The Red Queen's Premium: Sex as an Antifragile Barbell Against Parasitic Certainty Traps

Sexual reproduction remains paradoxical because it commonly pays the two-fold cost of sex: in simple demographic accounting, a sexual lineage can leave roughly half as many gene copies per unit time as an asexual clone. Existing explanations---Muller's ratchet, the Tangled Bank, and the Red Queen---provide compelling narratives, but the Red Queen in particular is often presented without a fully explicit strategic model of adversarial control.We develop a formal synthesis in which sex evolves as a Max--Min Optimal Barbell Strategy enabling host lineages to escape Dynamically--Stabilized Certainty Traps (DSCTs) engineered by co-evolving parasites. We model host--parasite interaction as a Bateson Game---a frame-uncertainty game characterized by best-response reversal and costly clarification---and show that a strategic parasite can implement a DSCT controller using an exponential moving-average (EMA) tracker of host susceptibility to stabilize exploitation.Asexuality is shown to be fragile under adversarial volatility, captured by a concave quadratic value function. By contrast, sex implements a barbell mixture that is worst-case optimal (and, in the symmetric two-frame limit, payoff-equalizing across frames), guaranteeing a strictly higher worst-case fitness. The demographic cost of sex is reinterpreted as an option premium paid for antifragility---convex exposure to parasite volatility that raises long-run value under adversarial uncertainty.The framework yields testable predictions about parasite tracking efficiency, infection time-series autocorrelation, and the scaling of the advantage of sex with parasite volatility and control bandwidth.