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Understanding Cooperative Behavior Based on the Coevolution of Game Strategy and Link Weight.

Huang K, Zheng X, Li Z, Yang Y - Sci Rep (2015)

Bottom Line: By conducting large-scale Monte Carlo simulations, we can easily draw a conclusion that this mechanism can promote cooperation efficiently.This mechanism induces the heterogeneity of players, which enhances the fraction of cooperation.The mechanism of coevolution of game strategy and link weight has a practical significance and will provide new insight for the further research.

View Article: PubMed Central - PubMed

Affiliation: Department of Automation, Tsinghua University, Beijing 100084, China.

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.

No MeSH data available.


Related in: MedlinePlus

Stable distribution of link weight when b = 1.34, δ = 0.4. The size of the regular network is equal to 100 × 100.
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f4: Stable distribution of link weight when b = 1.34, δ = 0.4. The size of the regular network is equal to 100 × 100.

Mentions: Combining with the observations of Figs 2 and 3, it seems evident that the optimal promotion of cooperation is related with the changes of negative feedback mechanism in this coevolution scenario. For the sake of exploring the potential reason of these changes, Fig. 4 features the distribution of link weight for b = 1.34 and δ = 0.4 in stable state. It is clear that the link weight is not a single value no matter what value Δ is, namely, the coevolution of game strategy and link weight has introduced heterogeneous distributions of weight, which is usually a direct reason for the enhancement of cooperation. In particular, the variances of link weight of different Δ are equal to 0.7922, 1.3979 and 1.1496. Namely, when Δ = 0.2, the variance of the link weight distribution is the largest, which means the heterogeneity is the strongest in this case. The heterogeneity will, more or less, change the so called negative feedback mechanism and final cooperation level. Therefore, the coevolution of game strategy and link weight has great influence on the enhancement of cooperation and more heterogeneous weight distribution is more profitable for the evolution of cooperation. Here, it is worth mentioning that even if the initial distribution of link weight is heterogeneous, it does not influence the final equilibrium results and weight distribution after sufficient evolution time.


Understanding Cooperative Behavior Based on the Coevolution of Game Strategy and Link Weight.

Huang K, Zheng X, Li Z, Yang Y - Sci Rep (2015)

Stable distribution of link weight when b = 1.34, δ = 0.4. The size of the regular network is equal to 100 × 100.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4593172&req=5

f4: Stable distribution of link weight when b = 1.34, δ = 0.4. The size of the regular network is equal to 100 × 100.
Mentions: Combining with the observations of Figs 2 and 3, it seems evident that the optimal promotion of cooperation is related with the changes of negative feedback mechanism in this coevolution scenario. For the sake of exploring the potential reason of these changes, Fig. 4 features the distribution of link weight for b = 1.34 and δ = 0.4 in stable state. It is clear that the link weight is not a single value no matter what value Δ is, namely, the coevolution of game strategy and link weight has introduced heterogeneous distributions of weight, which is usually a direct reason for the enhancement of cooperation. In particular, the variances of link weight of different Δ are equal to 0.7922, 1.3979 and 1.1496. Namely, when Δ = 0.2, the variance of the link weight distribution is the largest, which means the heterogeneity is the strongest in this case. The heterogeneity will, more or less, change the so called negative feedback mechanism and final cooperation level. Therefore, the coevolution of game strategy and link weight has great influence on the enhancement of cooperation and more heterogeneous weight distribution is more profitable for the evolution of cooperation. Here, it is worth mentioning that even if the initial distribution of link weight is heterogeneous, it does not influence the final equilibrium results and weight distribution after sufficient evolution time.

Bottom Line: By conducting large-scale Monte Carlo simulations, we can easily draw a conclusion that this mechanism can promote cooperation efficiently.This mechanism induces the heterogeneity of players, which enhances the fraction of cooperation.The mechanism of coevolution of game strategy and link weight has a practical significance and will provide new insight for the further research.

View Article: PubMed Central - PubMed

Affiliation: Department of Automation, Tsinghua University, Beijing 100084, China.

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.

No MeSH data available.


Related in: MedlinePlus