A library for analyzing board games, finding optimal strategies, and building a better understanding of the mathematics behind the games of our childhood.

The first iteration implements the game Connect Four, and attempts to act as a querying tool to quickly answer questions about the game through automated simulations. The goal is for anyone with a few minutes to learn the library to answer questions like the following:

• Does the first player have an advantage over the second player?
• How large is the resulting "player order" edge?
• How much of the outcome of the game is determined by strategy as opposed to chance?
• Is there an optimal strategy?
• What is the optimal strategy?
• If a player using optimal strategy were to play against a player using random moves, how often would he lose (i.e. 1 in 10 games, 1 in 100 games, 1 in 1,000 games, 1 in 1,000,000 games, etc.)?