Fluctuations around Nash equilibria in game theory

Physica A: Statistical Mechanics and its Applications

Volumn 245, Issue 1-2, 1997, Pages 181-188

  Marsili, Matteo ^a   Zhang, Yi Cheng ^a  

^a UNIVERSITY OF FRIBOURG   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ECONOMICS;

NASH EQUILIBRIA;

GAME THEORY;

EID: 0031247174     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(97)00289-6     Document Type: Article

References (18)

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4. B.B. Mandelbrot, J. Business 36 (1963) 394; R.N. Mantegna, H.E. Stanley, Nature 376 (1995) 46; M. Levy, H. Levy, S. Solomon, J. Physique I 5 (1995) 1087; S. Ghashghaie et al., Nature 381 (1996) 767; P. Bak, M. Paczuski, M. Shubik, Physica A (1997), in press; S. Galluccio, G. Caldarelli, M. Marsili, Y.-C. Zhang, Physica A 245 (1997), in press.
5. B.B. Mandelbrot, J. Business 36 (1963) 394; R.N. Mantegna, H.E. Stanley, Nature 376 (1995) 46; M. Levy, H. Levy, S. Solomon, J. Physique I 5 (1995) 1087; S. Ghashghaie et al., Nature 381 (1996) 767; P. Bak, M. Paczuski, M. Shubik, Physica A (1997), in press; S. Galluccio, G. Caldarelli, M. Marsili, Y.-C. Zhang, Physica A 245 (1997), in press.
6. B.B. Mandelbrot, J. Business 36 (1963) 394; R.N. Mantegna, H.E. Stanley, Nature 376 (1995) 46; M. Levy, H. Levy, S. Solomon, J. Physique I 5 (1995) 1087; S. Ghashghaie et al., Nature 381 (1996) 767; P. Bak, M. Paczuski, M. Shubik, Physica A (1997), in press; S. Galluccio, G. Caldarelli, M. Marsili, Y.-C. Zhang, Physica A 245 (1997), in press.
7. B.B. Mandelbrot, J. Business 36 (1963) 394; R.N. Mantegna, H.E. Stanley, Nature 376 (1995) 46; M. Levy, H. Levy, S. Solomon, J. Physique I 5 (1995) 1087; S. Ghashghaie et al., Nature 381 (1996) 767; P. Bak, M. Paczuski, M. Shubik, Physica A (1997), in press; S. Galluccio, G. Caldarelli, M. Marsili, Y.-C. Zhang, Physica A 245 (1997), in press.
8. B.B. Mandelbrot, J. Business 36 (1963) 394; R.N. Mantegna, H.E. Stanley, Nature 376 (1995) 46; M. Levy, H. Levy, S. Solomon, J. Physique I 5 (1995) 1087; S. Ghashghaie et al., Nature 381 (1996) 767; P. Bak, M. Paczuski, M. Shubik, Physica A (1997), in press; S. Galluccio, G. Caldarelli, M. Marsili, Y.-C. Zhang, Physica A 245 (1997), in press.
9. A. Cournot, in: N. Bacon (Ed.), Researches into the Mathematical Principles of the Theory of Wealth, Macmillan, New York, 1897.
10. J. Nash, Proc. Nat. Acad. Sci. 36 (1950) 48.
11. j to all other players' strategies.
12. G. Hardin, Science 162 (1968) 1243.
13. F. Ayres, Theory and Problems of Matrices, Shaum Publ. Co., New York, 1962.
14. C.W. Gardiner, Handbook of Stochastic Methods, 2nd ed., Springer, Berlin, 1985, p. 124.
15. k.
16. E.J. Elton, M.J. Gruber, Modern Portfolio Theory and Investment Analysis, Wiley, New York, 1987.
17. A quadratic dependence in the cost of management can also be justified on sociological grounds. See e.g. G. Toulouse, Rev. Franc. Sociol. 19 (1978) 391.
18. k is the same ∀k < n.