Homothetic preferences on star-shaped sets
AbstractThis paper describes properties of homothetic preferences on a subset X of a vector space which is star-shaped with respect to 0 (e.g., a cone). We prove that a preference relation on X is homothetic, greedy and calibrated if and only if there exists a positively homogeneous function that represents it. This function is unique up to a strictly increasing and positively homogeneous transformation. As a corollary, we find that, if X is contained in a topological vector space, then ⪰ is homothetic and continuous if and only if there exists a positively homogeneous and continuous function that represents it.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by Springer in its journal Decisions in Economics and Finance.
Volume (Year): 24 (2001)
Issue (Month): 1 ()
Note: Received: 17 April 2000
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/10203/index.htm
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- J. C. R. Alcantud & G. Bosi & C. Rodríguez-Palmero & M. Zuanon, 2003. "The relationship between Mathematical Utility Theory and the Integrability Problem: some arguments in favour," Microeconomics 0308002, EconWPA.
- Osterdal, Lars Peter, 2005. "Axioms for health care resource allocation," Journal of Health Economics, Elsevier, vol. 24(4), pages 679-702, July.
- Bosi, Gianni & Zuanon, Magali E., 2003. "Continuous representability of homothetic preorders by means of sublinear order-preserving functions," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 333-341, July.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
If references are entirely missing, you can add them using this form.