Upper semicontinuous utilities for all upper semicontinuous total preorders
Author
Abstract
Suggested Citation
DOI: 10.1016/j.mathsocsci.2025.01.002
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Herden, G., 1991. "Topological spaces for which every continuous total preorder can be represented by a continuous utility function," Mathematical Social Sciences, Elsevier, vol. 22(2), pages 123-136, October.
- Herden, G., 1989. "On the existence of utility functions," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 297-313, June.
- Gianni Bosi & Magalì Zuanon, 2020. "Topologies for the continuous representability of every nontotal weakly continuous preorder," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 369-378, October.
- Herden, G., 1989. "On the existence of utility functions ii," Mathematical Social Sciences, Elsevier, vol. 18(2), pages 107-117, October.
- J. C. R. Alcantud, 1999. "Topological properties of spaces ordered by preferences," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 22, pages 1-11, January.
- Mehta, Ghanshyam, 1988. "Some general theorems on the existence of order-preserving functions," Mathematical Social Sciences, Elsevier, vol. 15(2), pages 135-143, April.
- Jaffray, Jean-Yves, 1975. "Existence of a Continuous Utility Function: An Elementary Proof," Econometrica, Econometric Society, vol. 43(5-6), pages 981-983, Sept.-Nov.
- Campion, Maria J. & Candeal, Juan C. & Indurain, Esteban, 2006. "The existence of utility functions for weakly continuous preferences on a Banach space," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 227-237, March.
- 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.
- Sondermann, Dieter, 1980. "Utility representations for partial orders," Journal of Economic Theory, Elsevier, vol. 23(2), pages 183-188, October.
- Jaffray, Jean-Yves, 1975. "Semicontinuous extension of a partial order," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 395-406, December.
- Ghanshyam B. Mehta, 1997. "A remark on a utility representation theorem of Rader (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 367-370.
- Bosi, Gianni & Herden, Gerhard, 2019. "The structure of useful topologies," Journal of Mathematical Economics, Elsevier, vol. 82(C), pages 69-73.
- J.C.R. Alcantud, 1999. "Weak utilities from acyclicity," Theory and Decision, Springer, vol. 47(2), pages 185-196, October.
- Trout Rader, 1963. "The Existence of a Utility Function to Represent Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 229-232.
- Beardon, Alan F. & Candeal, Juan C. & Herden, Gerhard & Indurain, Esteban & Mehta, Ghanshyam B., 2002. "The non-existence of a utility function and the structure of non-representable preference relations," Journal of Mathematical Economics, Elsevier, vol. 37(1), pages 17-38, February.
- Candeal, Juan C. & Herves, Carlos & Indurain, Esteban, 1998. "Some results on representation and extension of preferences," Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 75-81, January.
- NEUEFEIND, Wilhellm, 1972. "On continuous utility," LIDAM Reprints CORE 113, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Vohra, Ranjit, 1995. "The Souslin Hypothesis and Continuous Utility Functions: A Remark," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 537-540, May.
- Gianni Bosi & Roberto Daris & Gabriele Sbaiz, 2024. "New characterizations of completely useful topologies in mathematical utility theory," Papers 2402.18324, arXiv.org, revised May 2024.
- Herden, G., 1995. "On some equivalent approaches to Mathematical Utility Theory," Mathematical Social Sciences, Elsevier, vol. 29(1), pages 19-31, February.
- Gianni Bosi & Magalì Zuanon, 2021. "Topologies for the Continuous Representability of All Continuous Total Preorders," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 420-431, February.
- Richter, Marcel K, 1980. "Continuous and Semi-Continuous Utility," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(2), pages 293-299, June.
- Romano Isler, 1997. "Semicontinuous utility functions in topological spaces," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 20(1), pages 111-116, June.
- Subiza, Begona & Peris, Josep E., 1997.
"Numerical representation for lower quasi-continuous preferences,"
Mathematical Social Sciences, Elsevier, vol. 33(2), pages 149-156, April.
- Josep Enric Peris Ferrando & Begoña Subiza Martínez, 1996. "Numerical representation for lower quasi-continuous preferences," Working Papers. Serie AD 1996-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Monteiro, Paulo Klinger, 1987. "Some results on the existence of utility functions on path connected spaces," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 147-156, April.
- Neuefeind, Wilhelm, 1972. "On continuous utility," Journal of Economic Theory, Elsevier, vol. 5(1), pages 174-176, August.
- Gianni Bosi & Laura Franzoi, 2023. "A simple characterization of the existence of upper semicontinuous order-preserving functions," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 203-210, October.
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.- Bosi, G. & Mehta, G. B., 2002. "Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 311-328, November.
- Athanasios Andrikopoulos, 2011. "Characterization of the existence of semicontinuous weak utilities for binary relations," Theory and Decision, Springer, vol. 70(1), pages 13-26, January.
- Alcantud, J. C. R. & Rodriguez-Palmero, C., 1999. "Characterization of the existence of semicontinuous weak utilities," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 503-509, December.
- Gianni Bosi & Roberto Daris & Gabriele Sbaiz, 2024. "New characterizations of completely useful topologies in mathematical utility theory," Papers 2402.18324, arXiv.org, revised May 2024.
- Yann Rébillé, 2019.
"Continuous utility on connected separable topological spaces,"
Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 147-153, May.
- Yann Rébillé, 2019. "Continuous utility on connected separable topological spaces," Post-Print hal-03727641, HAL.
- Pivato, Marcus, 2009. "Social choice with approximate interpersonal comparisons of well-being," MPRA Paper 17060, University Library of Munich, Germany.
- Gianni Bosi & Magalì Zuanon, 2021. "Topologies for the Continuous Representability of All Continuous Total Preorders," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 420-431, February.
- Bosi, Gianni & Herden, Gerhard, 2012. "Continuous multi-utility representations of preorders," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 212-218.
- 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.
- Gianni Bosi & Laura Franzoi & Gabriele Sbaiz, 2023. "Properties of Topologies for the Continuous Representability of All Weakly Continuous Preorders," Mathematics, MDPI, vol. 11(20), pages 1-9, October.
- Pivato, Marcus, 2010. "Approximate interpersonal comparisons of well-being," MPRA Paper 25224, University Library of Munich, Germany.
- 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.
- Kopylov, Igor, 2016. "Canonical utility functions and continuous preference extensions," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 32-37.
- Jacques Durieu & Hans Haller & Nicolas Querou & Philippe Solal, 2008.
"Ordinal Games,"
International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 177-194.
- Jacques Durieu & Hans Haller & Nicolas Quérou & Philippe Solal, 2007. "Ordinal Games," Post-Print ujm-00194794, HAL.
- Jacques Durieu & Hans Haller & Nicolas Querou & Philippe Solal, 2007. "Ordinal Games," CER-ETH Economics working paper series 07/74, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
- Gianni Bosi & Magalì Zuanon, 2020. "Topologies for the continuous representability of every nontotal weakly continuous preorder," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 369-378, October.
- Mark Voorneveld & Jörgen Weibull, 2008.
"Outer measure and utility,"
Working Papers
hal-00354246, HAL.
- Voorneveld, Mark & Weibull, Jörgen W., 2008. "Outer measure and utility," SSE/EFI Working Paper Series in Economics and Finance 704, Stockholm School of Economics, revised 06 Apr 2009.
- Campion, Maria J. & Candeal, Juan C. & Indurain, Esteban, 2006. "The existence of utility functions for weakly continuous preferences on a Banach space," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 227-237, March.
- J.C.R. Alcantud, 1999. "Weak utilities from acyclicity," Theory and Decision, Springer, vol. 47(2), pages 185-196, October.
- Bosi, Gianni & Zuanon, Magalì, 2010. "A generalization of Rader's utility representation theorem," MPRA Paper 24314, University Library of Munich, Germany.
- J. Alcantud & G. Bosi & M. Campión & J. Candeal & E. Induráin & C. Rodríguez-Palmero, 2008. "Continuous Utility Functions Through Scales," Theory and Decision, Springer, vol. 64(4), pages 479-494, June.
More about this item
Keywords
Super-short topology; Strongly separable topology; Isolated set; Lindelöf topology;All these keywords.
JEL classification:
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
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:eee:matsoc:v:134:y:2025:i:c:p:31-41. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.