Game Theory and Strategy (Mathematical Association of America Textbooks) Review

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(More customer reviews)I found this book to be a very enjoyable read, covering the most interesting ideas in game theory and how they have impacted on other sciences from biology to sociology.
Almost no mathematical knowledge is required, because the text focuses on the ideas not the math.
Even if you want to learn about Game Theory including the mathematical foundation, I recommend to read this book first. It will wet your appetite for Game Theory and show the breath of ideas and applications.

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This book pays careful attention to applications of game theory in a wide variety of disciplines. The applications are treated in considerable depth. The book assumes only high school algebra, yet gently builds to mathematical thinking of some sophistication. Game Theory and Strategy might serve as an introduction to both axiomatic mathematical thinking and the fundamental process of mathematical modelling. It gives insight into both the nature of pure mathematics, and the way in which mathematics can be applied to real problems.

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Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis (Econometric Society Monographs) Review

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(More customer reviews)This book is totally dedicated to matching theory. The book in itself is rather general, it doesn't focus on any particular application, and discusses matching as a general abstract theory. Therefore the book can be used by both micro- and macro people equally. It basically covers the problem of one-to-one and one-to-many matchings and tries to explain when equilibriums exist and if matches are unique or non-unique and comes with algorithms or constructive methods to actually do the matching. The structure of the book is mostly like math books and at each step presents an algorithm or a theorem or lemma that states a result. In most cases the proof comes afterwards. However this doesn't undermine the practicality of the book as you can easily locate the algorithm or theorem that embodies your required result and just use it. In my opinion this is one of those books you want to keep on your shelf and refer to every now and then when need be.

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Two-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This book gives a comprehensive account of recent results concerning the game-theoretic analysis of two-sided matching. The focus of the book is on the stability of outcomes, on the incentives that different rules of organization give to agents, and on the constraints that these incentives impose on the ways such markets can be organized. The results for this wide range of related models and matching situations help clarify which conclusions depend on particular modeling assumptions and market conditions, and which are robust over a wide range of conditions.

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Modeling Bounded Rationality Review

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(More customer reviews)Very well written in terms of technical coverage and originality of modelling bounded rationality and its application to game theory. However, the author develops most of his theories from either assumption and speculation or no justification at all in terms of formally depicting human rationality. It would have been a much more powerful book if there was a greater coverage of empirical evidence and bridging between psychology, artificial intelligence and economics. This lop-sided approach of modelling using solely game theoretic terminology and concepts ambiguous in their relevancy to simulating human thought and behaviour. However, there are some chapters, such as the one on knowledge representation and the other on limited memory that are the exception to this. Overall though, the book is still quite innovative and worth a read.

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The notion of bounded rationality was initiated in the 1950s by HerbertSimon; only recently has it influenced mainstream economics. In this book, ArielRubinstein defines models of bounded rationality as those in which elements of theprocess of choice are explicitly embedded. The book focuses on the challenges ofmodeling bounded rationality, rather than on substantial economic implications.Inthe first part of the book, the author considers the modeling of choice. Afterdiscussing some psychological findings, he proceeds to the modeling of proceduralrationality, knowledge, memory, the choice of what to know, and group decisions.Inthe second part, he discusses the fundamental difficulties of modeling boundedrationality in games. He begins with the modeling of a game with procedural rationalplayers and then surveys repeated games with complexity considerations. He ends witha discussion of computability constraints in games. The final chapter includes acritique by Herbert Simon of the author's methodology and the author's response.TheZeuthen Lecture Book series is sponsored by the Institute of Economics at theUniversity of Copenhagen.

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Statistical Methods in Counterterrorism: Game Theory, Modeling, Syndromic Surveillance, and Biometric Authentication Review

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(More customer reviews)After the 9/11 terrorist attack using commercial airplanes to crash into the pentagon and the world trade center buildings, statisticians among other found their way into developing tools to deal with the such problems. This book is an edited volume of of statistical researchers effort at solving some specific problems addressing potential terrorist attacks and finding ways to prevent future occurrences. Of the topics included are 1. game theory and risk taking, 2. biometric authentication (a pattern recognition technique for matching signatures, 3. matching faces for identification of terriorists using fake identification, 4. and DNA among other things.
Many well known statisticians from RAND, the Naval Postgraduate School, the National Institute of Science and Technology, Los Alamos National Laboratory and some academic institutions present papers on a variety of topics including game theory, biometric authentification, aggregated algorithms, syndromic surveillance, pattern recognition, simulation studies and other counterterrorism approaches.
This book is the first of its kind and it really shows how statistics can play a major role as analytic tools for counterterrorism.

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With the realization that many clues and hints preceded the September 11 terrorist attacks, statisticians became an important part of the global war on terror. This book surveys emerging research at the intersection of national security and statistical sciences. In it, a diverse group of talented researchers address such topics as Syndromic Surveillance; Modeling and Simulation; Biometric Authentication; and Game Theory. The book includes general reviews of quantitative approaches to counterterrorism, for decision makers with policy backgrounds, as well as technical treatments of statistical issues that will appeal to quantitative researchers.

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Game Theory Evolving: A Problem-Centered Introduction to Modeling Strategic Interaction (Second Edition) Review

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(More customer reviews)Herb Gintis is an economist with a strong interest in the assumptions we make about human rationality in our social, political, and economic theories. He has produced a remarkable and deceptively innovative text that could productively be used in a broad range of fields.
The topic of game theory is interesting to many people because it describes interaction between competitors, presumably helping us pick the best strategy if the circumstances are well enough understood. We might wonder whether the circumstances are well enough understood in daily life to apply the methods of game theory to our own choices, since it usually to assume that we are rational competitors trying to maximize our own gain.
Game Theory Evolving addresses this fascinating question not from a theoretical perspective so much as giving the reader the tools for investigating it themselves in two distinct but complementary ways.
First, it provides practical problem-oriented chapters for learning the principles and thinking in terms of game theoretic methods. The problems are not the usual textbook "who cares, anyway ?" type. Rather they are fun and interesting to solve and often lead to direct insights into real situations.
Second, it extends game theory into the realm of evolutionary thinking, so we not only understand strategic action but we get some deeper insight into how our historical needs shaped our behavior and even our thought processes. Game theory may help explain how we learned to cooperate and why under some conditions we tend to punish cheaters and treat people fairly even though it provides no apparent advantage to us.
Disguised as a lowly academic textbook, Game Theory Evolving is actually a basic toolkit, a passport into the remarkable modern study of evolutionary thinking about human nature, through a practical grounding in the mathematical techniques that have the potential to join our understanding of social sciences and biology.

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