Li Yelena Alex

On Rado Numbers for x + by = bz: The b^k Pattern and a Threshold Conjecture

For integers b >= 2 and k >= 1, let R_k(b) denote the k-color Rado number for the equation x + by = bz, defined as the least positive integer n such that every k-coloring of {1, 2, ..., n} contains a monochromatic solution. Under the substitution d = z - y, this equation is equiv...

Accountability Arbitrage: Ethical Tensions in AI Agent Accountability Infrastructure

AI agents leave operational logs, tool traces, and platform receipts. Newer systems connect these fragments, expose later changes, and support independent verification. As reviewability improves, recordability becomes an allocation factor, not only an engineering property. This a...

When More Payoff Information Hurts: Objective Alignment under Endogenous Feasibility

This paper develops a theory of objective information value when payoff information improves but an agent incompletely represents how current actions change future feasibility. For arbitrary finite decision problems, posterior convexity is the benchmark for objective welfare to r...