Power laws in economics and finance: Some ideas from physics

Quantitative Finance

Volumn 1, Issue 1, 2001, Pages 105-112

  Bouchaud, J P ^a,b  

^a Science and Finance   (France)

^b SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001474588     PISSN: 14697688     EISSN: 14697696     Source Type: Journal    
DOI: 10.1080/713665538     Document Type: Article

References (62)

1. Goldenfeld N 1992 Lectures on phase transitions and critical phenomena Frontiers in Physics for an excellent introduction.
2. Frisch U 1997 Turbulence: The Legacy of A Kolmogorov(Cambridge: Cambridge University Press)
3. Pareto V 1965 Cours d’économie politique reprinted as a volume of Oeuvres Completes (Geneva: Droz)
4. Mandelbrot B B 1960 Int. Eco. Rev. 1 79
5. Mandelbrot B B 1963 J. Business 36 394
6. Mandelbrot B B 1967 J. Business 40 394
7. Mandelbrot B B 1997 Fractals and Scaling in Finance (Berlin: Springer)
8. Mantegna R and Stanley H E 1999 An Introduction to Econophysics (Cambridge: Cambridge University Press)
9. Farmer J D 1999 Physicists attempt to scale the ivory towers of finance Comput. Sci. Engng November
10. Atkinson A B and Harrison A J 1978 Distribution of Total Wealth in Britain (Cambridge: Cambridge University Press) Ijri Y and Simon H A Skew Distribution of Sizes of Business Firms (Amsterdam: North-Holland)
11. Stanley M H R, Buldyrev S, Havlin S, Mantegna R, Salinger M and Stanley H E 1995 Eco. Lett. 49 453
12. Aoyama H, Nagahara Y, Okasaki M, Souma W, Takayasu H and Takayasu M 2000 Pareto’s law for income of individuals and debt of bankrupt companies Preprint cond-mat/0006038
13. Bouchaud J-P and Potters M 1997 Theorie des Risques Financiers (Saclay: Alea) (Engl. transl. 2000 Theory of Financial Risks (Cambridge: Cambridge University Press))
14. Plerou V, Gopikrishnan P, Amaral L A, Meyer M and Stanley H E 1999 Phys. Rev. E60 6519
15. Lux T 1996 Appl. Financial Econ. 6 463
16. Dacorogna M M, Müller U A, Nagler R J, Olsen R B and Pictet O V 1993 J. Int. Money Finance 12 413
17. Guillaume D M, Dacorogna M M, Davé R D, Müller U A, Olsen R B and Pictet O V 1997 Finance Stochastics 1 95
18. Longin F 1996 J. Business 69 383
19. Nuyts J and Platten I 1999 Phenomenology of the term structure of interest rates with Pade approximants Preprint cond-mat/9901096
20. Plerou V, Gopikrishnan P, Amaral L A, Gabaix X and Stanley H E 1999 Preprint cond-mat/9912051
21. Lo A 1991 Econometrica 59 1279
22. Ding Z, Granger C W J and Engle R F 1993 J. Empirical Finance 1 83
23. Cont R, Potters M and Bouchaud J-P 1997 Scaling in stock market data: stable laws and beyond Scale Invariance and Beyond ed B Dubrulle, F Graner and D Sornette (Les Ulis: EDP Sciences)
24. Potters M, Cont R and Bouchaud J-P 1998 Europhys. Lett. 41 239
25. Liu Y, Cizeau P, Meyer M, Peng C-K, and Stanley H E 1997 Physica A 245 437
26. Cizeau P, Liu Y, Meyer M, Peng C-K and Stanley H E 1997 Physica A 245 441
27. Bonnano G, Lillo F and Mantegna R 1999 Dynamics of the number of trades in financial securities Preprint cond-mat/9912006
28. Ghashghaie S, Breymann W, Peinke J, Talkner P and Dodge Y 1996 Nature 381 767.
29. Arneodo A, Bouchaud J-P, Cont R, Muzy J-F, Potters M and Sornette D 1996 Preprint cond-mat/9607120.
30. The distribution of individual S&P stock volatilities is also found to be nearly log-normal; Science & Finance 2000 unpublished report.
31. Arneodo A, Muzy, J-F, and Sornette D 1998 Eur. Phys. J. B2 277
32. Muzy J-F, Delour J, and Bacry E 2000 Preprint cond-mat/0005400.
33. Fisher A, Calvet L and Mandelbrot B B Multifractality of DEM/$ rates’ Cowles Foundation Discussion Paper 1165
34. Mandelbrot B B 1999 Sci. Am.
35. February Schmitt F, SchertzerD and Lovejoy S 1999 Appl. Stochastic Models Data Analysis 15 29
36. Brachet M-E, Taflin E and Tcheou J M 1999 Scaling transformation and probability distributions for financial time series Preprint cond-mat/9905169
37. Bouchaud J-P, Potters M and Meyer M 1999 Eur. Phys. J. B13 595
38. Bouchaud J-P, and Mezard M 2000 Physica A 282 536
39. Solomon S 1998 Computational Finance 97 ed A-P N
40. Malcai O, Biham O and Solomon S 1999 Phys. Rev. E 60 1299
41. Marsili M, Maslov S, and Zhang Y C 1998 Physica A 253 403
42. Fisher D S, Henley C and Huse D A 1985 Phys. Rev. Lett. 55 2924
43. Giardina I, Bouchaud J-P and Mezard M 2000 Population dynamics in a random environment Preprint cond-mat/0005187
44. Derrida B and Spohn H 1988 J. Stat. Phys. 51 817
45. Schiller R 2000 Irrational Exuberance (Princeton, NJ: Princeton University Press).
46. Cont R and Bouchaud J-P 2000 Macroeconomics Dynamics 4 170
47. Farmer J D 1998 Market force, ecology and evolution Preprint adap-org/9812005
48. Zhang Y C 1999 Physica A 269 30
49. Stauffer D and Aharony A 1994 Introduction to Percolation(London: Taylor & Francis)
50. Sornette D, Stauffer D and Takayasu H 1999 Market fluctuations, multiplicative and percolation models, size effects and predictions Preprint cond-mat/9909439 and references therein
51. Iori G 1999 A microsimulation of traders activity in the stock market: the role of heterogeneity, agents’ interactions and trade frictions Preprint adap-org/9905005
52. Dahmen K and Sethna J P 1996 Phys. Rev. B53 14872
53. da Silvera R and Bouchaud J-P, Galam S 1997 Physica A 238 66
54. Bouchaud J-P and Cont R 1998 Eur. J. Phys. B6 543
55. Chandraseckar S 1943 Rev. Mod. Phys. 15 1
56. Gourieroux C and Montfort A 1996 Statistics and Econometric Models (Cambridge: Cambridge University Press)
57. Graham R and Schenzle A 1982 Phys. Rev. A25 1731
58. Muller U A, Dacorogna M M, Davé R, Olsen R B and Pictet O V 1997 J. Empirical Finance 4 213
59. Lux T and Marchesi M 1999 Nature 397 498 IJTAF to appear (December 2000)
60. Bak P, Paczuski M and Shubik M 1997 Physica A 246 430
61. Challet D, Marsili M and Zhang Y C 1999 Modeling market mechanisms with minority game Preprint cond-mat/9909265 (and references therein)
62. Jefferies P, Hart M, Hui P M, Johnson N F 2000 From market games to real world markets Preprint cond-mat/0008387