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Impact and Counterfactuals

Status Draft briefPart Simulation and Backtesting

Once a hypothetical order is large or visible enough to affect other behavior, replaying an unchanged historical future becomes internally inconsistent.

Central questions

  • At what size can a strategy plausibly be treated as a price taker?
  • Which historical events depend on the market state the simulation changed?
  • How is uncertainty in impact represented?

Planned model

Compare no-impact replay, mechanical book consumption, parametric response, and adversarial sensitivity bounds for one execution schedule.