchez-Betancourt
We find an approximate Nash equilibrium in a game between decentralized exchanges (DEXs) that compete for order flow by setting dynamic trading fees. We characterize the equilibriu…
Solving Linear-Quadratic Stochastic Control Problems with Signatures
Alif Aqsha, Peter Bank, Leandro Sánchez-Betancourt
We study a signature-driven numerical scheme to solve multi-dimensional linear-quadratic (LQ) stochastic control problems. Using that linear signature functionals are dense in the…
Trading in CEXs and DEXs with Priority Fees and Stochastic Delays
Philippe Bergault, Yadh Hafsi, Leandro Sánchez-Betancourt
We develop a mixed control framework that combines absolutely continuous controls with impulse interventions subject to stochastic execution delays. The model extends current impul…