Rational Decisions by Binmore, Ken -- Read -- Imperial Library of Trantor

Index

Cover Half title Title Copyright Dedication Contents Preface 1 Revealed Preference

1.1 Rationality? 1.2 Modeling a Decision Problem 1.3 Reason Is the Slave of the Passions 1.4 Lessons from Aesop 1.5 Revealed Preference 1.6 Rationality and Evolution 1.7 Utility 1.8 Challenging Transitivity 1.9 Causal Utility Fallacy 1.10 Positive and Normative

2 Game Theory

2.1 Introduction 2.2 What Is a Game? 2.3 Paradox of Rationality? 2.4 Newcomb’s Problem 2.5 Extensive Form of a Game

3 Risk

3.1 Risk and Uncertainty 3.2 Von Neumann and Morgenstern 3.3 The St Petersburg Paradox 3.4 Expected Utility Theory 3.5 Paradoxes from A to Z 3.6 Utility Scales 3.7 Attitudes to Risk 3.8 Unbounded Utility? 3.9 Positive Applications?

4 Utilitarianism

4.1 Revealed Preference in Social Choice 4.2 Traditional Approaches to Utilitarianism 4.3 Intensity of Preference 4.4 Interpersonal Comparison of Utility

5 Classical Probability

5.1 Origins 5.2 Measurable Sets 5.3 Kolmogorov’s Axioms 5.4 Probability on the Natural Numbers 5.5 Conditional Probability 5.6 Upper and Lower Probabilities

6 Frequency

6.1 Interpreting Classical Probability 6.2 Randomizing Devices 6.3 Richard von Mises 6.4 Refining von Mises’ Theory 6.5 Totally Muddling Boxes

7 Bayesian Decision Theory

7.1 Subjective Probability 7.2 Savage’s Theory 7.3 Dutch Books 7.4 Bayesian Updating 7.5 Constructing Priors 7.6 Bayesian Reasoning in Games

8 Epistemology

8.1 Knowledge 8.2 Bayesian Epistemology 8.3 Information Sets 8.4 Knowledge in a Large World 8.5 Revealed Knowledge?

9 Large Worlds

9.1 Complete Ignorance 9.2 Extending Bayesian Decision Theory 9.3 Muddled Strategies in Game Theory 9.4 Conclusion

10 Mathematical Notes

10.1 Compatible Preferences 10.2 Hausdorff’s Paradox of the Sphere 10.3 Conditioning on Zero-Probability Events 10.4 Applying the Hahn–Banach Theorem 10.5 Muddling Boxes 10.6 Solving a Functional Equation 10.7 Additivity 10.8 Muddled Equilibria in Game Theory

References Index