GameTactic vs Bayes' Theorem Calculator Utilisation & Stats

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.

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Bayes' Theorem Calculator

The Bayes' Theorem Calculator provides a helpful way to determine conditional probabilities using the Bayes' Theorem formula in the format P(A|B)=(P(A)*P(B|A))/P(B). You are initially requested to input "What is the probability of:" (event A occurring) "Given that:" (event B has occurred) The calculator then populates Bayes' Theorem with this information to provide a clear understanding of your problem. The calculator then asks for the following probability percentages: P(A)% P(B|A)% P(B)% The calculator then calculates the Bayes' Theorem results. The calculator also calculates a table of observation percentages that helps with understanding the overall problem structure. To help verify results, the calculator provides a detailed calculation of the Bayes' Theorem using the included Table of Observation Percentages. Finally, sample problems are provided to assist you with setting up your problem and input percentages.