Abstract
In reality, the dependency relationship among individuals is heterogeneous and time-varying. Based on this fact, we present a new mechanism of coevolution of game strategy and link weight when analyzing the evolution of cooperation. In detail, we model the population on a regular network, on which the relationship between players is depicted by a weighted link, and prisoner’s dilemma has been applied to describe the interaction of players. Further, the impact of this mechanism on the cooperative behavior has been outlined. By conducting large-scale Monte Carlo simulations, we can easily draw a conclusion that this mechanism can promote cooperation efficiently. Compared with the traditional case, when the temptation of defection b is large, the fraction of cooperation is still able to keep in a high level. With a comprehensive examination of the distribution of stable link weight, it is evident that the coevolution mechanism would deviate the initial distribution. This mechanism induces the heterogeneity of players, which enhances the fraction of cooperation. Numerical simulations also indicate that an intermediate value of Δ/δ warrants an optimal resolution of prisoner’s dilemma. The mechanism of coevolution of game strategy and link weight has a practical significance and will provide new insight for the further research.
Highlights
It’s generally acknowledged that networks are helpful in describing complex systems
We study the emergence of cooperative behavior in weighted, regular networks due to the coevolution of game strategy and link weight
If we take the coevolution of game strategy and link weight into account, this mechanism comes back, even changes, and the fraction of cooperation is enhanced efficiently
Summary
It’s generally acknowledged that networks are helpful in describing complex systems. Likewise, the interactions among people are often modeled within the network theoretical framework. We examine the emergence of cooperative behavior as a result of the coevolution of game strategy and link weight. How cooperative behavior evolved is still an open scientific question, generating humongous interest among scholars from multiple disciplines[1,2,3,4,5] To address such an overarching question, the pioneering works in the field resorted to the framework of evolutionary game theory[6,7,8]. Other properties, such as updating rules or the topology of interactions, simultaneously evolve Such setups affected the final network[37], the fitness of players[38,39], mobility[40], or reputation[39]. We study the emergence of cooperative behavior in weighted, regular networks (i.e. lattices) due to the coevolution of game strategy and link weight. Using large scale Monte Carlo simulations, we study how the briefly described coevolutionary mechanism of strategies and link weights affects the level of cooperation
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