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Probability, decisions, and games : a gentle introduction using R / by Abel Rodriguez, Bruno Mendes
| データ種別 | 電子ブック |
|---|---|
| 出版者 | (Hoboken, NJ : Wiley) |
| 出版年 | 2018 |
| 大きさ | 1 online resource |
| 著者標目 | *Rodriguez, Abel 1975- author Mendes, Bruno 1970- author |
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| 一般注記 | An introduction to probability -- Expectations and fair values -- Roulette -- Lotto and combinatorial numbers -- Conditional probabilities -- Craps -- Roulette revisited -- Blackjack -- Poker -- Strategic zero-sum games -- Mixed strategies in zero-sum games -- Non-zero-sum games -- Sequential games -- A brief introduction to R Print version record and CIP data provided by publisher 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 CONCEPTS Covering 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, zero-sum games and Nash equilibria, as well as their application in games such as Roulette, Craps, Lotto, Blackjack, Poker, Rock-Paper-Scissors, the Game of Chicken and Tic-Tac-Toe. 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 class-tested 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 Rock-Paper-Scissors, Chess, and Tic-Tac-Toe. - 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, well-known games that illustrate how these concepts work together Probability, 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. ABEL RODRIGUEZ, PhD, is Professor in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz (UCSC), CA, USA. The author of 40 journal articles, his research interests include Bayesian nonparametric methods, machine learning, spatial temporal models, network models, and extreme value theory. BRUNO MENDES, P Includes bibliographical references and index John Wiley and Sons Wiley Online Library: Complete oBooks HTTP:URL=https://onlinelibrary.wiley.com/doi/book/10.1002/9781119302643 |
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| 件 名 | LCSH:Game theory -- Textbooks
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LCSH:Game theory -- Data processing 全ての件名で検索 LCSH:Statistical decision -- Textbooks 全ての件名で検索 LCSH:Statistical decision -- Data processing 全ての件名で検索 LCSH:Probabilities -- Textbooks 全ての件名で検索 LCSH:Probabilities -- Data processing 全ての件名で検索 LCSH:R (Computer program language) CSHF:Th�eorie des jeux -- Informatique 全ての件名で検索 CSHF:Prise de d�ecision (Statistique) -- Informatique 全ての件名で検索 CSHF:Probabilit�es -- Informatique 全ての件名で検索 CSHF:R (Langage de programmation) FREE:MATHEMATICS -- Applied 全ての件名で検索 FREE:MATHEMATICS -- Probability & Statistics -- General 全ての件名で検索 FREE:Game theory FREE:Game theory -- Data processing 全ての件名で検索 FREE:Probabilities FREE:Probabilities -- Data processing 全ての件名で検索 FREE:R (Computer program language) FREE:Statistical decision FREE:Statistical decision -- Data processing 全ての件名で検索 FREE:Spieltheorie FREE:Statistische Entscheidungstheorie FREE:Wahrscheinlichkeit FREE:Datenverarbeitung FREE:Textbooks FREE:Textbooks |
| 分 類 | LCC:QA269 DC23:519.30285/5133 |
| 書誌ID | EB00004488 |
| ISBN | 9781119302612 |
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