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Endogenous versus Exogenous Origins of Crises

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Extreme Events in Nature and Society

Part of the book series: The Frontiers Collection ((FRONTCOLL))

Summary

Are large biological extinctions such as the Cretaceous/Tertiary KT boundary due to a meteorite, extreme volcanic activity or self-organized critical extinction cascades? Are commercial successes due to a progressive reputation cascade or the result of a well orchestrated advertisement? Determining the chain of causality for Xevents in complex systems requires disentangling interwoven exogenous and endogenous contributions with either no clear signature or too many signatures. Here, I review several efforts carried out with collaborators which suggest a general strategy for understanding the organizations of several complex systems under the dual effect of endogenous and exogenous fluctuations. The studied examples are: internet download shocks, book sale shocks, social shocks, financial volatility shocks, and financial crashes. Simple models are offered to quantitatively relate the endogenous organization to the exogenous response of the system. Suggestions for applications of these ideas to many other systems are offered.

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References

  1. Bak, P., How Nature Works: the Science of Self-organized Criticality (Copernicus, New York, 1996)

    MATH  Google Scholar 

  2. Bak, P. and M. Paczuski, Complexity, contingency, and criticality, Proc. Natl. Acad. Sci. USA, 92, 6689–6696 (1995)

    Article  ADS  Google Scholar 

  3. Sornette, D., Predictability of catastrophic events: material rupture, earthquakes, turbulence, financial crashes and human birth, Proc. Natl. Acad. Sci. USA, 99S1, 2522–2529 (2002)

    Article  ADS  Google Scholar 

  4. Stratonovich, R.L., Nonlinear Nonequilibrium Thermodynamics I: Linear and Nonlinear Fluctuation-Dissipation Theorems (Springer, Berlin Heidelberg New York, 1992)

    MATH  Google Scholar 

  5. Einstein, A., Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen, Ann. Phys., 17, 549 (1905)

    Article  Google Scholar 

  6. Einstein, A., Investigations on the Theory of Brownian Movement (Dover, New York, 1956)

    MATH  Google Scholar 

  7. Ruelle, D., Conversations on nonequilibrium physics with an extraterrestrial, Physics Today, 57(5), 48–53 (2004)

    Article  ADS  Google Scholar 

  8. Schumpeter, J.A., Business Cycles: A Theoretical, Historical and Statistical Analysis of the Capitalist Process (McGraw-Hill, New York, 1939)

    Google Scholar 

  9. Romer, D., Advanced Macroeconomics (McGraw-Hill, New York, 1996)

    Google Scholar 

  10. Dunbar, R.I.M., The social brain hypothesis, Evol. Anthrop., 6, 178–190 (1998)

    Article  Google Scholar 

  11. Zhou, W.-X., D. Sornette, R.A. Hill and R.I.M. Dunbar, Discrete hierarchical organization of social group sizes, Proc. Royal Soc. London, 272, 439–444 (2005) doi:10.1098/rspb.2004.2970

    Article  Google Scholar 

  12. Helmstetter, A. and Sornette, D., Sub-critical and supercritical regimes in epidemic models of earthquake aftershocks, J. Geophys. Res., 107, B10, 2237, doi:10.1029/2001JB001580 (2002)

    Article  Google Scholar 

  13. Sornette, D. and A. Helmstetter, Endogeneous versus exogeneous shocks in systems with memory, Physica A, 318, 577 (2003)

    Article  ADS  MATH  Google Scholar 

  14. Sornette, D., F. Deschatres, T. Gilbert and Y. Ageon, Endogenous versus exogenous shocks in complex networks: an empirical test using book sale ranking, Phys. Rev. Letts., 93(22), 228701 (2004)

    Article  ADS  Google Scholar 

  15. Sornette, A. and D. Sornette, Renormalization of earthquake aftershocks, Geophys. Res. Lett., 6, N13, 1981–1984 (1999)

    Google Scholar 

  16. Helmstetter, A., D. Sornette and J.-R. Grasso, Mainshocks are aftershocks of conditional foreshocks: How do foreshock statistical properties emerge from aftershock laws, J. Geophys. Res., 108(B10), 2046, doi:10.1029/2002JB001991 (2003)

    Article  ADS  Google Scholar 

  17. Dodds, P.S. and D.J. Watts, Universal behavior in a generalized model of contagion, Phys. Rev. Lett., 92, 218701 (2004)

    Article  ADS  Google Scholar 

  18. Johansen, A. and D. Sornette, Download relaxation dynamics on the WWW following newspaper publication of URL, Physica A, 276(1–2), 338–345 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  19. Johansen A., Response time of internauts, Physica A, 296(3–4), 539–546 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  20. Eckmann, J.P., E. Moses and D. Sergi, Entropy of dialogues creates coherent structures in e-mail traffic, Proc. Nat. Acad. Sci. USA, 101(40), 14333–14337 (2004)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  21. Johansen, A., Probing human response times, Physica A, 338(1–2), 286–291 (2004)

    Article  ADS  Google Scholar 

  22. Brody, J., Push up the weights, and roll back the years, The New York Times, F 7 (June 4, 2002)

    Google Scholar 

  23. Gladwell, M., The Tipping Point: How Little Things Can Make a Big Difference (Back Bay Books, Boston, MA, 2002)

    Google Scholar 

  24. Sornette, A. Johansen and I. Dornic, Mapping self-organized criticality onto criticality, J. Phys. I France, 5, 325–335 (1995)

    Article  Google Scholar 

  25. Gil, L. and D. Sornette, Landau-Ginzburg theory of self-organized criticality, Phys. Rev. Lett., 76, 3991–3994 (1996)

    Article  ADS  Google Scholar 

  26. Roehner, B.M. and D. Sornette, “Thermometers” of speculative frenzy, Eur. Phys. J., B 16, 729–739 (2000)

    ADS  Google Scholar 

  27. Roehner, B.M., Patterns of Speculation: A Study in Observational Econophysics (Cambridge University Press, Cambridge, UK, 1st edition, 2002)

    Book  MATH  Google Scholar 

  28. The Economist, Music’s brighter future: The music industry, Business Special, The Economist, Friday 12th November (2004)

    Google Scholar 

  29. Roehner, B.M., D. Sornette and J.V. Andersen, Response functions to critical shocks in social sciences: An empirical and numerical study, Int. J. Mod. Phys., C 15(6), 809–834 (2004)

    ADS  Google Scholar 

  30. Burch, T.R., D.R. Emery and M.E. Fuerst, What can “Nine-Eleven” tell us about closed-end fund discounts and investor sentiment, Financial Review, 38(4), (2003)

    Google Scholar 

  31. Carter, D.A. and B.J. Simkins, Do Markets React Rationally? The Effect of the September 11th Tragedy on Airline Stock Returns, Working Paper (2002), see http://papers.ssrn.com/paper.taf?abstract id=306133

    Google Scholar 

  32. White E.N., Stock market crashes and speculative manias. In: Capie F.H., ed, The International Library of Macroeconomic and Financial History 13 (Edward Elgar, Brookfield, US, 1996)

    Google Scholar 

  33. Engle, R., Autoregressive conditional heteroskedasticity with estimates of the variance of United Kingdom inflation, Econometrica, 50, 987–1008 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  34. Bollerslev, T., Generalized autoregressive conditional heteroskedasticity, J Econometrics, 31, 307–327 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  35. Anderson, T., Stochastic autoregressive volatility, Mathematical Finance, 4, 75–102 (1994)

    Google Scholar 

  36. Hamilton, J., Rational-expectations econometric analysis of changes of regimes: an investigation of the term structure of interest rates, J Econometric Dynamics Control, 12, 385–423 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  37. Hamilton, J., A new approach to the economic analysis of nonstationary time series and the business cycle, Econometrica, 57, 357–384 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  38. Pagan, A. and A. Ullah, The econometric analysis of models with risk terms, J Applied Econometrics, 3, 87–105 (1988)

    Article  Google Scholar 

  39. Pagan, A. and G.W. Schwert, Alternative models for conditional stock volatility, J Econometrics, 45, 267–290 (1990)

    Article  Google Scholar 

  40. Bacry, E., J. Delour and J.-F. Muzy, Multifractal random walk, Phys. Rev. E, 64, 026103 (2001)

    Article  ADS  Google Scholar 

  41. Muzy, J.-F., J. Delour and E. Bacry, Modelling fluctuations of financial time series: from cascade process to stochastic volatility model, Eur. Phys. J. B, 17, 537–548 (2000)

    Article  ADS  Google Scholar 

  42. Sornette, D., Y. Malevergne and J.-F. Muzy, What causes crashes? Risk 16(2), 67–71 (2003)

    Google Scholar 

  43. Andersen, J.V., S. Gluzman and D. Sornette, Fundamental framework for technical analysis, Eur. Phys. J. B, 14, 579–601 (2000)

    Article  ADS  Google Scholar 

  44. McQueen, G. and K. Vorkink, Whence GARCH? A preference-based explanation for conditional volatility, Rev. Financ. Stud., 17, 915–949 (2004)

    Article  Google Scholar 

  45. Cutler, D., J. Poterba and L. Summers, What moves stock prices? J. Portfolio Manag., Spring, 4–12 (1989)

    Google Scholar 

  46. Sornette, D. and A. Johansen, Significance of log-periodic precursors to financial crashes, Quant. Finance, 1, 452–471 (2001)

    Article  Google Scholar 

  47. Johansen, A. and D. Sornette, Endogenous versus Exogenous Crashes in Financial Markets, In: Columbus F., ed, Contemporary Issues in International Finance, in press, (Nova Science, New York, 2004) (http://arXiv.org/abs/condmat/0210509)

    Google Scholar 

  48. Johansen, A. and D. Sornette, Stock market crashes are outliers, Eur. Phys. J. B 1, 141–143 (1998)

    Article  ADS  Google Scholar 

  49. Johansen, A. and D. Sornette, Large stock market price drawdowns are outliers, J. Risk, 4(2), 69–110 (2001/02)

    Google Scholar 

  50. Johansen, A., Comment on “Are financial crashes predictable?”, Eur. Phys. Lett., 60(5), 809–810 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  51. Johansen, A. and D. Sornette, Critical crashes, RISK, 12(1), 91–94 (1999)

    Google Scholar 

  52. Johansen, A., D. Sornette and O. Ledoit, Predicting financial crashes using discrete scale invariance, J. Risk, 1(4), 5–32 (1999)

    Google Scholar 

  53. Johansen, A., O. Ledoit and D. Sornette, Crashes as critical points, Int. J. Theor. Appl. Finance, 3(2), 219–255 (2000)

    Article  MATH  Google Scholar 

  54. Sornette, D., Why Stock Markets Crash (Critical Events in Complex Financial Systems) (Princeton University Press, Princeton, NJ, 2003)

    Google Scholar 

  55. Sornette, D., Critical market crashes, Phys. Rep., 378(1), 1–98 (2003)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  56. Zhou, W.-X. and D. Sornette, Non-parametric analyses of log-periodic precursors to financial crashes, Int. J. Mod. Phys. C, 14(8), 1107–1126 (2003)

    Article  ADS  MATH  Google Scholar 

  57. Sornette, D. and W.-X. Zhou, Evidence of fueling of the 2000 new economy bubble by foreign capital inflow: implications for the future of the US economy and its stock market, Physica A, 332, 412–440 (2004)

    Article  ADS  Google Scholar 

  58. Sornette, D. and W.-X. Zhou, Predictability of large future changes in complex systems, Int. J. Forecasting, in press (2004) (http://arXiv.org/abs/condmat/0304601)

    Google Scholar 

  59. Johnson, N.F., P. Jefferies and P. Ming Hui, Financial Market Complexity (Oxford Univ. Press, Oxford, UK, 2003)

    Book  Google Scholar 

  60. Andersen, J.V. and D. Sornette, A mechanism for pockets of predictability in complex adaptive systems, Europhys. Lett., 70(5), 697–703 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  61. Helmstetter and D. Sornette, Predictability in the ETAS model of interacting triggered seismicity, J. Geophys. Res., 108, 2482, 10.1029/2003JB002485 (2003)

    Article  ADS  Google Scholar 

  62. Jenkinson, T. & Ljungqvist, A., Going Public: The Theory and Evidence on How Companies Raise Equity Finance (Oxford Univ. Press, Oxford, UK, 2nd edition 2001)

    Google Scholar 

  63. De Vany, A. and Lee, C., Quality signals in information cascades and the dynamics of the distribution of motion picture box office revenues. J. Econ. Dyn. Control, 25, 593–614 (2001)

    Article  MATH  Google Scholar 

  64. Omori, F., On the aftershocks of earthquakes, J. Coll. Sci. Imp. Uni., 7, 111 (1894)

    Google Scholar 

  65. Travis, D. J., A.M. Carleton and R.G. Lauritsen, Contrails reduce daily temperature range, Nature, 418, 601 (2002)

    Article  ADS  Google Scholar 

  66. Potter, S.M., Nonlinear impulse response functions, J. Econ. Dynam. Control, 24(10), 1425–1446 (2000)

    Article  MATH  Google Scholar 

  67. Dellago, C. and S. Mukamel, Nonlinear response of classical dynamical systems to short pulses, Bull. Korean Chem. Soc., 24(8), 1107–1110 (2003)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute of Geophysics and Planetary Physics, Los Angeles, CA, 90095, USA

    Didier Sornette

  2. Department of Earth and Space Sciences, University of California, Los Angeles, CA, 90095, USA

    Didier Sornette

  3. Laboratoire de Physique de la Matière Condensée, Université de Nice — Sophia Antipolis, CNRS UMR 6622, Nice Cedex 2, France

    Didier Sornette

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  1. Didier Sornette
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Editors and Affiliations

  1. Interdisziplinäres Zentrum für Komplexe Systeme und Institut für Angewandte Mathematik, Universität Bonn, Wegelerstraße 6, 53115, Bonn, Germany

    Sergio Albeverio  & Volker Jentsch  & 

  2. Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187, Dresden, Germany

    Holger Kantz

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© 2006 Center for Frontier Sciences

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Sornette, D. (2006). Endogenous versus Exogenous Origins of Crises. In: Albeverio, S., Jentsch, V., Kantz, H. (eds) Extreme Events in Nature and Society. The Frontiers Collection. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28611-X_5

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