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

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  • Wakker, Peter

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  • Wakker, Peter, 1993. "Additive representations on rank-ordered sets : II. The topological approach," Journal of Mathematical Economics, Elsevier, vol. 22(1), pages 1-26.
  • Handle: RePEc:eee:mateco:v:22:y:1993:i:1:p:1-26
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    Cited by:

    1. Dino Borie, 2016. "Additively Separable Preferences Without the Completeness Axiom: An Algebraic Approach," GREDEG Working Papers 2016-11, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis.
    2. Bart Capéau & Erwin Ooghe, 2004. "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.
    3. H Zank, 2004. "Deriving Rank-Dependent Expected Utility Through Probabilistic Consistency," The School of Economics Discussion Paper Series 0409, Economics, The University of Manchester.
    4. Tangian, Andranik, 2004. "A model for ordinally constructing additive objective functions," European Journal of Operational Research, Elsevier, vol. 159(2), pages 476-512, December.
    5. Wakker, Peter, 1996. "The sure-thing principle and the comonotonic sure-thing principle: An axiomatic analysis," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 213-227.
    6. Mohammed Abdellaoui & Olivier L’Haridon & Horst Zank, 2010. "Separating curvature and elevation: A parametric probability weighting function," Journal of Risk and Uncertainty, Springer, vol. 41(1), pages 39-65, August.
    7. LiCalzi, Marco, 1998. "Variations on the measure representation approach," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 255-269, April.
    8. Schmidt, Ulrich & Zank, Horst, 2009. "A simple model of cumulative prospect theory," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 308-319, March.
    9. Zuber, Stéphane & Asheim, Geir B., 2012. "Justifying social discounting: The rank-discounted utilitarian approach," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1572-1601.
    10. Birnbaum, Michael H. & Zimmermann, Jacqueline M., 1998. "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.
    11. Mongin, Philippe & Pivato, Marcus, 2015. "Ranking multidimensional alternatives and uncertain prospects," Journal of Economic Theory, Elsevier, vol. 157(C), pages 146-171.
    12. Capeau, Bart & Ooghe, Erwin, 2007. "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.
    13. Ulrich Schmidt & Horst Zank, 2013. "Chance Theory: A Separation of Riskless and Risky Utility," The School of Economics Discussion Paper Series 1324, Economics, The University of Manchester.
    14. Diecidue, Enrico & Schmidt, Ulrich & Zank, Horst, 2009. "Parametric weighting functions," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1102-1118, May.
    15. Han Bleichrodt & José-Luis Pinto-Prades, 2004. "The Validity of QALYs Under Non-Expected Utility," Working Papers 113, Barcelona Graduate School of Economics.
    16. Webb, Craig S. & Zank, Horst, 2011. "Accounting for optimism and pessimism in expected utility," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 706-717.
    17. Duncan Luce, R. & Marley, A. A. J., 2000. "Separable and additive representations of binary gambles of gains," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 277-295, November.
    18. Zhou, Lin, 1999. "Subjective probability theory with continuous acts," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 121-130, August.
    19. Blackorby, Charles & Donaldson, David & Weymark, John A., 1999. "Harsanyi's social aggregation theorem for state-contingent alternatives1," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 365-387, November.
    20. Chateauneuf, Alain, 1999. "Comonotonicity axioms and rank-dependent expected utility theory for arbitrary consequences," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 21-45, August.
    21. Mohammed Abdellaoui & Olivier l’Haridon & Horst Zank, 2009. "Separating Curvature and Elevation: A Parametric Weighting Function," The School of Economics Discussion Paper Series 0901, Economics, The University of Manchester.
    22. repec:kap:theord:v:82:y:2017:i:3:d:10.1007_s11238-016-9569-5 is not listed on IDEAS
    23. Wakker, Peter P. & Zank, Horst, 2002. "A simple preference foundation of cumulative prospect theory with power utility," European Economic Review, Elsevier, vol. 46(7), pages 1253-1271, July.
    24. Bommier, Antoine, 2017. "A dual approach to ambiguity aversion," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 104-118.
    25. Horst Zank, 2010. "Consistent probability attitudes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 167-185, August.

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