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Limit Laws for Non-additive Probabilities and Their Frequentist Interpretation

Citations

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Cited by:

  1. Larry G. Epstein & Hiroaki Kaido & Kyoungwon Seo, 2016. "Robust Confidence Regions for Incomplete Models," Econometrica, Econometric Society, vol. 84, pages 1799-1838, September.
  2. Sujoy Mukerji & Jean-Marc Tallon, 2001. "Ambiguity Aversion and Incompleteness of Financial Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 883-904.
  3. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
  4. Philippe, Fabrice, 2000. "Cumulative prospect theory and imprecise risk," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 237-263, November.
  5. Safra, Zvi & Segal, Uzi, 2022. "A lot of ambiguity," Journal of Economic Theory, Elsevier, vol. 200(C).
  6. Massimo Marinacci, 2002. "Learning from ambiguous urns," Statistical Papers, Springer, vol. 43(1), pages 143-151, January.
  7. Mario Ghossoub, 2015. "Equimeasurable Rearrangements with Capacities," Mathematics of Operations Research, INFORMS, vol. 40(2), pages 429-445, February.
  8. Larry G. Epstein & Martin Schneider, 2007. "Learning Under Ambiguity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1275-1303.
  9. Chen, Zengjing & Epstein, Larry G. & Zhang, Guodong, 2023. "A central limit theorem, loss aversion and multi-armed bandits," Journal of Economic Theory, Elsevier, vol. 209(C).
  10. Chareka, Patrick, 2009. "The central limit theorem for capacities," Statistics & Probability Letters, Elsevier, vol. 79(12), pages 1456-1462, June.
  11. Guo, Xiaofan & Li, Shan & Li, Xinpeng, 2023. "Notes on Peng’s independence in sublinear expectation theory," Statistics & Probability Letters, Elsevier, vol. 193(C).
  12. Wang, Tan, 2003. "Conditional preferences and updating," Journal of Economic Theory, Elsevier, vol. 108(2), pages 286-321, February.
  13. Ilut, Cosmin & Saijo, Hikaru, 2021. "Learning, confidence, and business cycles," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 354-376.
  14. Simone Cerreia vioglio & Fabio Maccheroni & Massimo Marinacci, 2013. "Ergodic Theorems for Lower Probabilities," Working Papers 500, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  15. Epstein, Larry G. & Schneider, Martin, 2003. "IID: independently and indistinguishably distributed," Journal of Economic Theory, Elsevier, vol. 113(1), pages 32-50, November.
  16. Feng, Chunrong & Wu, Panyu & Zhao, Huaizhong, 2020. "Ergodicity of invariant capacities," Stochastic Processes and their Applications, Elsevier, vol. 130(8), pages 5037-5059.
  17. Roxane Bricet, 2018. "The price for instrumentally valuable information," THEMA Working Papers 2018-10, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  18. Larry G. Epstein & Martin Schneider, 2008. "Ambiguity, Information Quality, and Asset Pricing," Journal of Finance, American Finance Association, vol. 63(1), pages 197-228, February.
  19. Ghossoub, Mario, 2011. "Monotone equimeasurable rearrangements with non-additive probabilities," MPRA Paper 37629, University Library of Munich, Germany, revised 23 Mar 2012.
  20. Alexander Zimper & Alexander Ludwig, 2009. "On attitude polarization under Bayesian learning with non-additive beliefs," Journal of Risk and Uncertainty, Springer, vol. 39(2), pages 181-212, October.
  21. Alexander Zimper, 2011. "Do Bayesians Learn Their Way Out of Ambiguity?," Decision Analysis, INFORMS, vol. 8(4), pages 269-285, December.
  22. Ludwig, Alexander & Zimper, Alexander, 2014. "Biased Bayesian learning with an application to the risk-free rate puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 79-97.
  23. Zvi Safra & Uzi Segal, 2018. "A Lot of Ambiguity," Boston College Working Papers in Economics 954, Boston College Department of Economics, revised 31 Mar 2020.
  24. Zimper, Alexander, 2009. "Half empty, half full and why we can agree to disagree forever," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 283-299, August.
  25. Terán, Pedro, 2015. "Counterexamples to a Central Limit Theorem and a Weak Law of Large Numbers for capacities," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 185-189.
  26. Peiyu Sun & Dehui Wang & Xili Tan, 2023. "Equivalent Conditions of Complete p-th Moment Convergence for Weighted Sum of ND Random Variables under Sublinear Expectation Space," Mathematics, MDPI, vol. 11(16), pages 1-16, August.
  27. 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.
  28. Y, Ivanenko. & B, Munier., 2012. "Price as a choice under nonstochastic randomness in finance," Working papers 381, Banque de France.
  29. Roman Kozhan, 2011. "Non-additive anonymous games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 215-230, May.
  30. Hu, Cheng, 2016. "A strong law of large numbers for sub-linear expectation under a general moment condition," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 248-258.
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