“The object of the popular casino card game of blackjack is to obtain cards the sum of whose numerical values is as great as possible without exceeding 21. The rules of the game directly from the book are below:

The Reinforcement Learning book by Sutton and Barto has a blackjack example in chapter 5 that led to many of the ideas in this post. Monte Carlo Control with Seeing Both Dealer cards.Monte Carlo Control with “Blackjack” and Doubling Down.The OpenAI Gym Environment and Modifications.Monte Carlo Control (Solving for an optimal policy).Monte Carlo Prediction (Evaluating a fixed policy).To improve the performance of your Monte Carlo simulations, you can distribute the computations to run in parallel on multiple cores using Parallel Computing Toolbox™ and MATLAB Parallel Server™. Running Monte Carlo Simulations in Parallel Simulink Design Optimization™ provides interactive tools to perform this sensitivity analysis and influence your Simulink model design. Monte Carlo simulations help you gain confidence in your design by allowing you to run parameter sweeps, explore your design space, test for multiple scenarios, and use the results of these simulations to guide the design process through statistical analysis. The design and testing of these complex systems involves multiple steps, including identifying which model parameters have the greatest impact on requirements and behavior, logging and analyzing simulation data, and verifying the system design. You can model and simulate multidomain systems in Simulink ® to represent controllers, motors, gains, and other components. Risk Management Toolbox™ facilitates credit simulation, including the application of copula models.įor more control over input generation, Statistics and Machine Learning Toolbox™ provides a wide variety of probability distributions you can use to generate both continuous and discrete inputs. Financial Toolbox™ provides stochastic differential equation tools to build and evaluate stochastic models. In financial modeling, Monte Carlo Simulation informs price, rate, and economic forecasting risk management and stress testing. MATLAB is used for financial modeling, weather forecasting, operations analysis, and many other applications.

MATLAB ® provides functions, such as uss and simsd, that you can use to build a model for Monte Carlo simulation and to run those simulations.

Blackjack monte carlo simulation