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Wolfram U

Introduction to Decision Process Theory Video Course: Wolfram U

via Wolfram U

Overview

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Master the concepts of game theory. Course covers problems of perfect and imperfect information, zero-sum and non-zero-sum games, behaviors as streamlines, irrational & time-dependent behaviors.

This course extends classic game theory concepts by introducing a dynamic model extension of game theory. It includes a decision process theory (DPT) toolkit based on Wolfram Language to help arrive at solutions with practical applications. A new suite of game theory functions has since been built into Wolfram Language, but the DPT toolkit can still be helpful with conceptual understanding. The goal is to make concepts accessible to not only engineers but also to a more general audience, with applications to business, economics, project management and social behaviors. The course begins with classical topics in game theory and includes an approach to dynamic behavior using streamlines, a concept carried over from fluid flow dynamics. See how game theory can be extended with ideas from geometry, physics and engineering. The author is Professor Gerald H. Thomas, the instructor of a successful engineering course and author of A Field Theory of Games, Volume 1 and Volume 2. Wolfram AI Course Assistant is available for this interactive course.

Syllabus

  • Solve classical game theory problems in normal form
  • Distinguish solutions for zero-sum and non-zero-sum games
  • Use differential geometry and decision process theory to define a player and codes of conduct
  • Think of behaviors in games as flows and compute their streamlines to capture more of the dynamics
  • Understand how to apply a generalized Nash equilibrium for non-zero-sum games such as Chicken and Prisoner's Dilemma
  • Incorporate irrational behaviors in decision process theory
  • Use stresses to formalize the concept of ownership as well as to account for games with non-perfect information
  • Apply stationary flow examples to time-dependent behaviors

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