Uniform-Loss Automated Market Making for Prediction Markets
This work addresses a key limitation of existing automated market makers (AMMs) in prediction markets: while they bound the worst-case total loss for subsidy providers, they offer no control over how this loss is distributed across price and time. Building upon the loss-versus-rebalancing (LVR) framework, the paper introduces the first uniform-loss AMM, whose instantaneous LVR is proportional to the pool value and independent of the current price. By establishing a bidirectional correspondence between winning martingales and pricing functions, and integrating dynamic liquidity management, the proposed mechanism enables on-demand shaping of the expected cumulative loss trajectory. The authors theoretically prove the existence of uniform-LVR pricing functions under general winning martingales and validate the approach through representative examples, offering a novel tool for controlling loss distribution in AMM design.