Theory of Games and Statistical Decisions

Theory of Games and Statistical Decisions

Author: David A. Blackwell

Publisher: Courier Corporation

Published: 2012-06-14

Total Pages: 388

ISBN-13: 0486150895

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Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.


The Paradox of Choice

The Paradox of Choice

Author: Barry Schwartz

Publisher: Harper Collins

Published: 2009-10-13

Total Pages: 308

ISBN-13: 0061748994

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Whether we're buying a pair of jeans, ordering a cup of coffee, selecting a long-distance carrier, applying to college, choosing a doctor, or setting up a 401(k), everyday decisions—both big and small—have become increasingly complex due to the overwhelming abundance of choice with which we are presented. As Americans, we assume that more choice means better options and greater satisfaction. But beware of excessive choice: choice overload can make you question the decisions you make before you even make them, it can set you up for unrealistically high expectations, and it can make you blame yourself for any and all failures. In the long run, this can lead to decision-making paralysis, anxiety, and perpetual stress. And, in a culture that tells us that there is no excuse for falling short of perfection when your options are limitless, too much choice can lead to clinical depression. In The Paradox of Choice, Barry Schwartz explains at what point choice—the hallmark of individual freedom and self-determination that we so cherish—becomes detrimental to our psychological and emotional well-being. In accessible, engaging, and anecdotal prose, Schwartz shows how the dramatic explosion in choice—from the mundane to the profound challenges of balancing career, family, and individual needs—has paradoxically become a problem instead of a solution. Schwartz also shows how our obsession with choice encourages us to seek that which makes us feel worse. By synthesizing current research in the social sciences, Schwartz makes the counter intuitive case that eliminating choices can greatly reduce the stress, anxiety, and busyness of our lives. He offers eleven practical steps on how to limit choices to a manageable number, have the discipline to focus on those that are important and ignore the rest, and ultimately derive greater satisfaction from the choices you have to make.


Playing to Win

Playing to Win

Author: Alan G. Lafley

Publisher: Harvard Business Press

Published: 2013

Total Pages: 274

ISBN-13: 142218739X

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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.


Game Theory

Game Theory

Author: James N. Webb

Publisher: Springer Science & Business Media

Published: 2007-03-06

Total Pages: 237

ISBN-13: 1846286360

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The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it will also interest advanced students or researchers in biology and economics.


Sophomores

Sophomores

Author: Sean Desmond

Publisher: Penguin

Published: 2021-01-26

Total Pages: 386

ISBN-13: 052554268X

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"What a vibrant, propulsive, wildly intelligent and big-hearted slice of life Sophomores is, an intricate portrait of a family in crisis rendered with a great deal of humor and compassion. I loved this family, this corner of the world, this novel." -Claire Lombardo, author of The Most Fun We Ever Had The late 1980s come alive in this moving and keenly observed story of one boy's unforgettable sophomore year, and his parents' surprising journey alongside him. It's fall 1987 and life as normal is ending for the Malone family. With their sterile Dallas community a far cry from the Irish-American Bronx of their youth, Pat and Anne Malone have reached a breaking point. Pat, faced with a debilitating MS diagnosis, has fallen into his drinking. Anne, his devoutly Catholic wife, is selected as a juror for a highly publicized attempted murder trial, one that raises questions--about God, and about men in power--she has buried her entire life. Together, they try to raise their only son, Daniel, a bright but unmotivated student who is shocked into actual learning by an enigmatic English teacher. For once, Dan is unable to fly under the radar, and is finally asked to consider what he might want to make of his life. With humor and tenderness, Sophomores brilliantly captures the enduring poignancy of coming of age, teenage epiphanies and heartbreak, and family redemption.


Finite and Infinite Games

Finite and Infinite Games

Author: James Carse

Publisher: Simon and Schuster

Published: 2011-10-11

Total Pages: 155

ISBN-13: 1451657293

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“There are at least two kinds of games,” states James P. Carse as he begins this extraordinary book. “One could be called finite; the other infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” Finite games are the familiar contests of everyday life; they are played in order to be won, which is when they end. But infinite games are more mysterious. Their object is not winning, but ensuring the continuation of play. The rules may change, the boundaries may change, even the participants may change—as long as the game is never allowed to come to an end. What are infinite games? How do they affect the ways we play our finite games? What are we doing when we play—finitely or infinitely? And how can infinite games affect the ways in which we live our lives? Carse explores these questions with stunning elegance, teasing out of his distinctions a universe of observation and insight, noting where and why and how we play, finitely and infinitely. He surveys our world—from the finite games of the playing field and playing board to the infinite games found in culture and religion—leaving all we think we know illuminated and transformed. Along the way, Carse finds new ways of understanding everything, from how an actress portrays a role to how we engage in sex, from the nature of evil to the nature of science. Finite games, he shows, may offer wealth and status, power and glory, but infinite games offer something far more subtle and far grander. Carse has written a book rich in insight and aphorism. Already an international literary event, Finite and Infinite Games is certain to be argued about and celebrated for years to come. Reading it is the first step in learning to play the infinite game.


Economics and Computation

Economics and Computation

Author: Jörg Rothe

Publisher: Springer Nature

Published: 2024

Total Pages: 779

ISBN-13: 3031600991

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This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference aggregation (voting) and judgment aggregation. Part III introduces to fair division, focusing on the division of both a single divisible resource ("cake-cutting") and multiple indivisible and unshareable resources ("multiagent resource allocation"). In all these parts, much weight is given to the algorithmic and complexity-theoretic aspects of problems arising in these areas, and the interconnections between the three parts are of central interest.


What Should Danny Do?

What Should Danny Do?

Author: Adir Levy

Publisher: Power to Choose

Published: 2017-05

Total Pages: 0

ISBN-13: 9780692848388

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Danny is a Superhero-in-Training learning about his most important superpower of all, "The Power to Choose." Written in a "Choose Your Own Story" style, your child will have a blast trying to reach all nine endings. And in the process, they will learn some of life's most important lessons.