Author: Geir B. Asheim
Publisher: Springer Science & Business Media
ISBN: 0387262377
Category : Mathematics
Languages : en
Pages : 203
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Book Description
During the last decade I have explored the consequences of what I have chosen to call the 'consistent preferences' approach to deductive reasoning in games. To a great extent this work has been done in coop eration with my co-authors Martin Dufwenberg, Andres Perea, and Ylva Sovik, and it has lead to a series of journal articles. This book presents the results of this research program. Since the present format permits a more extensive motivation for and presentation of the analysis, it is my hope that the content will be of interest to a wider audience than the corresponding journal articles can reach. In addition to active researcher in the field, it is intended for graduate students and others that wish to study epistemic conditions for equilibrium and rationalizability concepts in game theory. Structure of the book This book consists of twelve chapters. The main interactions between the chapters are illustrated in Table 0.1. As Table 0.1 indicates, the chapters can be organized into four dif ferent parts. Chapters 1 and 2 motivate the subsequent analysis by introducing the 'consistent preferences' approach, and by presenting ex amples and concepts that are revisited throughout the book. Chapters 3 and 4 present the decision-theoretic framework and the belief operators that are used in later chapters. Chapters 5, 6, 10, and 11 analyze games in the strategic form, while the remaining chapters-Chapters 7, 8, 9, and 12-are concerned with games in the extensive form.
Author: Theo S. H. Driessen
Publisher: Springer Science & Business Media
ISBN: 354032061X
Category : Business & Economics
Languages : en
Pages : 252
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Book Description
The purpose of this book is to report to the international readership on the sophisticated research by Russian game theorists during the two decades 1968 - 1988. The book includes a collection of contributions in game theory and the related field of equilibrium theory which never had been published in English before. A short historical survey on the development of game theory in the USSR before 1990 is given in the introduction.
Author: Andrés Perea
Publisher: Cambridge University Press
ISBN: 1139510541
Category : Business & Economics
Languages : en
Pages : 581
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Book Description
In everyday life we must often reach decisions while knowing that the outcome will not only depend on our own choice, but also on the choices of others. These situations are the focus of epistemic game theory. Unlike classical game theory, it explores how people may reason about their opponents before they make their final choice in a game. Packed with examples and practical problems based on stories from everyday life, this is the first textbook to explain the principles of epistemic game theory. Each chapter is dedicated to one particular, natural way of reasoning. The book then shows how each of these ways of reasoning will affect the final choices that can rationally be made and how these choices can be found by iterative procedures. Moreover, it does so in a way that uses elementary mathematics and does not presuppose any previous knowledge of game theory.
Author: Johan van Benthem
Publisher: Springer
ISBN: 3662485400
Category : Mathematics
Languages : en
Pages : 333
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Book Description
Strategic behavior is the key to social interaction, from the ever-evolving world of living beings to the modern theatre of designed computational agents. Strategies can make or break participants’ aspirations, whether they are selling a house, playing the stock market, or working toward a treaty that limits global warming. This book aims at understanding the phenomenon of strategic behavior in its proper width and depth. A number of experts have combined forces in order to create a comparative view of the different frameworks for strategic reasoning in social interactions that have been developed in game theory, computer science, logic, linguistics, philosophy, and cognitive and social sciences. The chapters are organized in three topic-based sections, namely reasoning about games; formal frameworks for strategies; and strategies in social situations. The book concludes with a discussion on the future of logical studies of strategies.
Author: William V. Gehrlein
Publisher: Springer Science & Business Media
ISBN: 3540337997
Category : Business & Economics
Languages : en
Pages : 292
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Book Description
The book compiles research on Condorcet's Paradox over some two centuries. It begins with a historical overview of the discovery of Condorcet's Paradox in the 18th Century, reviews numerous studies conducted to find actual occurrences of the paradox, and compiles research that has been done to develop mathematical representations for the probability that the paradox will be observed. Combines all approaches that have been used to study this very interesting phenomenon.
Author: Mohammed Abdellaoui
Publisher: Springer Science & Business Media
ISBN: 3540684379
Category : Business & Economics
Languages : en
Pages : 246
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Book Description
Brings the reader into contact with the accomplished progress in individual decision making through the contributions to uncertainty modeling and behavioral decision making. This work also introduces the reader to the subtle issues to be resolved for rational choice under uncertainty.
Author: Takako Fujiwara-Greve
Publisher: Springer
ISBN: 4431556451
Category : Mathematics
Languages : en
Pages : 260
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Book Description
This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. Many helpful exercises at various levels are provided at the end of each chapter. Therefore, this book is most suitable for readers who intend to study non-cooperative game theory rigorously for both theoretical studies and applications. Game theory consists of non-cooperative games and cooperative games. This book covers only non-cooperative games, which are major tools used in current economics and related areas. Non-cooperative game theory aims to provide a mathematical prediction of strategic choices by decision makers (players) in situations of conflicting interest. Through the logical analyses of strategic choices, we obtain a better understanding of social (economic, business) problems and possible remedies. The book contains many well-known games such as the prisoner’s dilemma, chicken (hawk–dove) game, coordination game, centipede game, and Cournot, Bertrand, and Stackelberg models in oligopoly. It also covers some advanced frameworks such as repeated games with non-simultaneous moves, repeated games with overlapping generations, global games, and voluntarily separable repeated prisoner’s dilemma, so that readers familiar with basic game theory can expand their knowledge. The author’s own research is reflected in topics such as formulations of information and evolutionary stability, which makes this book unique.
Author: Giles Atkinson
Publisher: Edward Elgar Publishing
ISBN: 1782544704
Category : Business & Economics
Languages : en
Pages : 624
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Book Description
This timely and important Handbook takes stock of progress made in our understanding of what sustainable development actually is and how it can be measured and achieved.ø
Author: Paul Weirich
Publisher: MDPI
ISBN: 3038424226
Category : Epistemics
Languages : en
Pages : 189
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Book Description
This book is a printed edition of the Special Issue "Epistemic Game Theory and Modal Logic" that was published in Games
Author: Arthur James Wells
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 1884
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Book Description
