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Non-Convex Market Makers: Coherence without Convexity, Friction, and Parallel Composition
Cost-function market makers are always assumed convex, and convexity is not what makes them coherent. For a path-independent maker the exact no-arbitrage condition is a chord condition, that every chord slope of the cost lie in the convex hull of payoffs; convexity enters the standard axiomatics thr
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