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Behavioral Mathematics for Game AI


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Table of Contents

Part I: Introduction 1: Why Behavioral Mathematics 2: Observing the World 3: Converting Behaviors to Algorithms Part II: Decision Theory 4: Defining Decision Theory 5: Game Theory 6: Rational vs. Irrational Behavior 7: The Concept of Utility 8: Marginal Utility 9: Relative Utility Part III: Mathematical Modeling 10: Mathematical Functions 11: Probability Distributions 12: Response Curves 13: Factor Weighting Part IV: Behavioral Algorithms 14: Modeling Individual Decisions 15: Changing a Decision 16: Variation in Choice

About the Author

Dave Mark is the President and Lead Designer of Intrinsic Algorithm, LLC, an independent game development studio and AI consulting company in Omaha, NE. He has been programming since 1984 when he was in high school. Much to the dismay of his teacher, he wrote his first text adventure on the school's DEC PDP-1144. After a brief detour in the music business as a composer/arranger, keyboard player and recording engineer during the early '90s, he re-entered the technology arena in 1995. After being in the IT consulting and development world for 8 years, Dave left to start game, simulation and AI consulting company, Intrinsic Algorithm LLC with his wife, Laurie. He was a contributor to the AI Game Programming Wisdom series and is a regular columnist at


1: Why Behavioral Mathematics. 2: Decision Theory. 3: Mathematical Modeling. 4: Probability Math for Decisions. 5: Modeling Individual Choice. 6: Modeling Simulations.

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