Olaf Stenull and Heinz G Schuster 1998 J. Phys. A: Math. Gen. 31 L301 doi:10.1088/0305-4470/31/15/003
Olaf Stenull and Heinz G Schuster
Show affiliationsWe present a soluble variant of the replicator model well established in theoretical biology and game theory. By using methods of statistical physics we derive an analytical solution to our model which becomes exact in the long time limit. We apply our model to the iterated prisoner's dilemma game and compare our results to numerical simulations.
02.50.Le Decision theory and game theory
02.60.-x Numerical approximation and analysis
05.10.-a Computational methods in statistical physics and nonlinear dynamics
91A80 Applications of game theory
Issue 15 (17 April 1998)
Received 22 December 1997
Olaf Stenull and Heinz G Schuster 1998 J. Phys. A: Math. Gen. 31 L301
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J M Gandhi and S C Saxena 1966 Proc. Phys. Soc. 87 273
Vladimir V Kisil 2004 J. Phys. A: Math. Gen. 37 183
M M Brady 1967 J. Sci. Instrum. 44 71
C J Harland et al 2003 Meas. Sci. Technol. 14 923
F D S Butement 1950 Proc. Phys. Soc. A 63 532
Tao Li et al 2005 Nanotechnology 16 365
Benoît Leboulanger et al 2004 Physiol. Meas. 25 R35