Popularized by films comparable to “A Lovely Thoughts,” sport theory is the mathematical modeling of strategic interplay amongst rational (and irrational) brokers. Past what we name `video games’ in widespread language, comparable to chess, poker, soccer, and many others., 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 might 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 sport timber), Bayesian video games (modeling issues like auctions), repeated and stochastic video games, and extra. We’ll embrace a wide range of examples together with traditional video games and some functions.
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