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On the multi-utility representation of preference relations

Citations

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Cited by:

  1. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2020. "Utilitarianism with and without expected utility," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 77-113.
  2. Panagiotis Andrikopoulos & Nick Webber, 2019. "Understanding time-inconsistent heterogeneous preferences in economics and finance: a practice theory approach," Annals of Operations Research, Springer, vol. 282(1), pages 3-26, November.
  3. Danan, Eric & Gajdos, Thibault & Tallon, Jean-Marc, 2013. "Aggregating sets of von Neumann–Morgenstern utilities," Journal of Economic Theory, Elsevier, vol. 148(2), pages 663-688.
  4. Özgür Evren, 2012. "Scalarization Methods and Expected Multi-Utility Representations," Working Papers w0174, New Economic School (NES).
  5. 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.
  6. 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.
  7. Galaabaatar, Tsogbadral & Khan, M. Ali & Uyanık, Metin, 2019. "Completeness and transitivity of preferences on mixture sets," Mathematical Social Sciences, Elsevier, vol. 99(C), pages 49-62.
  8. Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2017. "A Comprehensive Approach to Revealed Preference Theory," American Economic Review, American Economic Association, vol. 107(4), pages 1239-1263, April.
  9. Philippe Bich & Rida Laraki, 2017. "Externalities in economies with endogenous sharing rules," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 127-137, October.
  10. Philippe Bich & Rida Laraki, 2017. "Externalities in Economies with Endogenous Sharing Rules," PSE-Ecole d'économie de Paris (Postprint) halshs-01437507, HAL.
  11. McClellon, Morgan, 2016. "Confidence models of incomplete preferences," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 30-34.
  12. Candeal, Juan C., 2022. "Bi-utility representable orderings on a countable set," Economics Letters, Elsevier, vol. 217(C).
  13. Samuel Drapeau & Asgar Jamneshan, 2014. "Conditional Preference Orders and their Numerical Representations," Papers 1410.5466, arXiv.org, revised Jan 2016.
  14. Itzhak Gilboa & Fabio Maccheroni & Massimo Marinacci & David Schmeidler, 2010. "Objective and Subjective Rationality in a Multiple Prior Model," Econometrica, Econometric Society, vol. 78(2), pages 755-770, March.
  15. Cesar Martinelli & Mikhail Freer, 2016. "General Revealed Preferences," Working Papers 1059, George Mason University, Interdisciplinary Center for Economic Science, revised Jun 2016.
  16. Philippe Bich & Rida Laraki, 2015. "Abstract Economies with Endogenous Sharing Rules," Documents de travail du Centre d'Economie de la Sorbonne 15058, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  17. Attila Ambrus & Kareen Rozen, 2015. "Rationalising Choice with Multi‐self Models," Economic Journal, Royal Economic Society, vol. 125(585), pages 1136-1156, June.
  18. Kabanov, Yuri & Lépinette, Emmanuel, 2013. "Essential supremum and essential maximum with respect to random preference relations," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 488-495.
  19. Cosimo Munari, 2020. "Multi-utility representations of incomplete preferences induced by set-valued risk measures," Papers 2009.04151, arXiv.org.
  20. Giovanni Paolo Crespi & Andreas H. Hamel & Matteo Rocca & Carola Schrage, 2021. "Set Relations via Families of Scalar Functions and Approximate Solutions in Set Optimization," Mathematics of Operations Research, INFORMS, vol. 46(1), pages 361-381, February.
  21. 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.
  22. Piermont, Evan, 2017. "Introspective unawareness and observable choice," Games and Economic Behavior, Elsevier, vol. 106(C), pages 134-152.
  23. Evren, Özgür, 2014. "Scalarization methods and expected multi-utility representations," Journal of Economic Theory, Elsevier, vol. 151(C), pages 30-63.
  24. Gianni Bosi & Magalì E. Zuanon, 2017. "Maximal elements of quasi upper semicontinuous preorders on compact spaces," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 109-117, April.
  25. 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).
  26. Philippe Bich & Rida Laraki, 2015. "Abstract Economies with Endogenous Sharing Rules," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01179102, HAL.
  27. Leandro Nascimento, 2011. "Remarks on the consumer problem under incomplete preferences," Theory and Decision, Springer, vol. 70(1), pages 95-110, January.
  28. 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.
  29. repec:san:wpecon:1305 is not listed on IDEAS
  30. Giarlotta, Alfio & Greco, Salvatore, 2013. "Necessary and possible preference structures," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 163-172.
  31. Eric Danan, 2010. "Randomization vs. Selection: How to Choose in the Absence of Preference?," Management Science, INFORMS, vol. 56(3), pages 503-518, March.
  32. Drapeau, Samuel & Jamneshan, Asgar, 2016. "Conditional preference orders and their numerical representations," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 106-118.
  33. Gorno, Leandro & Rivello, Alessandro T., 2023. "A maximum theorem for incomplete preferences," Journal of Mathematical Economics, Elsevier, vol. 106(C).
  34. Bade, Sophie & Segal-Halevi, Erel, 2023. "Fairness for multi-self agents," Games and Economic Behavior, Elsevier, vol. 141(C), pages 321-336.
  35. Quartieri, Federico, 2022. "A unified view of the existence of maximals," Journal of Mathematical Economics, Elsevier, vol. 99(C).
  36. Philippe Bich & Rida Laraki, 2015. "Abstract Economies with Endogenous Sharing Rules," Post-Print halshs-01179102, HAL.
  37. Marcelo De Carvalho Griebeler, 2016. "On The Existence Of Loss Function For Some Useful Classes Of Central Bankers," Anais do XLII Encontro Nacional de Economia [Proceedings of the 42nd Brazilian Economics Meeting] 121, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
  38. Asier Estevan & Roberto Maura & Oscar Valero, 2024. "Intergenerational Preferences and Continuity: Reconciling Order and Topology," Papers 2402.01699, arXiv.org.
  39. 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.
  40. Pivato, Marcus, 2010. "Approximate interpersonal comparisons of well-being," MPRA Paper 25224, University Library of Munich, Germany.
  41. Quartieri, Federico, 2021. "Existence of maximals via right traces," MPRA Paper 107189, University Library of Munich, Germany.
  42. Cato, Susumu, 2018. "Incomplete decision-making and Arrow’s impossibility theorem," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 58-64.
  43. Georgios Gerasimou, 2020. "Decision Conflict, Logit, and the Outside Option," Papers 2008.04229, arXiv.org, revised Nov 2024.
  44. Federico Quartieri, 2022. "On the Existence of Greatest Elements and Maximizers," Journal of Optimization Theory and Applications, Springer, vol. 195(2), pages 375-389, November.
  45. Gerasímou, Georgios, 2010. "Consumer theory with bounded rational preferences," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 708-714, September.
  46. Pivato, Marcus, 2013. "Multiutility representations for incomplete difference preorders," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 196-220.
  47. Gianni Bosi & Asier Estevan & Armajac Raventós-Pujol, 2020. "Topologies for semicontinuous Richter–Peleg multi-utilities," Theory and Decision, Springer, vol. 88(3), pages 457-470, April.
  48. Pedro Hack & Daniel A. Braun & Sebastian Gottwald, 2023. "The classification of preordered spaces in terms of monotones: complexity and optimization," Theory and Decision, Springer, vol. 94(4), pages 693-720, May.
  49. Efe A. Ok & Gil Riella, 2014. "Topological Closure of Translation Invariant Preorders," Mathematics of Operations Research, INFORMS, vol. 39(3), pages 737-745, August.
  50. Alcantud, José Carlos R. & Bosi, Gianni & Zuanon, Magalì, 2013. "Representations of preorders by strong multi-objective functions," MPRA Paper 52329, University Library of Munich, Germany.
  51. Li, Boyao, 2023. "Random utility models with status quo bias," Journal of Mathematical Economics, Elsevier, vol. 105(C).
  52. John Quah & Hiroki Nishimura & Efe A. Ok, 2013. "A Unified Approach to Revealed Preference Theory: The Case of Rational Choice," Economics Series Working Papers 686, University of Oxford, Department of Economics.
  53. Henrik Petri, 2018. "A “three-sentence proof” of Hansson’s theorem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 111-114, April.
  54. Pivato, Marcus, 2009. "Social choice with approximate interpersonal comparisons of well-being," MPRA Paper 17060, University Library of Munich, Germany.
  55. 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.
  56. Makoto Hagiwara, 2024. "The focal Luce model with status Quo," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 107-117, June.
  57. Greco, Salvatore & Ishizaka, Alessio & Tasiou, Menelaos & Torrisi, Gianpiero, 2019. "Sigma-Mu efficiency analysis: A methodology for evaluating units through composite indicators," European Journal of Operational Research, Elsevier, vol. 278(3), pages 942-960.
  58. repec:hal:pseose:halshs-00788647 is not listed on IDEAS
  59. Weixuan Xia, 2023. "Optimal Consumption--Investment Problems under Time-Varying Incomplete Preferences," Papers 2312.00266, arXiv.org, revised Jan 2025.
  60. Pedro Hack & Daniel A. Braun & Sebastian Gottwald, 2022. "Representing preorders with injective monotones," Theory and Decision, Springer, vol. 93(4), pages 663-690, November.
  61. Bosi, Gianni & Herden, Gerhard, 2012. "Continuous multi-utility representations of preorders," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 212-218.
  62. Asier Estevan & Roberto Maura & Óscar Valero, 2023. "Quasi-Metrics for Possibility Results: Intergenerational Preferences and Continuity," Mathematics, MDPI, vol. 11(2), pages 1-19, January.
  63. Eric Danan & Thibault Gajdos & Jean-Marc Tallon, 2010. "Aggregating sets of von Neumann-Morgenstern," Documents de travail du Centre d'Economie de la Sorbonne 10068, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  64. Kabanov, Yuri & Lépinette, Emmanuel, 2013. "Essential supremum with respect to a random partial order," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 478-487.
  65. Dino Borie, 2020. "Finite expected multi-utility representation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 325-331, October.
  66. Andreas H. Hamel & Sophie Qingzhen Wang, 2017. "A set optimization approach to utility maximization under transaction costs," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 257-275, November.
  67. Paolo Leonetti, 2022. "Expected multi-utility representations of preferences over lotteries," Papers 2210.04739, arXiv.org, revised Jan 2024.
  68. 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.
  69. 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.
  70. Attila Ambrus & Kareen Rozen, 2008. "Revealed Conflicting Preferences," Levine's Working Paper Archive 122247000000002161, David K. Levine.
  71. Philippe Bich & Rida Laraki, 2017. "Externalities in Economies with Endogenous Sharing Rules," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01437507, HAL.
  72. Guney, Begum & Richter, Michael & Tsur, Matan, 2018. "Aspiration-based choice," Journal of Economic Theory, Elsevier, vol. 176(C), pages 935-956.
  73. Shaofang Qi, 2016. "A characterization of the n-agent Pareto dominance relation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 695-706, March.
  74. 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.
  75. Karni, Edi, 2020. "Probabilistic sophistication without completeness," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 8-13.
  76. Philippe Bich & Rida Laraki, 2017. "Externalities in Economies with Endogenous Sharing Rules," Post-Print halshs-01437507, HAL.
  77. Benita, Francisco & Nasini, Stefano & Nessah, Rabia, 2022. "A cooperative bargaining framework for decentralized portfolio optimization," Journal of Mathematical Economics, Elsevier, vol. 103(C).
  78. 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.
  79. Lawrence Carr, 2015. "Existence of continuous euclidean embeddings for a weak class of orders," Papers 1508.00607, arXiv.org, revised Jan 2021.
  80. Michael Mandler, 2021. "The lexicographic method in preference theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 553-577, March.
  81. Bosi, Gianni & Herden, Gerhard, 2014. "Topological spaces for which every closed and semi-closed preorder respectively admits a continuous multi-utility representation," MPRA Paper 53404, University Library of Munich, Germany.
  82. Efe A. Ok & Pietro Ortoleva & Gil Riella, 2015. "Revealed (P)Reference Theory," American Economic Review, American Economic Association, vol. 105(1), pages 299-321, January.
  83. Nishimura, Hiroki & Ok, Efe A., 2016. "Utility representation of an incomplete and nontransitive preference relation," Journal of Economic Theory, Elsevier, vol. 166(C), pages 164-185.
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