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Introduces the fundamentals of probability, statistics, decision theory, and game theory, and features interesting examples of games of chance and strategy to motivate and illustrate abstract mathematical conceptsCovering both random and strategic games, Probability, Decisions and Games features a variety of gaming and gambling examples to build a better understanding of basic concepts of probability, statistics, decision theory, and game theory. The authors present fundamental concepts such as random variables, rational choice theory, mathematical expectation and variance, fair games, combinatorial calculus, conditional probability, Bayes Theorem, Bernoulli trials, zerosum games and Nash equilibria, as well as their application in games such as Roulette, Craps, Lotto, Blackjack, Poker, RockPaperScissors, the Game of Chicken and TicTacToe. Computer simulations, implemented using the popular R computing environment, are used to provide intuition on key concepts and verify complex calculations.The book starts by introducing simple concepts that are carefully motivated by the same historical examples that drove their original development of the field of probability, and then applies those concepts to popular contemporary games. The first two chapters of Probability, Decisions and Games: A Gentle Introduction using R feature an introductory discussion of probability and rational choice theory in finite and discrete spaces that builds upon the simple games discussed in the famous correspondence between Blaise Pascal and Pierre de Fermat. Subsequent chapters utilize popular casino games such as Roulette and Blackjack to expand on these concepts illustrate modern applications of these methodologies. Finally, the book concludes with discussions on game theory using a number of strategic games. This book: Features introductory coverage of probability, statistics, decision theory and game theory, and has been classtested at University of California, Santa Cruz for the past six years Illustrates basic concepts in probability through interesting and fun examples using a number of popular casino games: roulette, lotto, craps, blackjack, and poker Introduces key ideas in game theory using classic games such as RockPaperScissors, Chess, and TicTacToe. Features computer simulations using R throughout in order to illustrate complex concepts and help readers verify complex calculations Contains exercises and approaches games and gambling at a level that is accessible for readers with minimal experience Adopts a unique approach by motivating complex concepts using first simple games and then moving on to more complex, wellknown games that illustrate how these concepts work togetherProbability, Decisions and Games: A Gentle Introduction using R is a unique and helpful textbook for undergraduate courses on statistical reasoning, introduction to probability, statistical literacy, and quantitative reasoning for students from a variety of disciplines.
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- Q: What topics does 'Probability, Decisions and Games' cover? A: The book covers fundamentals of probability, statistics, decision theory, and game theory, including concepts like random variables, rational choice theory, and Nash equilibria.
- Q: Is this book suitable for beginners? A: Yes, it is designed for readers with minimal experience and introduces complex concepts using simple games and relatable examples.
- Q: How is R used in this book? A: R is used for computer simulations that illustrate key concepts and help verify complex calculations throughout the text.
- Q: What types of games are analyzed in the book? A: The book analyzes both random and strategic games, including casino games like Roulette and Blackjack, as well as classic games like Rock-Paper-Scissors and Chess.
- Q: Who is the author of 'Probability, Decisions and Games'? A: The book is authored by Abel Rodríguez.
- Q: What is the binding type of the book? A: The book is available in paperback binding.
- Q: How many pages does the book have? A: The book has a total of 240 pages.
- Q: When was 'Probability, Decisions and Games' published? A: The book was published on April 24, 2018.
- Q: Does the book include exercises for practice? A: Yes, it contains exercises that approach games and gambling at a level accessible for readers.
- Q: Is this book suitable for university courses? A: Yes, it has been class-tested at the University of California, Santa Cruz for undergraduate courses on statistical reasoning and probability.