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Additive Representation of Non-Additive Measures and the Choquet Integral

Citations

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Cited by:

  1. Faruk Gul & Wolfgang Pesendorfer, 2008. "Measurable Ambiguity," Levine's Working Paper Archive 122247000000002185, David K. Levine.
  2. Cinfrignini, Andrea & Petturiti, Davide & Vantaggi, Barbara, 2023. "Dynamic bid–ask pricing under Dempster-Shafer uncertainty," Journal of Mathematical Economics, Elsevier, vol. 107(C).
  3. Martin Meier & Burkhard Schipper, 2014. "Bayesian games with unawareness and unawareness perfection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 219-249, June.
  4. Billot, Antoine & Vergopoulos, Vassili, 2018. "Expected utility without parsimony," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 14-21.
  5. Machina, Mark J, 2001. "Payoff Kinks in Preferences over Lotteries," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 207-260, November.
  6. Corrente, Salvatore & Greco, Salvatore & Ishizaka, Alessio, 2016. "Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression," Omega, Elsevier, vol. 61(C), pages 2-18.
  7. Tallon, Jean-Marc, 1998. "Do sunspots matter when agents are Choquet-expected-utility maximizers?," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 357-368, March.
  8. Calford, Evan, 2016. "Mixed Strategies in Games with Ambiguity Averse Agents," MPRA Paper 74909, University Library of Munich, Germany.
  9. De Waegenaere, Anja & Wakker, Peter P., 2001. "Nonmonotonic Choquet integrals," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 45-60, September.
  10. Saponara, Nick, 2022. "Revealed reasoning," Journal of Economic Theory, Elsevier, vol. 199(C).
  11. Thibault Gajdos, 2002. "Measuring Inequalities without Linearity in Envy Through Choquet Integral with Symmetric Capacities," Post-Print halshs-00085888, HAL.
  12. Scott E. Page, 2008. "Uncertainty, Difficulty, and Complexity," Journal of Theoretical Politics, , vol. 20(2), pages 115-149, April.
  13. Antoine Billot & Vassili Vergopoulos, 2014. "Dynamic Consistency and Expected Utility with State Ambiguity," PSE Working Papers halshs-01006698, HAL.
  14. Faruk Gul & Wolfgang Pesendorfer, 2018. "Evaluating Ambiguous Random Variables and Updating by Proxy," Working Papers 2018-7, Princeton University. Economics Department..
  15. Lo, Kin Chung, 2006. "Agreement and stochastic independence of belief functions," Mathematical Social Sciences, Elsevier, vol. 51(1), pages 1-22, January.
  16. Tarik Driouchi & Lenos Trigeorgis & Raymond H. Y. So, 2018. "Option implied ambiguity and its information content: Evidence from the subprime crisis," Annals of Operations Research, Springer, vol. 262(2), pages 463-491, March.
  17. Massimo Marinacci, 1995. "Decomposition and Representation of Coalitional Games," Discussion Papers 1152, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  18. Pivato, Marcus & Vergopoulos, Vassili, 2018. "Subjective expected utility with topological constraints," MPRA Paper 85749, University Library of Munich, Germany.
  19. Basieva, Irina & Khrennikova, Polina & Pothos, Emmanuel M. & Asano, Masanari & Khrennikov, Andrei, 2018. "Quantum-like model of subjective expected utility," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 150-162.
  20. Marcello Basili & Carlo Zappia, 2007. "The weight of argument and non-additive measures: a note," Department of Economic Policy, Finance and Development (DEPFID) University of Siena 003, Department of Economic Policy, Finance and Development (DEPFID), University of Siena.
  21. Mingli Zheng & Sajid Anwar, 2005. "Rational Legal Decision-Making, Value Judgment, and Efficient Precaution in Tort Law," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 161(3), pages 411-427, September.
  22. Lo, Kin Chung, 2002. "Correlated equilibrium under uncertainty," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 183-209, November.
  23. Carlo Zappia, 2008. "Non-Bayesian decision theory ante-litteram: the case of G. L. S. Shackle," Department of Economic Policy, Finance and Development (DEPFID) University of Siena 0408, Department of Economic Policy, Finance and Development (DEPFID), University of Siena.
  24. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2020. "Random Evolving Lotteries and Intrinsic Preference for Information," Working Papers 2020-71, Princeton University. Economics Department..
  25. Silvia Angilella & Sally Giuseppe Arcidiacono & Salvatore Corrente & Salvatore Greco & Benedetto Matarazzo, 2020. "An application of the SMAA–Choquet method to evaluate the performance of sailboats in offshore regattas," Operational Research, Springer, vol. 20(2), pages 771-793, June.
  26. Alon, Shiri, 2015. "Worst-case expected utility," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 43-48.
  27. Mingli Zheng, 2014. "Lobbying for wealth redistribution by changing the social planner’s preferences," Journal of Theoretical Politics, , vol. 26(1), pages 79-92, January.
  28. Lo, Kin Chung, 2011. "Possibility and permissibility," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 109-113, September.
  29. Luiz Gomes & Maria Machado & Luis Rangel, 2013. "Behavioral multi-criteria decision analysis: the TODIM method with criteria interactions," Annals of Operations Research, Springer, vol. 211(1), pages 531-548, December.
  30. Vassili Vergopoulos, 2011. "Dynamic consistency for non-expected utility preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 493-518, October.
  31. Basili, Marcello & Zappia, Carlo, 2009. "Keynes's "non-numerical" probabilities and non-additive measures," Journal of Economic Psychology, Elsevier, vol. 30(3), pages 419-430, June.
  32. Satoshi Masuya & Masahiro Inuiguchi, 2016. "A fundamental study for partially defined cooperative games," Fuzzy Optimization and Decision Making, Springer, vol. 15(3), pages 281-306, September.
  33. Haven, Emmanuel & Sozzo, Sandro, 2016. "A generalized probability framework to model economic agents' decisions under uncertainty," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 297-303.
  34. Eichberger, Jürgen & Pasichnichenko, Illia, 2021. "Decision-making with partial information," Journal of Economic Theory, Elsevier, vol. 198(C).
  35. Andrea Cinfrignini & Davide Petturiti & Barbara Vantaggi, 2023. "Envelopes of equivalent martingale measures and a generalized no-arbitrage principle in a finite setting," Annals of Operations Research, Springer, vol. 321(1), pages 103-137, February.
  36. Stefano Ficco & Vladimir A. Karamychev, 2004. "Information Overload in Multi-Stage Selection Procedures," Tinbergen Institute Discussion Papers 04-077/1, Tinbergen Institute.
  37. Mingli Zheng & Chong Wang & Chaozheng Li, 2016. "Insurance Contracts with Adverse Selection When the Insurer Has Ambiguity about the Composition of the Consumers," Annals of Economics and Finance, Society for AEF, vol. 17(1), pages 179-206, May.
  38. Angilella, Silvia & Greco, Salvatore & Matarazzo, Benedetto, 2010. "Non-additive robust ordinal regression: A multiple criteria decision model based on the Choquet integral," European Journal of Operational Research, Elsevier, vol. 201(1), pages 277-288, February.
  39. Jürgen Eichberger & David Kelsey, 1999. "E-Capacities and the Ellsberg Paradox," Theory and Decision, Springer, vol. 46(2), pages 107-138, April.
  40. Mingli Zheng, 2018. "Subjective value judgments of distributive justice and legal decision-making," Asia-Pacific Journal of Regional Science, Springer, vol. 2(1), pages 177-194, April.
  41. Marcello Basili & Carlo Zappia, 2010. "Ambiguity and uncertainty in Ellsberg and Shackle," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 34(3), pages 449-474.
  42. Thibault Gajdos, 2002. "Measuring Inequalities without Linearity in Envy Through Choquet Integral with Symmetric Capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00085888, HAL.
  43. Itzhak Gilboa & David Schmeidler, 1992. "Canonical Representation of Set Functions," Discussion Papers 986, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  44. Giulianella Coletti & Davide Petturiti & Barbara Vantaggi, 2019. "Dutch book rationality conditions for conditional preferences under ambiguity," Annals of Operations Research, Springer, vol. 279(1), pages 115-150, August.
  45. Ghirardato, Paolo, 1997. "On Independence for Non-Additive Measures, with a Fubini Theorem," Journal of Economic Theory, Elsevier, vol. 73(2), pages 261-291, April.
  46. Beissner, Patrick & Werner, Jan, 2023. "Optimal allocations with α-MaxMin utilities, Choquet expected utilities, and Prospect Theory," Theoretical Economics, Econometric Society, vol. 18(3), July.
  47. Stauber, Ronald, 2019. "A strategic product for belief functions," Games and Economic Behavior, Elsevier, vol. 116(C), pages 38-64.
  48. Angilella, Silvia & Greco, Salvatore & Lamantia, Fabio & Matarazzo, Benedetto, 2004. "Assessing non-additive utility for multicriteria decision aid," European Journal of Operational Research, Elsevier, vol. 158(3), pages 734-744, November.
  49. Duffy, John & Ralston, Jason, 2020. "Innovate versus imitate: Theory and experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 177(C), pages 727-751.
  50. Pivato, Marcus & Vergopoulos, Vassili, 2017. "Subjective expected utility representations for Savage preferences on topological spaces," MPRA Paper 77359, University Library of Munich, Germany.
  51. Ronald Stauber, 2019. "A strategic product for belief functions," ANU Working Papers in Economics and Econometrics 2019-668, Australian National University, College of Business and Economics, School of Economics.
  52. Scott E. Page, 1998. "Uncertainty, Difficulty, and Complexity," Research in Economics 98-08-076e, Santa Fe Institute.
  53. Dekel, Eddie & Lipman, Barton L. & Rustichini, Aldo, 1998. "Recent developments in modeling unforeseen contingencies," European Economic Review, Elsevier, vol. 42(3-5), pages 523-542, May.
  54. Dominiak, Adam & Eichberger, Jürgen, 2016. "Support notions for belief functions," Economics Letters, Elsevier, vol. 146(C), pages 28-32.
  55. Borglin, Anders & Flåm, Sjur, 2007. "Rationalizing Constrained Contingent Claims," Working Papers 2007:12, Lund University, Department of Economics.
  56. Dominiak, Adam & Eichberger, Jürgen, 2021. "Games in context: Equilibrium under ambiguity for belief functions," Games and Economic Behavior, Elsevier, vol. 128(C), pages 125-159.
  57. Mikhail Timonin, 2016. "Choquet integral in decision analysis - lessons from the axiomatization," Papers 1611.09926, arXiv.org.
  58. Nicholas J. J. Smith, 2023. "Acting on belief functions," Theory and Decision, Springer, vol. 95(4), pages 575-621, November.
  59. Tallon, Jean-Marc, 1998. "Do sunspots matter when agents are Choquet-expected-utility maximizers?," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 357-368, March.
  60. Yasuo Narukawa & Vicenç Torra & Michio Sugeno, 2016. "Choquet integral with respect to a symmetric fuzzy measure of a function on the real line," Annals of Operations Research, Springer, vol. 244(2), pages 571-581, September.
  61. Gajdos, Thibault, 2002. "Measuring Inequalities without Linearity in Envy: Choquet Integrals for Symmetric Capacities," Journal of Economic Theory, Elsevier, vol. 106(1), pages 190-200, September.
  62. Basu, Pathikrit & Echenique, Federico, 2020. "On the falsifiability and learnability of decision theories," Theoretical Economics, Econometric Society, vol. 15(4), November.
  63. Sainan Zhang & Huifu Xu, 2022. "Insurance premium-based shortfall risk measure induced by cumulative prospect theory," Computational Management Science, Springer, vol. 19(4), pages 703-738, October.
  64. Takao Asano & Yusuke Osaki, 2020. "Portfolio allocation problems between risky and ambiguous assets," Annals of Operations Research, Springer, vol. 284(1), pages 63-79, January.
  65. Eichberger, Jurgen & Kelsey, David, 2000. "Non-Additive Beliefs and Strategic Equilibria," Games and Economic Behavior, Elsevier, vol. 30(2), pages 183-215, February.
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