Cooperation research on zero-sum game
The current studies have shown the necessary condition for cooperation is that cost must be less than benefit and there is no cooperation for zero-sum game in which cost is equal to benefit.Here we design a game model of Parrondos Paradox in a biological group,which embodies two kinds of game relationships between individual survival and evolution process:1) the zero-sum game between individuals is called game A.Game A reflects the competition-cooperation relationship between individuals and we set up six kinds of behaviors,such as cooperation,competition,inaction,harmony,matthew and poor-competition-rich-cooperation; 2)the negative-sum game between individuals and environments is called game B.Game B is divided into two branches with different winning probability according to divisibility relations between the total capital and modulus called M.The results of computer simulation and analysis to game A and game B show that:1) All manner of cooperation and competition behaviors are the adaptive behaviors.2) Harmony behavior has a low social efficiency and lower average fitness of the population,but it is fair and has a high proportion of population viability,equitable distribution of individual fitness.3) Matthew behavior will lead to individual fitness distribution of the population to a extreme imbalance and bring about a Matthew effect which means Strong individual has always been strong and the weak individual has always been weak.Matthew approach has a lower proportion of the population living.4) poor-competition-rich-cooperation behavior has the best adaptability,so cooperation of zero-sum game may be carried out by poor-competition-rich-cooperation behavior.
cooperation zero-sum game Parrondos Paradox poor-competition-rich-cooperation
Li Rui Xie Nenggang Meng Rui Xu Gang
School of Mechanical Engineering, Anhui University of Technology Maanshan, Anhui Province ,243002,China
国际会议
重庆
英文
3338-3344
2010-12-11（万方平台首次上网日期，不代表论文的发表时间）