Conditional Generators for Limit Order Book Environments: Explainability, Challenges, and Robustness

LOBs [22] are a fundamental market mechanism, which are used across a significant proportion of financial markets, including all major stock and derivatives exchanges. The benefits of having robust and realistic simulators for these markets are numerous. For example, they would allow the study of markets under different assumptions, and the investigation of AI techniques for training trading strategies. In a LOB market, matched orders result in trades and unmatched orders are stored in the two parts of the LOB, a collection of buy orders called bids (the bid book), and a collection of sell orders called asks (the ask book). Typically, each side of the LOB will contains hundreds of individual orders, and a real market would be updated at micro-second time resolution, driven by a wide range of market participants and facilitated by "high-frequency" market makers [45]. The development of AI-based automated trading strategies for LOB markets has been a growth area in recent years, both within academia and industry, spurred on in part by developments in deep learning and reinforcement learning. Two typical LOB trading problems that have been investigated are market making, where the goal is to provide liquidity to the market by being continually willing to buy and sell an asset (see, e.g., Spooner et al. [50], Jerome et al. [28], Gasperov and Kostanjcar 1