Cooperative Enhancement of Cost Threshold in the Spatial N-Person Snowdrift Game  

作　　者：LU Dong-Liang ZHANG Hong-Bin GE Juan XU Chen 陆栋梁;张宏斌;葛娟;许晨(School of Computer Science and Technology,Soochow University,Suzhou 215006;School of Physical Science and Technology,Soochow University,Suzhou 215006)

机构地区：[1]School of Computer Science and Technology,Soochow University,Suzhou 215006 [2]School of Physical Science and Technology,Soochow University,Suzhou 215006

出　　处：《Chinese Physics Letters》2012年第8期301-304,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 61070169.

摘　　要：We study the cooperative behaviour of the N-person snowdrift game on a square lattice with different neighbourhoods and the cost threshold M for the cooperators.We apply the imitation mechanism for the players and find that there is an optimal frequency of cooperation fC as M varies in the game and the peak of fC shifts to higher M when more neighbours on the lattice are involved in the game.For a given cost-to-benefit ratio r,the system shows discontinuous phase transitions and the behaviour of fC vs M shows step-like structures.We construct payoff level structures and find that the above features can be understood by analyzing the transition behaviour between the payoff levels.The variations of r and M are equivalent to tune the payoff level structures.The plateaus in the step-like structure have similar payoff level structures and the discontinuous jumps correspond to different payoff level structures.

关 键 词：BEHAVIOUR DISCONTINUOUS apply 

分 类 号：O22[理学—运筹学与控制论]