Game Theory

Chance, Strategy, and Choice: An Introduction to the by Samuel Bruce Smith

By Samuel Bruce Smith

video games and elections are basic actions in society with functions in economics, political technological know-how, and sociology. those issues provide widespread, present, and energetic topics for a direction in arithmetic. This classroom-tested textbook, essentially meant for a common schooling path in online game thought on the freshman or sophomore point, offers an simple therapy of video games and elections. beginning with fundamentals resembling playing, zero-sum and combinatorial video games, Nash equilibria, social dilemmas, and equity and impossibility theorems for elections, the textual content then is going additional into the idea with available proofs of complicated themes akin to the Sprague–Grundy theorem and Arrow's impossibility theorem. • makes use of an integrative method of chance, video game, and social selection concept • presents a gradual creation to the good judgment of mathematical evidence, therefore equipping readers with the required instruments for additional mathematical reports • comprises a variety of workouts and examples of various degrees of hassle • calls for just a highschool mathematical background.

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