IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1803.02570.html
   My bibliography  Save this paper

An ontological investigation of unimaginable events

Author

Listed:
  • Thomas Santoli
  • Christoph Siebenbrunner

Abstract

We show that, under mild assumptions, some unimaginable events - which we refer to as Black Swan events - must necessarily occur. It follows as a corollary of our theorem that any computational model of decision-making under uncertainty is incomplete in the sense that not all events that occur can be taken into account. In the context of decision theory we argue that this constitutes a stronger sense of uncertainty than Knightian uncertainty.

Suggested Citation

  • Thomas Santoli & Christoph Siebenbrunner, 2018. "An ontological investigation of unimaginable events," Papers 1803.02570, arXiv.org, revised Jun 2018.
  • Handle: RePEc:arx:papers:1803.02570
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1803.02570
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mr. Christian Schmieder & Mr. Tidiane Kinda & Mr. Nassim N. Taleb & Ms. Elena Loukoianova & Mr. Elie Canetti, 2012. "A New Heuristic Measure of Fragility and Tail Risks: Application to Stress Testing," IMF Working Papers 2012/216, International Monetary Fund.
    2. Hilal, Sawsan & Poon, Ser-Huang & Tawn, Jonathan, 2011. "Hedging the black swan: Conditional heteroskedasticity and tail dependence in S&P500 and VIX," Journal of Banking & Finance, Elsevier, vol. 35(9), pages 2374-2387, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Li, Feng & Kang, Yanfei, 2018. "Improving forecasting performance using covariate-dependent copula models," International Journal of Forecasting, Elsevier, vol. 34(3), pages 456-476.
    2. José Afonso Faias & Juan Arismendi Zambrano, 2022. "Equity Risk Premium Predictability from Cross-Sectoral Downturns [International asset allocation with regime shifts]," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 12(3), pages 808-842.
    3. Herrera, R. & Clements, A.E., 2018. "Point process models for extreme returns: Harnessing implied volatility," Journal of Banking & Finance, Elsevier, vol. 88(C), pages 161-175.
    4. Xingzhi Yao & Marwan Izzeldin, 2018. "Forecasting using alternative measures of model‐free option‐implied volatility," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(2), pages 199-218, February.
    5. Mr. Heiko Hesse & Mr. Ferhan Salman & Mr. Christian Schmieder, 2014. "How to Capture Macro-Financial Spillover Effects in Stress Tests?," IMF Working Papers 2014/103, International Monetary Fund.
    6. N. N. Taleb & R. Douady, 2013. "Mathematical definition, mapping, and detection of (anti)fragility," Quantitative Finance, Taylor & Francis Journals, vol. 13(11), pages 1677-1689, November.
    7. Chiang, Shu Ling & Tsai, Ming Shann, 2023. "Analyses for the effects of investor sentiment on the price adjustment behaviors for stock market and REIT market," International Review of Economics & Finance, Elsevier, vol. 86(C), pages 425-439.
    8. Yarovaya, Larisa & Brzeszczyński, Janusz & Goodell, John W. & Lucey, Brian & Lau, Chi Keung Marco, 2022. "Rethinking financial contagion: Information transmission mechanism during the COVID-19 pandemic," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 79(C).
    9. Goodell, John W. & Vähämaa, Sami, 2013. "US presidential elections and implied volatility: The role of political uncertainty," Journal of Banking & Finance, Elsevier, vol. 37(3), pages 1108-1117.
    10. Cheng, Jun & Ibraimi, Meriton & Leippold, Markus & Zhang, Jin E., 2012. "A remark on Lin and Chang's paper ‘Consistent modeling of S&P 500 and VIX derivatives’," Journal of Economic Dynamics and Control, Elsevier, vol. 36(5), pages 708-715.
    11. Setene, Letlama & Jordaan, Daniel du P.S., 2021. "The trade-off between chain performance and fragility considering coordination strategies of agri-food chains: a South African egg chain's case study," International Food and Agribusiness Management Review, International Food and Agribusiness Management Association, vol. 24(3), March.
    12. Fang, Libing & Yu, Honghai & Huang, Yingbo, 2018. "The role of investor sentiment in the long-term correlation between U.S. stock and bond markets," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 127-139.
    13. Lemus, Antonio & Nuñez, Marco, 2020. "Pruebas de tensión bancaria: experiencia en los principales mercados financieros del mundo y en Chile [Bank stress tests: evidence from the main financial markets and Chile]," MPRA Paper 99097, University Library of Munich, Germany.
    14. Liu, Y. & Tawn, J.A., 2014. "Self-consistent estimation of conditional multivariate extreme value distributions," Journal of Multivariate Analysis, Elsevier, vol. 127(C), pages 19-35.
    15. Donald Lien & Keshab Shrestha & Jing Wu, 2016. "Quantile Estimation of Optimal Hedge Ratio," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 36(2), pages 194-214, February.
    16. Herrera, R. & Eichler, S., 2011. "Extreme dependence with asymmetric thresholds: Evidence for the European Monetary Union," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2916-2930, November.
    17. Stan Tendijck & Philip Jonathan & David Randell & Jonathan Tawn, 2024. "Temporal evolution of the extreme excursions of multivariate k$$ k $$th order Markov processes with application to oceanographic data," Environmetrics, John Wiley & Sons, Ltd., vol. 35(3), May.
    18. Paolo Giordani & Simon H. Kwan, 2019. "Tracking Financial Fragility," Working Paper Series 2019-6, Federal Reserve Bank of San Francisco.
    19. Andrzej Slawinski, 2015. "Shielding money creation from severe banking crises: How useful are proposals offered by the alternative reform plans?," Bank i Kredyt, Narodowy Bank Polski, vol. 46(3), pages 191-206.
    20. Keef, Caroline & Papastathopoulos, Ioannis & Tawn, Jonathan A., 2013. "Estimation of the conditional distribution of a multivariate variable given that one of its components is large: Additional constraints for the Heffernan and Tawn model," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 396-404.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1803.02570. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.