Chance Strategy And Choice

Games and elections are fundamental activities in society with applications in economics, political science, and sociology. These topics offer familiar, current, and lively subjects for a course in mathematics. This classroom-tested textbook, primarily intended for a general education course in game theory at the freshman or sophomore level, provides an elementary treatment of games and elections. Starting with basics such as gambling, zero-sum and combinatorial games, Nash equilibria, social dilemmas, and fairness and impossibility theorems for elections, the text then goes further into the theory with accessible proofs of advanced topics such as the Sprague–Grundy theorem and Arrow's impossibility theorem. • Uses an integrative approach to probability, game, and social choice theory • Provides a gentle introduction to the logic of mathematical proof, thus equipping readers with the necessary tools for further mathematical studies • Contains numerous exercises and examples of varying levels of difficulty • Requires only a high school mathematical background.

Games and elections are fundamental activities in society with applications in economics, political science, and sociology. These topics offer familiar, current, and lively subjects for a course in mathematics. This classroom-tested textbook, primarily intended for a general education course in game theory at the freshman or sophomore level, provides an elementary treatment of games and elections. Starting with basics such as gambling, zero-sum and combinatorial games, Nash equilibria, social dilemmas, and fairness and impossibility theorems for elections, the text then goes further into the theory with accessible proofs of advanced topics such as the Sprague-Grundy theorem and Arrow's impossibility theorem. * Uses an integrative approach to probability, game, and social choice theory * Provides a gentle introduction to the logic of mathematical proof, thus equipping readers with the necessary tools for further mathematical studies * Contains numerous exercises and examples of varying levels of difficulty * Requires only a high school mathematical background.

How Much Do You Believe That What Happens to You Is the Result of Your Own Actions—or Do Circumstances Beyond Your Control Largely Determine Your Fate? Locus of Control (LOC) is a phrase used by psychologists to describe a widely effective way of assessing an individual’s potential for success—personal, social, and financial. LOC measures how much you believe what happens to you is the result of your own actions or, conversely, of forces and circumstances beyond your control. People who accept that they are largely in control of their lives tend to do better than those who feel that fate or external factors rule what they do, especially in novel and difficult situations. This book explains LOC research, until now mainly confined to academic circles, in terms easily understandable to the average person. The author, a clinical psychologist who has spent nearly five decades investigating and writing about LOC, helps the reader to explore his or her own locus of control and what those orientations might mean for how life is lived. He discusses the extensively documented relationship between LOC and academic achievement, personal and social adjustment, health, and financial success. Dr. Nowicki notes that there has been an increasing tendency among Americans to feel as though their lives are slipping out of their control, and he identifies ways to reverse this negative trend. He describes how the Locus of Control is learned and demonstrates ways in which it can be changed to yield higher levels of achievement, success, personal satisfaction, and better interactions with others.

Explains how companies must pinpoint business strategies to a few critically important choices, identifying common blunders while outlining simple exercises and questions that can guide day-to-day and long-term decisions.

Much of our thinking is flawed because it is based on faulty intuition. By using the framework and tools of probability and statistics, we can overcome this to provide solutions to many real-world problems and paradoxes. We show how to do this, and find answers that are frequently very contrary to what we might expect. Along the way, we venture into diverse realms and thought experiments which challenge the way that we see the world. Features: An insightful and engaging discussion of some of the key ideas of probabilistic and statistical thinking Many classic and novel problems, paradoxes, and puzzles An exploration of some of the big questions involving the use of choice and reason in an uncertain world The application of probability, statistics, and Bayesian methods to a wide range of subjects, including economics, finance, law, and medicine Exercises, references, and links for those wishing to cross-reference or to probe further Solutions to exercises at the end of the book This book should serve as an invaluable and fascinating resource for university, college, and high school students who wish to extend their reading, as well as for teachers and lecturers who want to liven up their courses while retaining academic rigour. It will also appeal to anyone who wishes to develop skills with numbers or has an interest in the many statistical and other paradoxes that permeate our lives. Indeed, anyone studying the sciences, social sciences, or humanities on a formal or informal basis will enjoy and benefit from this book.