Abstract
We investigate how to model indifference with choice functions. We take the coherence axioms for choice functions proposed by Seidenfeld, Schervisch and Kadane as a source of inspiration, but modify them to strengthen the connection with desirability. We discuss the properties of choice functions that are coherent under our modified set of axioms and the connection with desirability. Once this is in place, we present an axiomatisation of indifference in terms of desirability. On this we build our definition of indifference in terms of choice functions, which we discuss in some detail.
| Original language | English |
|---|---|
| Pages (from-to) | 1-36 |
| Number of pages | 36 |
| Journal | Fuzzy Sets and Systems |
| Volume | 341 |
| DOIs | |
| Publication status | Published - 15 Jun 2018 |
| Externally published | Yes |
Funding
Gert de Cooman's research was partly funded through project number 3G012512 of the Research Foundation Flanders (FWO). Erik Quaeghebeur's contribution was partly funded through the Safe Statistics project financed by the Netherlands Organisation for Scientific Research (NWO) while he was working at the Centrum Wiskunde & Informatica (CWI) in Amsterdam, the Netherlands. Enrique Miranda acknowledges financial support by project TIN2014-59543-P of the Spanish Ministry of Economy and Competitiveness . The authors would like to express their gratitude to anonymous reviewers of both this paper and an earlier conference version for their helpful comments and suggestions, and to Jasper De Bock for the undominated background noise and stimulating discussion. Appendix A
Fingerprint
Dive into the research topics of 'Coherent choice functions, desirability and indifference'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver