Behavioral Mathematics for Game AI (Applied Mathematics)

Human behavior is never an exact science making the design and programming of artificial intelligence that seeks to replicate human behavior difficult. Usually the answers cannot be found in sterile algorithms that are often the focus of artificial intelligence programming. However by analyzing why people behave the way we do we can break down the process into increasingly smaller components. We can model many of those individual components in the language of logic and mathematics and then reassemble them into larger more involved decision-making processes. Drawing from classical game theory "Behavioral Mathematics for Game AI" covers both the psychological foundations of human decisions and the mathematical modeling techniques that AI designers and programmers can use to replicate them. With examples from both real life and game situations youll explore topics such as utility the fallacy of rational behavior and the inconsistencies and contradictions that human behavior often exhibits. Youll examine various ways of using statistics formulas and algorithms to create believable simulations and to model these dynamic realistic and interesting behaviors in video games. Finally youll be introduced to a number of tools you can use in conjunction with standard AI algorithms to make it easier to utilize the mathematical models.