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Book Categories |
1 | Introduction | 1 |
I | Basic Mathematics | 7 |
2 | Totally preordered sets | 9 |
3 | Preferences and preference functions | 27 |
4 | Totally preordered product sets | 31 |
5 | A subset of a product set | 39 |
6 | Mean groupoids | 49 |
7 | Products of two sets as a mean groupoid | 69 |
II | Relations on Function Spaces | 81 |
8 | Totally preordered function spaces | 83 |
9 | Relations on function spaces | 113 |
III | Relations on Measures | 131 |
10 | Relations on sets of probability measures | 133 |
IV | Integral Representations | 147 |
11 | A general integral representation | 149 |
12 | Special integral representations | 169 |
V | Decompositions and Uncertainty | 187 |
13 | Decompositions. Uncertainty | 189 |
14 | Uncertainty on products | 201 |
15 | Conditional uncertainty | 221 |
VI | Applications | 225 |
16 | Production, utility, preference | 227 |
17 | Preferences over time | 231 |
18 | A foundation for statistics | 243 |
References | 253 | |
Index | 269 |
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