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# Additive representations on rank-ordered sets : II. The topological approach

## Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
**Cited by:**

- Nicolas Gravel & Thierry Marchant, 2022.
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**Rank Dependent Weighted Average Utility Models for Decision Making under Ignorance or Objective Ambiguity**," AMSE Working Papers 2223, Aix-Marseille School of Economics, France.- Nicolas Gravel & Thierry Marchant, 2022.
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**Rank Dependent Weighted Average Utility Models for Decision Making under Ignorance or Objective Ambiguity**," Working Papers hal-03817362, HAL.

- Nicolas Gravel & Thierry Marchant, 2022.
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- Han Bleichrodt & José-Luis Pinto-Prades, 2004.
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**The Validity of QALYs Under Non-Expected Utility**," Working Papers 113, Barcelona School of Economics. - Marcus Pivato, 2021.
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**Intertemporal Choice with Continuity Constraints**," Mathematics of Operations Research, INFORMS, vol. 46(3), pages 1203-1229, August.- Marcus Pivato, 2021.
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**Intertemporal Choice with Continuity Constraints**," Post-Print hal-03637876, HAL.

- Marcus Pivato, 2021.
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- Ulrich Schmidt & Horst Zank, 2022.
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**Chance theory: A separation of riskless and risky utility**," Journal of Risk and Uncertainty, Springer, vol. 65(1), pages 1-32, August. - Webb, Craig S. & Zank, Horst, 2011.
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**Accounting for optimism and pessimism in expected utility**," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 706-717.- Craig Webb & Horst Zank, 2011.
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**Accounting for Optimism and Pessimism in Expected Utility**," Economics Discussion Paper Series 1111, Economics, The University of Manchester.

- Craig Webb & Horst Zank, 2011.
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- Dino Borie, 2016.
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**Additively Separable Preferences Without the Completeness Axiom: An Algebraic Approach**," GREDEG Working Papers 2016-11, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France. - Bart Capéau & Erwin Ooghe, 2004.
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**On the reconciliation of efficiency and inequality aversion with heterogeneous populations: characterization results**," Public Economics Working Paper Series wpeiahp, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics. - Zank, H., 1998.
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**Cumulative prospect theory for parametric and multiattribute utilities**," Research Memorandum 019, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR). - Duncan Luce, R. & Marley, A. A. J., 2000.
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**Separable and additive representations of binary gambles of gains**," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 277-295, November. - Marcus Pivato, 2020.
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**Rank-additive population ethics**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 861-918, June. - Zhou, Lin, 1999.
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**Subjective probability theory with continuous acts**," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 121-130, August. - Shiri Alon, 2014.
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**Derivation of a Cardinal Utility Through a Weak Trade-off Consistency Requirement**," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 290-300, May. - H Zank, 2004.
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**Deriving Rank-Dependent Expected Utility Through Probabilistic Consistency**," Economics Discussion Paper Series 0409, Economics, The University of Manchester. - Horst Zank, 2001.
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**Cumulative Prospect Theory for Parametric and Multiattribute Utilities**," Mathematics of Operations Research, INFORMS, vol. 26(1), pages 67-81, February. - Matthew Sobel, 2013.
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**Discounting axioms imply risk neutrality**," Annals of Operations Research, Springer, vol. 208(1), pages 417-432, September. - Diecidue, Enrico & Schmidt, Ulrich & Zank, Horst, 2009.
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**Parametric weighting functions**," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1102-1118, May.- Enrico Diecidue & Ulrich Schmidt & Horst Zank, 2006.
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**Parametric Weighting Functions**," Economics Discussion Paper Series 0622, Economics, The University of Manchester. - Diecidue, Enrico & Schmidt, Ulrich & Zank, Horst, 2008.
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**Parametric weighting functions**," Kiel Working Papers 1395, Kiel Institute for the World Economy (IfW Kiel). - Zank, Horst & Schmidt, Ulrich & Diecidue, Enrico, 2007.
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**Parametric Weighting Functions**," Economics Working Papers 2007-01, Christian-Albrechts-University of Kiel, Department of Economics.

- Enrico Diecidue & Ulrich Schmidt & Horst Zank, 2006.
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- Zuber, Stéphane & Asheim, Geir B., 2012.
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**Justifying social discounting: The rank-discounted utilitarian approach**," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1572-1601.- Stéphane Zuber & Geir B. Asheim, 2010.
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**Justifying Social Discounting: The Rank-Discounted Utilitarian Approach**," CESifo Working Paper Series 3192, CESifo. - ZUBER, Stéphane, 2010.
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**Justifying social discounting: the rank-discounted utilitarian approach**," LIDAM Discussion Papers CORE 2010036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

- Stéphane Zuber & Geir B. Asheim, 2010.
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- Tangian, Andranik, 2004.
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**A model for ordinally constructing additive objective functions**," European Journal of Operational Research, Elsevier, vol. 159(2), pages 476-512, December. - Mongin, Philippe & Pivato, Marcus, 2015.
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**Ranking multidimensional alternatives and uncertain prospects**," Journal of Economic Theory, Elsevier, vol. 157(C), pages 146-171.- Mongin, Philippe & Pivato, Marcus, 2012.
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**Ranking Multidimensional Alternatives and Uncertain Prospects**," MPRA Paper 42515, University Library of Munich, Germany. - Marcus Pivato & Philippe Mongin, 2014.
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**Ranking Multidimensional Alternatives and Uncertain Prospects**," THEMA Working Papers 2014-15, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. - Marcus Pivato & Philippe Mongin, 2015.
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**Ranking Multidimensional Alternatives and Uncertain Prospects**," Post-Print hal-02979919, HAL.

- Mongin, Philippe & Pivato, Marcus, 2012.
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- Blackorby, Charles & Donaldson, David & Weymark, John A., 1999.
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**Harsanyi's social aggregation theorem for state-contingent alternatives1**," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 365-387, November. - Chateauneuf, Alain, 1999.
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**Comonotonicity axioms and rank-dependent expected utility theory for arbitrary consequences**," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 21-45, August. - Wakker, Peter, 1996.
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**The sure-thing principle and the comonotonic sure-thing principle: An axiomatic analysis**," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 213-227. - Uyanik, Metin & Khan, M. Ali, 2022.
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**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.
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**The Continuity Postulate in Economic Theory: A Deconstruction and an Integration**," Papers 2108.11736, arXiv.org, revised Jan 2022.

- Metin Uyanik & M. Ali Khan, 2021.
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- Mohammed Abdellaoui & Olivier L’Haridon & Horst Zank, 2010.
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**Separating curvature and elevation: A parametric probability weighting function**," Journal of Risk and Uncertainty, Springer, vol. 41(1), pages 39-65, August.- Olivier L'Haridon & Mohammed Abdellaoui & Horst Zank, 2010.
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**Separating curvature and elevation: A parametric probability weighting function**," Post-Print hal-00528381, HAL.

- Olivier L'Haridon & Mohammed Abdellaoui & Horst Zank, 2010.
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- LiCalzi, Marco, 1998.
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**Variations on the measure representation approach**," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 255-269, April. - Schmidt, Ulrich & Zank, Horst, 2009.
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**A simple model of cumulative prospect theory**," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 308-319, March.- U Schmidt & H Zank, 2002.
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**A Simple Model of Cumulative Prospect Theory**," Economics Discussion Paper Series 0206, Economics, The University of Manchester.

- U Schmidt & H Zank, 2002.
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- Birnbaum, Michael H. & Zimmermann, Jacqueline M., 1998.
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**Buying and Selling Prices of Investments: Configural Weight Model of Interactions Predicts Violations of Joint Independence**," Organizational Behavior and Human Decision Processes, Elsevier, vol. 74(2), pages 145-187, May. - Veronika Köbberling & Peter P. Wakker, 2003.
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**Preference Foundations for Nonexpected Utility: A Generalized and Simplified Technique**," Mathematics of Operations Research, INFORMS, vol. 28(3), pages 395-423, August. - Mohammed Abdellaoui & Olivier l’Haridon & Horst Zank, 2009.
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**Separating Curvature and Elevation: A Parametric Weighting Function**," Economics Discussion Paper Series 0901, Economics, The University of Manchester. - Craig S. Webb, 2017.
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**Piecewise linear rank-dependent utility**," Theory and Decision, Springer, vol. 82(3), pages 403-414, March. - Wakker, Peter P. & Zank, Horst, 2002.
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**A simple preference foundation of cumulative prospect theory with power utility**," European Economic Review, Elsevier, vol. 46(7), pages 1253-1271, July. - Zank H., 1998.
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**Cumulative Prospect Theory for Parametric and Multiattribute Utilities**," Research Memorandum 008, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR). - Pivato, Marcus & Vergopoulos, Vassili, 2020.
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**Subjective expected utility with imperfect perception**," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 104-122. - Katarzyna M. Werner & Horst Zank, 2019.
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**A revealed reference point for prospect theory**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 731-773, June. - Bommier, Antoine, 2017.
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**A dual approach to ambiguity aversion**," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 104-118.- Antoine Bommier, 2014.
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**A Dual Approach to Ambiguity Aversion**," CER-ETH Economics working paper series 14/207, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.

- Antoine Bommier, 2014.
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- Capeau, Bart & Ooghe, Erwin, 2007.
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**On comparing heterogeneous populations: Is there really a conflict between welfarism and a concern for greater equality in living standards?**," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 1-28, January. - Ulrich Schmidt & Horst Zank, 2013.
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**Chance Theory: A Separation of Riskless and Risky Utility**," Economics Discussion Paper Series 1324, Economics, The University of Manchester.- Schmidt, Ulrich & Zank, Horst, 2013.
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**Chance theory: A separation of riskless and risky utility**," Kiel Working Papers 1874, Kiel Institute for the World Economy (IfW Kiel).

- Schmidt, Ulrich & Zank, Horst, 2013.
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- Horst Zank, 2010.
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**Consistent probability attitudes**," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 167-185, August. - Szwagrzak, Karol, 2021.
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**Weighing Sample Evidence**," Working Papers 3-2021, Copenhagen Business School, Department of Economics. - Han Bleichrodt & John Miyamoto, 2003.
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**A Characterization of Quality-Adjusted Life-Years Under Cumulative Prospect Theory**," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 181-193, February.