Representations of preorders by strong multi-objective functions
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Schmeidler, David, 1971.
"A Condition for the Completeness of Partial Preference Relations,"
Econometrica, Econometric Society, vol. 39(2), pages 403-404, March.
- SCHMEIDLER, David, 1971. "A condition for the completeness of partial preference relations," LIDAM Reprints CORE 86, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Herden, Gerhard & Pallack, Andreas, 2002. "On the continuous analogue of the Szpilrajn Theorem I," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 115-134, March.
- Juan Dubra & Fabio Maccheroni & Efe A. Ok, 2004. "Expected Utility Without the Completeness Axiom," Yale School of Management Working Papers ysm404, Yale School of Management.
- Kaminski, B., 2007. "On quasi-orderings and multi-objective functions," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1591-1598, March.
- Bergstrom, Theodore C., 1975. "Maximal elements of acyclic relations on compact sets," Journal of Economic Theory, Elsevier, vol. 10(3), pages 403-404, June.
- Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004.
"Expected utility theory without the completeness axiom,"
Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
- Juan Dubra & Fabio Maccheroni & Efe Oki, 2001. "Expected utility theory without the completeness axiom," ICER Working Papers - Applied Mathematics Series 11-2001, ICER - International Centre for Economic Research.
- Juan Dubra & Fabio Maacheroni & Efe A. Ok, 2001. "Expected Utility Theory without the Completeness Axiom," Cowles Foundation Discussion Papers 1294, Cowles Foundation for Research in Economics, Yale University.
- Herden, Gerhard & Levin, Vladimir L., 2012. "Utility representation theorems for Debreu separable preorders," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 148-154.
- Bosi, Gianni & Herden, Gerhard, 2012. "Continuous multi-utility representations of preorders," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 212-218.
- Ok, Efe A., 2002. "Utility Representation of an Incomplete Preference Relation," Journal of Economic Theory, Elsevier, vol. 104(2), pages 429-449, June.
- Peleg, Bezalel, 1970. "Utility Functions for Partially Ordered Topological Spaces," Econometrica, Econometric Society, vol. 38(1), pages 93-96, January.
- Bosi, Gianni & Caterino, Alessandro & Ceppitelli, Rita, 2009. "Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions," MPRA Paper 14808, University Library of Munich, Germany.
- Evren, Özgür & Ok, Efe A., 2011. "On the multi-utility representation of preference relations," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 554-563.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Pedro Hack & Daniel A. Braun & Sebastian Gottwald, 2022. "On a geometrical notion of dimension for partially ordered sets," Papers 2203.16272, arXiv.org, revised Sep 2022.
- Pedro Hack & Daniel A. Braun & Sebastian Gottwald, 2022. "Representing preorders with injective monotones," Theory and Decision, Springer, vol. 93(4), pages 663-690, November.
- Pedro Hack & Daniel A. Braun & Sebastian Gottwald, 2022. "The classification of preordered spaces in terms of monotones: complexity and optimization," Papers 2202.12106, arXiv.org, revised Aug 2022.
- Alcantud, José Carlos R. & Dubey, Ram Sewak, 2014. "Ordering infinite utility streams: Efficiency, continuity, and no impatience," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 33-40.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- José Carlos R. Alcantud & Gianni Bosi & Magalì Zuanon, 2016. "Richter–Peleg multi-utility representations of preorders," Theory and Decision, Springer, vol. 80(3), pages 443-450, March.
- Cosimo Munari, 2020. "Multi-utility representations of incomplete preferences induced by set-valued risk measures," Papers 2009.04151, arXiv.org.
- Bosi, Gianni & Herden, Gerhard, 2012. "Continuous multi-utility representations of preorders," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 212-218.
- Gorno, Leandro & Rivello, Alessandro T., 2023.
"A maximum theorem for incomplete preferences,"
Journal of Mathematical Economics, Elsevier, vol. 106(C).
- Leandro Gorno & Alessandro Rivello, 2020. "A Maximum Theorem for Incomplete Preferences," Papers 2007.09781, arXiv.org, revised Nov 2021.
- Cosimo Munari, 2021. "Multi-utility representations of incomplete preferences induced by set-valued risk measures," Finance and Stochastics, Springer, vol. 25(1), pages 77-99, January.
- Evren, Özgür & Ok, Efe A., 2011. "On the multi-utility representation of preference relations," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 554-563.
- Leandro Gorno, 2018. "The structure of incomplete preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(1), pages 159-185, July.
- Giarlotta, Alfio & Greco, Salvatore, 2013. "Necessary and possible preference structures," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 163-172.
- Marcus Pivato, 2020. "Subjective expected utility with a spectral state space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 249-313, March.
- Leandro Nascimento, 2011. "Remarks on the consumer problem under incomplete preferences," Theory and Decision, Springer, vol. 70(1), pages 95-110, January.
- Pivato, Marcus, 2009. "Social choice with approximate interpersonal comparisons of well-being," MPRA Paper 17060, University Library of Munich, Germany.
- Bosi, Gianni & Herden, Gerhard, 2016. "On continuous multi-utility representations of semi-closed and closed preorders," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 20-29.
- McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2021.
"Expected utility theory on mixture spaces without the completeness axiom,"
Journal of Mathematical Economics, Elsevier, vol. 97(C).
- David McCarthy & Kalle Mikkola & Teruji Thomas, 2021. "Expected utility theory on mixture spaces without the completeness axiom," Papers 2102.06898, arXiv.org.
- Pivato, Marcus, 2013.
"Multiutility representations for incomplete difference preorders,"
Mathematical Social Sciences, Elsevier, vol. 66(3), pages 196-220.
- Pivato, Marcus, 2012. "Multiutility representations for incomplete difference preorders," MPRA Paper 41182, University Library of Munich, Germany.
- Uyanik, Metin & Khan, M. Ali, 2022.
"The continuity postulate in economic theory: A deconstruction and an integration,"
Journal of Mathematical Economics, Elsevier, vol. 101(C).
- Metin Uyanik & M. Ali Khan, 2021. "The Continuity Postulate in Economic Theory: A Deconstruction and an Integration," Papers 2108.11736, arXiv.org, revised Jan 2022.
- Quartieri, Federico, 2022. "A unified view of the existence of maximals," Journal of Mathematical Economics, Elsevier, vol. 99(C).
- A. Zapata & A. M. Mármol & L. Monroy & M. A. Caraballo, 2019. "A Maxmin Approach for the Equilibria of Vector-Valued Games," Group Decision and Negotiation, Springer, vol. 28(2), pages 415-432, April.
- Pedro Hack & Daniel A. Braun & Sebastian Gottwald, 2022. "Representing preorders with injective monotones," Theory and Decision, Springer, vol. 93(4), pages 663-690, November.
- Gerasímou, Georgios, 2010.
"Consumer theory with bounded rational preferences,"
Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 708-714, September.
- Gerasimou, Georgios, 2009. "Consumer theory with bounded rational preferences," MPRA Paper 18673, University Library of Munich, Germany, revised 16 Nov 2009.
- Susumu Cato, 2013. "Quasi-decisiveness, quasi-ultrafilter, and social quasi-orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 169-202, June.
More about this item
Keywords
Multi-utility representation; Richter-Peleg utility; Strong multi-utility;All these keywords.
JEL classification:
- C0 - Mathematical and Quantitative Methods - - General
- D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
NEP fields
This paper has been announced in the following NEP Reports:- NEP-MIC-2013-12-29 (Microeconomics)
- NEP-UPT-2013-12-29 (Utility Models and Prospect Theory)
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:52329. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.