GameTactic vs Proof Fidget

GameTactic leverages game theory to determine the best strategies, including dominant plays and Nash equilibria, in two-player normal-form games. Users can select from preset games like the prisoner's dilemma, pure coordination, battle of the sexes, rock-paper-scissors, and game of chicken. After selecting a game, GameTactic identifies its optimal strategies and equilibria, allowing users to adjust payoffs and evaluate their implications. Additionally, you have the flexibility to design a custom game, defining strategies and associated payoffs. Currently, our platform focuses on identifying strict dominant strategies and pure and completely mixed Nash equilibria, with plans to expand to weakly dominant strategies and for partially mixed Nash equilibria in future versions.

ProofFidget is a puzzle-driven way to learn the feel of doing math: not by memorizing procedures, but by making correct moves, one step at a time, until a proof truly holds together. Each puzzle gives you a clear goal and a partially-complete derivation. You spin the wheel to choose your next move, then commit to a step and watch the proof line up. If you’re right, you progress; if you’re wrong, you learn quickly why it didn’t fit. The result is a tight feedback loop that makes abstract ideas concrete and surprisingly fun. You’ll work across a growing set of subjects, including: Logic and proof techniques: build confidence with implication, contradiction, and structured reasoning. Algebra: make valid transformations while keeping equations balanced, supported by visual “balance scale” diagrams. Number theory: practice modular arithmetic, divisibility, and gcd-style reasoning with intuitive visuals. Geometry and beyond: use diagrams to ground symbolic steps in something you can see. ProofFidget is designed for short, satisfying sessions, but it also rewards deeper play: you start noticing patterns, choosing steps for the right reasons, and developing proof instincts that transfer to real coursework and problem-solving. If you’ve ever thought “I understand the formula, but I don’t understand why,” ProofFidget is built for that moment.