Can magicians use game theory to maximize their weekly earnings?

This video explores a classic game theory dilemma involving two magicians, Bob and Al. By analyzing their decision to either stick to a one-show-per-week agreement or cheat to perform more often, the video reveals how strategic choices impact individual and collective outcomes.

The scenario presents Bob and Al, who currently earn $10,000 each by limiting themselves to one performance per week. The video examines the temptation to perform more frequently in hopes of increasing revenue and investigates whether such a move actually leaves the magicians better off.

By applying the concept of Nash equilibrium, the video demonstrates how these strategic interactions unfold. It highlights the tension between individual incentives and the potential consequences of breaking an agreement, providing a clear look at how game theory models real-world decision-making.

Source: Office Hours: Game Theory