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Monte Carlo. Game Theory. Machine Learning. The Race Strategy Triangle for Formula 1.

20 May 2024·3 min read

Formula One race strategy operates at the intersection of three analytical disciplines: simulation, game theory, and machine learning. Understanding how these interact — and where each adds the most value — is the foundation of modern strategy thinking.

Monte Carlo simulation: quantifying uncertainty

At the core of modern F1 strategy is simulation — specifically, the use of Monte Carlo methods to evaluate strategy options across a distribution of possible race outcomes rather than a single deterministic forecast.

A Monte Carlo race simulation runs the race thousands of times, sampling from distributions of uncertain variables:

  • Tyre degradation (varies by compound, driver, track temperature, driving style)
  • Safety car probability (varies by circuit, lap, race history)
  • Rival behaviour (their tyre life, their likely strategy windows, their pit stop performance)
  • Traffic evolution (overtaking difficulty, rejoin position distributions)

The output isn't a single "best strategy." It's a distribution of outcomes for each available strategy option. This lets strategy teams understand not just which option is expected to perform best, but how much variance is associated with each choice.

Game theory: the rival dimension

Monte Carlo simulation treats rivals as distributions — probabilistic forecasts of their likely behaviour. Game theory goes further, modelling rivals as agents who are themselves optimising their strategies in response to what your team does.

The key insight from game theory in race strategy is that the optimal strategy depends on what your rivals do, and what your rivals do depends on what you do. This creates strategic interdependencies that simulation alone doesn't capture.

Game-theoretic thinking is most valuable in situations like:

  • Undercut/overcut decisions — when to pit to gain track position over a rival
  • Cover strategies — whether to mirror a rival's stop to protect position
  • Two-stop vs. one-stop splits — where different team strategies create different risk/reward profiles

Machine learning: improving the inputs

Machine learning enters race strategy primarily as an input improver — making the variables that simulation and game theory depend on more accurate.

ML is particularly valuable for:

  • Tyre degradation modelling — learning from historical data to predict degradation more accurately for specific compounds, tracks, and conditions
  • Lap time prediction — forecasting how lap times will evolve as tyre age, fuel load, and track evolution interact
  • Traffic modelling — predicting rejoin positions and overtaking difficulty based on historical overtaking data and current car pace
  • Rival behaviour — learning from historical data how specific teams and drivers tend to respond in strategic scenarios

Bringing the triangle together

The most sophisticated race strategy systems combine all three: Monte Carlo simulation to explore the outcome space, game theory to model strategic interaction, and machine learning to make the inputs more accurate.

SwitchPad™ is designed around this integration. The decision board it produces isn't just a simulation output — it's a live recommendation that accounts for rival behaviour, updates with race conditions, and explains why the recommended option has changed.


Learn how SwitchPad™ brings machine learning and scenario analysis into race strategy. Explore SwitchPad™.

Want to see how SIG ML applies these ideas in practice?