Abstract
We study preferences over lotteries which do not necessarily satisfy completeness. We provide a characterization which generalizes Expected Utility theory. We show in particular that various sure-thing axioms are needed to guaranteee the representability in terms of utility intervals rather than numbers, and to provide a linear interval order representation which is very much in the spirit of Expected Utility theory.
| Original language | English |
|---|---|
| Pages (from-to) | 303-323 |
| Number of pages | 21 |
| Journal | Theory and Decision |
| Volume | 65 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Dec 2008 |
Keywords
- incomplete preference relations
- interval orders
- partial orders
- COMPLETENESS AXIOM
- UTILITY-THEORY
- CHOICE