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This book deals with applications of game theory in a wide variety of disciplines.
"Deals with real life situations where objectives of the participants are partially cooperative and partially conflicting"--
It is wonderful to see advanced combinatorial game theory made accessible. Siegel's expertise and enjoyable writing style make this book a perfect resource for anyone wanting to learn the latest developments and open problems in the field. —Erik Demaine, MIT Aaron Siegel has been the major contributor to Combinatorial Game Theory over the last decade or so. Now, in this authoritative work, he has made the latest results in the theory accessible, so that the subject will achieve the place in mathematics that it deserves. —Richard Guy, University of Calgary Combinatorial game theory is the study of two-player games with no hidden information and no chance elements. The theory assigns algeb...
Steven J. Brams is one of the leading game theorists of his generation. This new edition includes brand new material on topics such as fallback bargaining and principles of rational negotiation.
Calculus for the Life Sciences is an entire reimagining of the standard calculus sequence with the needs of life science students as the fundamental organizing principle. Those needs, according to the National Academy of Science, include: the mathematical concepts of change, modeling, equilibria and stability, structure of a system, interactions among components, data and measurement, visualization, and algorithms. This book addresses, in a deep and significant way, every concept on that list. The book begins with a primer on modeling in the biological realm and biological modeling is the theme and frame for the entire book. The authors build models of bacterial growth, light penetration thr...
Realist theory has dominated the study of international relations for more than half a century. In this provocative book, Lee Ryan Miller demonstrates that each of the fundamental assumptions of realism is seriously flawed. Then he pulls together the strands of a number of phenomena that cannot be explained by realism the development of the European Union, the phenomenon of "democratic peace," and the economic success of democratic states to develop a liberal theory of international relations.
This book offers a self-sufficient treatment of a key tool, game theory and mechanism design, to model, analyze, and solve centralized as well as decentralized design problems involving multiple autonomous agents that interact strategically in a rational and intelligent way. The contents of the book provide a sound foundation of game theory and mechanism design theory which clearly represent the “science” behind traditional as well as emerging economic applications for the society.The importance of the discipline of game theory has been recognized through numerous Nobel prizes in economic sciences being awarded to game theorists, including the 2005, 2007, and 2012 prizes. The book distil...
If wars are costly and risky to both sides, why do they occur? Why engage in an arms race when it’s clear that increasing one’s own defense expenditures will only trigger a similar reaction by the other side, leaving both countries just as insecure—and considerably poorer? Just as people buy expensive things precisely because they are more expensive, because they offer the possibility of improved social status or prestige, so too do countries, argues Lilach Gilady. In The Price of Prestige, Gilady shows how many seemingly wasteful government expenditures that appear to contradict the laws of demand actually follow the pattern for what are known as Veblen goods, or positional goods for ...
Teaching Statistics Using Baseball is a collection of case studies and exercises applying statistical and probabilistic thinking to the game of baseball. Baseball is the most statistical of all sports since players are identified and evaluated by their corresponding hitting and pitching statistics. There is an active effort by people in the baseball community to learn more about baseball performance and strategy by the use of statistics. This book illustrates basic methods of data analysis and probability models by means of baseball statistics collected on players and teams. Students often have difficulty learning statistics ideas since they are explained using examples that are foreign to t...
Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts. The authors match conclusions to real-world scenarios and applications. The text engages students in active learning, group work, in-class discussions and interactive simulations. Each chapter provides foundation pieces or adds more features to help readers build game theoretic models. The chapters include definitions, concepts and illustrative examples. The text will engage and challenge both undergraduate and graduate students. Features: Enables readers to apply game theorty to real-world scenarios Chapters can be used for core course materials or independent stuides Exercises, included at the end of the chapters, follow the order of the sections in the text Select answers and solutions are found at the end of the book Solutions manual for instructors is available from the authors