Self-Similarity in Game-Locked Aggregation

doi:10.1088/0256-307X/29/12/128903

Chin. Phys. Lett.

2012, Vol. 29

Issue (12): 128903 DOI: 10.1088/0256-307X/29/12/128903

CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY

Self-Similarity in Game-Locked Aggregation

WANG Chao, XIONG Wan-Ting, WANG You-Gui

Department of Systems Science, School of Management, Beijing Normal University, Beijing 100875

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WANG Chao, XIONG Wan-Ting, WANG You-Gui 2012 Chin. Phys. Lett. 29 128903

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Abstract A collective game is studied via agent-based modeling approach, where a group of adaptive learning players seek for their best positions on a vertical line. The movements of players are driven by benefits obtained from interactions. The game falls into an evolutionary stable state, at which aggregations of players on the line emerge. The pattern of these aggregates exhibits self-similarity at different scales with a fractal dimension of 0.58. The underlying mechanism of this aggregation is unique in that aggregates are resulted from mutual lock-in of players. This game-locked aggregation, in contrast with the diffusion limited aggregation, is applicable to a broader scope of aggregation processes.

Received: 15 November 2012 Published: 04 March 2013

PACS:	89.65.Gh	(Economics; econophysics, financial markets, business and management)
	89.75.Kd	(Patterns)
	05.45.Df	(Fractals)
	05.65.+b	(Self-organized systems)

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[1] Peitgen H, Jürgens H and Dietmar Saupe 2004 Chaos and Fractals (New York: Springer-Verlag)
[2] Mandelbrot B 1967 Science 156 636
[3] Schroeder M 1991 Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise (New York: W.H.Freeman)
[4] Mandelbrot B 1980 Ann. New York Acad. Sci. 357 249
[5] Witten T A Jr. and Sander L M 1981 Phys. Rev. Lett. 47 1400
[6] Brady R M and Ball R C 1984 Nature 309 225
[7] Garcia-Ruiz J M, Louis E Meakin P 1993 Growth Patterns in Physical Sciences and Biology (New York: Plenum)
[8] Nittmann J, Daccord G and Stanley H E 1985 Nature 314 141
[9] Halsey T C and Leibig M 1992 Phys. Rev. A 46 7793
[10] Hastings M B and Levitov L S 1998 Physica D 116 244
[11] Sander L M 1986 Nature 322 789
[12] Gabaix X 1999 Q. J. Econom. 114 739
[13] Young H P 1998 Individual Strategy and Social Structure (New Jersey: Princeton University Press)

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