Utility Maximization, Choice and Preference, 2nd Edition

✍ Scribed by Fuad Aleskerov, Denis Bouyssou, Bernard Monjardet

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2007
• Tongue: English
• Leaves: 297
• Edition: 2nd
• Category: Library

✦ Synopsis

The utility maximization paradigm forms the basis of many economic, psychological, cognitive and behavioral models. However, numerous examples have revealed the deficiencies of the concept. This book helps to overcome those deficiencies by taking into account insensitivity of measurement threshold and context of choice. The second edition has been updated to include the most recent developments and a new chapter on classic and new results for infinite sets.

✦ Table of Contents

Cover......Page 1
Title Page......Page 5
Acknowledgements......Page 9
Preface......Page 11
Contents......Page 13
1.1 Background and Overview......Page 15
1.2 Content of the Book......Page 22
2.1 Introduction......Page 31
2.2 Binary Relations and Preferences......Page 32
2.3 Binary Relations and Choice......Page 42
2.4 Utility and Choice......Page 45
2.5 Expansion-contraction Axioms......Page 50
2.6 Relations Between the Classes of Choice Functions......Page 58
2.7 Concluding Remarks and Guide to the Literature......Page 61
3.1 Introduction......Page 67
3.2 Non-negative Threshold Functions: the Interval Choice Case......Page 68
3.3 Interval Orders, Semiorders, and Interval Choice......Page 70
3.4 Properties of Interval Orders and Semiorders......Page 83
3.5 Interval Choice and Maximal Antichains......Page 99
3.6 Choice Functions Rationalizable by Interval Orders and Semiorders......Page 105
3.7 Arbitrary Threshold Functions and Biorders......Page 109
3.8 Choice Rationalizable by Biorders......Page 119
3.9 Concluding Remarks and Guide to the Literature......Page 122
4.2 Representation Theorems......Page 127
4.3 Additive Threshold Function......Page 131
4.4 Multiplicative Threshold Function......Page 133
4.5 Properties of Choice Functions......Page 155
4.6 Concluding Remarks and Guide to the Literature......Page 156
5.1 Introduction......Page 159
5.2 Analysis of Choice Models......Page 160
5.3 Properties of Choice Functions......Page 165
5.4 Inclusive and Strongly Inclusive Maximization......Page 174
5.5 Over-value Choice......Page 179
5.6 Binary Rationalizability of Choice......Page 184
5.7 Utility Maximization With an Additive Threshold Function......Page 190
5.8 Properties of Simple Semiorders......Page 202
5.9 Utility Maximization With an Isotone Threshold Function......Page 204
5.10 Concluding Remarks and Guide to the Literature......Page 207
6.1 Introduction......Page 211
6.2 Linear Orders......Page 213
6.3 Weak Orders......Page 218
6.4.1 Preliminaries......Page 222
6.4.2 The countable case......Page 226
6.4.3 The general case......Page 228
6.5.1 Preliminaries......Page 233
6.5.2 The countable case......Page 234
6.6 Semiorders......Page 235
6.6.1 Preliminaries......Page 238
6.6.2.1 The countable case......Page 239
6.6.2.2 The general case......Page 241
6.6.3 Representation with no nesting......Page 242
6.6.4 Constant threshold representation......Page 245
6.7.1 Preliminaries......Page 246
6.7.2 The countable case......Page 248
6.7.3 The general case......Page 249
6.8.1 Linear order......Page 250
6.8.3 Biorder......Page 251
6.8.4 Interval order......Page 252
6.8.5.3 Constant threshold representations......Page 254
6.8.6.1 Acyclic relations......Page 256
6.8.6.2 Partial orders......Page 257
7 Conclusion......Page 259
List of Notations and Symbols......Page 269
References......Page 275
Index......Page 295