Acknowledgments page xiii
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1. Organization of the Book 3
2 The Theory of Choice . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1. Finite Sets of Actions and Outcomes 7
2. Continuous Choice Spaces∗ 11
3. Utility Theory 18
4. Utility Representations on Continuous Choice Spaces∗ 20
5. Spatial Preferences 21
6. Exercises 25
3 Choice Under Uncertainty . . . . . . . . . . . . . . . . . . . . . . 27
1. The Finite Case 27
2. Risk Preferences 38
3. Learning 46
4. Critiques of Expected Utility Theory 51
5. Time Preferences 57
6. Exercises 62
4 Social Choice Theory . . . . . . . . . . . . . . . . . . . . . . . . . 66
1. The Open Search 66
2. Preference Aggregation Rules 68
3. Collective Choice 76
4. Manipulation of Choice Functions 82
5. Exercises 85
5 Games in the Normal Form . . . . . . . . . . . . . . . . . . . . . . 87
1. The Normal Form 89