About this Course
Popularized by films akin to “A Lovely Thoughts,” recreation concept is the mathematical modeling of strategic interplay amongst rational (and irrational) brokers. Past what we name `video games’ in frequent language, akin to chess, poker, soccer, and so on., it consists of the modeling of battle amongst nations, political campaigns, competitors amongst companies, and buying and selling conduct in markets such because the NYSE. How may you start to mannequin key phrase auctions, and peer to see file-sharing networks, with out accounting for the incentives of the individuals utilizing them? The course will present the fundamentals: representing video games and methods, the in depth kind (which pc scientists name recreation timber), Bayesian video games (modeling issues like auctions), repeated and stochastic video games, and extra. We’ll embody quite a lot of examples together with traditional video games and some purposes.
SKILLS YOU WILL GAIN
- Recreation Idea
- Backward Induction
- Bayesian Recreation
- Downside Fixing
Syllabus – What you’ll be taught from this course
3 hours to finish
Week 1: Introduction and Overview
Introduction, overview, makes use of of recreation concept, some purposes and examples, and formal definitions of: the conventional kind, payoffs, methods, pure technique Nash equilibrium, dominant methods
2 hours to finish
Week 2: Combined-Technique Nash Equilibrium
pure and combined technique Nash equilibria
2 hours to finish
Week 3: Alternate Resolution Ideas
Iterative elimination of strictly dominated methods, minimax methods and the minimax theorem for zero-sum recreation, correlated equilibria
3 hours to finish
Week 4: In depth-Kind Video games
Excellent data video games: timber, gamers assigned to nodes, payoffs, backward Induction, subgame good equilibrium, introduction to imperfect-information video games, combined versus behavioral methods.
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