We show that the heterogeneity index, which was proposed by Hu and Wang [Physica A 387 (2008) 3769], can be used to describe the disparity of the cooperation sharing or competition gain distributions, which is very important for understanding the dynamics of a cooperation/competition system. An analytical relation between the distribution parameters and the heterogeneity index is derived, which is in good agreement with the empirical results. Our theoretical and empirical analyses also show that the relation between the distribution parameters can be analytically derived from the so-called Zhang-Chang model [Physica A 360 (2006) 599; 383 (2007) 687). This strongly recommends a possibility to create a general dynamic cooperation/competition model.
We show that the heterogeneity index, which was proposed by Hu and Wang [Physica A 387 (2008) 3769], can be used to describe the disparity of the cooperation sharing or competition gain distributions, which is very important for understanding the dynamics of a cooperation/competition system. An analytical relation between the distribution parameters and the heterogeneity index is derived, which is in good agreement with the empirical results. Our theoretical and empirical analyses also show that the relation between the distribution parameters can be analytically derived from the so-called Zhang-Chang model [Physica A 360 (2006) 599; 383 (2007) 687). This strongly recommends a possibility to create a general dynamic cooperation/competition model.
XU Xiu-Lian;FU Chun-Hua;LIU Ai-Fen;HE Da-Ren. Heterogeneity of Some Cooperation/Competition Properties[J]. 中国物理快报, 2010, 27(4): 48901-048901.
XU Xiu-Lian, FU Chun-Hua, LIU Ai-Fen, HE Da-Ren. Heterogeneity of Some Cooperation/Competition Properties. Chin. Phys. Lett., 2010, 27(4): 48901-048901.
[1] Bengtsson M and Kock S 2000 Industrial Marketing Management 29 411 [2] Wang Y and Wu H 2004 Physica A 339 609 [3] Law R, Marrow P and Dieckmann U 1997 Evolutionary Ecology 11 485 [4] Puurtinen M and Mappes T 2008 Proc. R. Soc. B 276 355 [5] Albornoz J M and Parravano A arXiv:0904.2741v1 [nlin.AO] 17 Apr 2009 [6] Zhang P P, Chen K, He Y et al 2006 Physica A 360 599 [7] Chang H, Su B B, Zhou Y P et al 2007 Phsica A 383 687 [8] Zhou T, Wang B-H, Jin Y D et al 2007 Int. J. Mod. Phys. C 18 297 [9] Fu C H, Zhang Z P, Chang H et al 2008 Physica A 387 1411 [10] Fu C H, Xu X L, Liu A F et al 2008 Chin. Phys. Lett . 25 4181 [11] Chen Y Z, Fu C H, Chang H et al 2008 Chin. Phys. B 17 3580 [12] Shi J J, Wang Y L, Fu C H et al 2009 Chin. Phys. Lett. 26 078902 [13] Feng A X, Xu X L and He D R 2009 Chin. Phys. Lett. 26 058901 [14] Newman M E J 2004 Phys. Rev. E 70 056131 [15] Zhou T, Ren J, Medo M et al 2007 Phys. Rev. E 76 046115 [16] Wang Y L, Zhou T, Shi J J et al 2009 Physica A 388 2949 [17] Albert R and Barabasi A L 2002 Rev. Mod. Phys. 74 47 [18] Liu Z, Lai Y C, Ye N et al 2002 Phys. Lett. A 303 337 [19] Xu X L, Fu C H et al arXiv:0910.2516v2 [physics.soc-ph] [20] Pickands J 1975 The Annals of Statistics 3 119 [21] Hosking J R M and Wallis J R 1987 Technometrics 29 339 [22] Laherrere J and Sornette D 1998 Eur. Phys. J. B 2 525 [23] Mandelbrot B 1960 Int. Econo. Rev . 1 (2) 79 [24] Hu H B and Wang X F 2008 Physica A 387 3769
2010, Vol. 27 
