Universal basic income in a financial equilibrium

Battle Count: 73

The paper is primarily a theoretical equilibrium existence proof with policy implications. Its relevance to quantitative trading is indirect: it provides a framework for understanding how UBI policies affect market price of risk, interest rates, and stock prices in equilibrium. The BSDE methodology and state price deflator construction are relevant to derivatives pricing and risk management. However, the paper does not propose trading strategies, does not use empirical data, and the stock market effects are shown to be nonmonotone and complex, limiting direct trading applications. The influence parameter concept could inform sentiment-based models.

The paper involves highly advanced mathematical machinery: (I+1)-dimensional coupled quadratic BSDE systems, BMO-martingale theory, duality arguments for utility maximization, Itô calculus for multiple interacting processes, and verification theorems. The equilibrium construction requires solving the BSDE system, constructing price processes, verifying admissibility conditions, and proving market clearing. The mathematical prerequisites include stochastic analysis, BSDE theory, convex duality, and general equilibrium theory. No computational implementation is provided.

The paper is fully self-contained with complete mathematical proofs. All definitions, theorems, and proofs are provided. The BSDE system is explicitly stated with all coefficients. However, no numerical code or computational implementation is provided. The theoretical results are verifiable by reading the proofs. The author acknowledges using ChatGPT for proofreading during revision.