Probability, Decisions and Games: A Gentle Introduction using R

✍ Scribed by Abel Rodríguez, Bruno Mendes

• Publisher: Wiley
• Year: 2018
• Tongue: English
• Leaves: 220
• Edition: 1
• Category: Library

✦ Synopsis

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 RODRÍGUEZ, 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, PhD, is Lecturer in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz, CA, USA.

 

BRUNO MENDES, PhD, is Lecturer in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz, CA, USA.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 RODRÍGUEZ, 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, PhD, is Lecturer in the Department of Applied Mathematics and Statistics at the

University of California, Santa Cruz, CA, USA.

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