Asynchronously Smoothed UBI Framework: Dynamics Equilibrium via Stochastic Distribution and Endogenous Tax-Feedback Loops

Addressing the overcapacity and deficiency of effective demand caused by rapid technological iterations, this paper proposes an Asynchronously Smoothed Universal Basic Income (AS-UBI) framework. By introducing high-entropy stochastic factors in the spatiotemporal dimensions, this mechanism achieves systematic optimization in three aspects:1. Micro-game level: By utilizing stochastic distribution, it transforms impulsive purchasing power shocks into a smoothed statistical steady state, eliminating the incentive for merchants to raise prices synchronously from a game-theoretic perspective;2. Labor market level: According to the Permanent Income Hypothesis, randomized issuance ensures that UBI is identified as "transitory income," thereby activating the marginal propensity to consume without weakening the labor force participation rate;3. Macro-control level: Through an iterative feedback algorithm based on tax increments, it achieves the automated recovery and precision injection of currency.The model demonstration also indicates that the inflation triggered by monetary stimulus is inversely proportional to its injection variance. This framework can accurately anchor the productivity dividends of the era of deep automation, providing a theoretical path for constructing a sustainable market system.