The Consistent Preferences Approach to Deductive Reasoning in Games

1. Front Matter

   Pages i-xix

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2. Introduction

   Pages 1-10

3. Motivating Examples

   Pages 11-20

4. Decision-Theoretic Framework

   Pages 21-36

5. Belief Operators

   Pages 37-51

6. Basic Characterizations

   Pages 53-67

7. Relaxing Completeness

   Pages 69-78

8. Backward Induction

   Pages 79-97

9. Sequentiality

   Pages 99-114

10. Quasi-Perfectness

    Pages 115-119

11. Properness

    Pages 121-132

12. Capturing forward Induction through Full Permissibility

    Pages 133-154

13. Applying Full Permissibility to Extensive Games

    Pages 155-174

14. Back Matter

    Pages 175-202

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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.

• Asheim
• Epistemic Modeling
• Equilibrium
• Rationalizability
• decision theory
• game theory
• paraplusig

• University of Oslo, Norway

  Geir B. Asheim

Geir B. Asheim is Professor of Economics at the University of Oslo,

Norway. In additional to investigating epistemic conditions for gametheoretic

solution concepts, he is doing research on questions relating to

intergenerational justice.

Policies and ethics