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Rationality and Coordination
. This major new book will be of particular interest not only to philosophers but to decision theorists, political scientists, economists, and researchers in artificial intelligence.
The Economics of Uncertainty and Insurance
This text provides an introduction to the analysis of economic decisions under uncertainty, with particular focus on insurance markets. "The Economics of Uncertainty and Insurance" is relatively short (220 pages) and richly illustrated with 80 figures. It is suitable for both self-study and as the basis for an upper-division undergraduate course. The book is written to be accessible to anyone with minimum knowledge of calculus, in particular the ability to calculate the derivative of a function of one variable. At the end of each chapter there is a collection of exercises that are grouped according to that chapter's sections. Complete and detailed answers for each exercise are given in the last section of each chapter. The book contains a total of 88 fully solved exercises.
Game Theory
This is the first of a two-volume set that provides an introduction to non-cooperative Game Theory. Volume 1 covers the basic concepts, while Volume 2 is devoted to advanced topics.This volume is divided into two parts: Part I deals with games with ordinal payoffs, while Part II covers games with cardinal payoffs. In each part we discuss both strategic-form games and dynamic games. This volume is relatively short (approximately 260 pages) and richly illustrated with approximately 200 figures. It is suitable for both self-study and as the basis for an undergraduate course in game theory as well as (together with Volume 2) a first-year graduate-level class. It is written to be accessible to anybody with high-school level knowledge of mathematics. At the end of each chapter there is a collection of exercises accompanied by detailed answers. Volume 1 contains approximately 90 exercises.
Logic and the Foundations of Game and Decision Theory (LOFT 7)
This volume is a collects papers originally presented at the 7th Conference on Logic and the Foundations of Game and Decision Theory (LOFT), held at the University of Liverpool in July 2006. LOFT is a key venue for presenting research at the intersection of logic, economics, and computer science, and this collection gives a lively and wide-ranging view of an exciting and rapidly growing area.
More Games of No Chance
This 2003 book provides an analysis of combinatorial games - games not involving chance or hidden information. It contains a fascinating collection of articles by some well-known names in the field, such as Elwyn Berlekamp and John Conway, plus other researchers in mathematics and computer science, together with some top game players. The articles run the gamut from theoretical approaches (infinite games, generalizations of game values, 2-player cellular automata, Alpha-Beta pruning under partial orders) to other games (Amazons, Chomp, Dot-and-Boxes, Go, Chess, Hex). Many of these advances reflect the interplay of the computer science and the mathematics. The book ends with a bibliography by A. Fraenkel and a list of combinatorial game theory problems by R. K. Guy. Like its predecessor, Games of No Chance, this should be on the shelf of all serious combinatorial games enthusiasts.
Uncertainty, Rationality, and Agency
This volume concerns Rational Agents - humans, players in a game, software or institutions - which must decide the proper next action in an atmosphere of partial information and uncertainty. The book collects formal accounts of Uncertainty, Rationality and Agency, and also of their interaction. It will benefit researchers in artificial systems which must gather information, reason about it and then make a rational decision on which action to take.
The Theory of Social Situations
This book, first published in 1991, offers an integrative approach to the study of formal models in the social and behavioural sciences. The theory presented here unifies both the representation of the social environment and the equilibrium concept. The theory requires that all alternatives that are available to the players be specified in an explicit and detailed manner, and this specification is defined as a social 'situation'. A situation, therefore, not only consists of the alternatives currently available to the players, but also includes the set of opportunities that might be induced by the players from their current environment. The theory requires that all recommended alternatives be both internally and externally stable; the recommendation cannot be self-defeating and, at the same time, should account for alternatives that were not recommended. In addition to unifying the representation and the solution concept, the theory also extends the social environments accommodated by current game theory.
The Game of Cops and Robbers on Graphs
This book is the first and only one of its kind on the topic of Cops and Robbers games, and more generally, on the field of vertex pursuit games on graphs. The book is written in a lively and highly readable fashion, which should appeal to both senior undergraduates and experts in the field (and everyone in between). One of the main goals of the book is to bring together the key results in the field; as such, it presents structural, probabilistic, and algorithmic results on Cops and Robbers games. Several recent and new results are discussed, along with a comprehensive set of references. The book is suitable for self-study or as a textbook, owing in part to the over 200 exercises. The reader will gain insight into all the main directions of research in the field and will be exposed to a number of open problems.
A Beautiful Math
Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their...
Uncertainty, Risk and Information
This textbook incorporates the author's previous book "The Economics of Uncertainty and Insurance" and extends it with the addition of several new chapters on risk sharing, asymmetric information, adverse selection, signaling and moral hazard. It provides a comprehensive introduction to the analysis of economic decisions under uncertainty and to the role of asymmetric information in contractual relationships. It is richly illustrated with 150 figures. It is suitable for both self-study and as the basis for an upper-division undergraduate course. The book is written to be accessible to anyone with minimum knowledge of calculus, in particular the ability to calculate the (partial) derivative of a function of one or two variables. The book contains a total of 150 fully solved exercises.
