Reputation-based coevolution of link weights promotes cooperation in spatial prisoner's dilemma game

Understanding and explaining the widespread cooperative behavior in society has become one open question. Many previous studies have been investigated this issue on static and unweight network, which is inconsistent with the realistic in sometimes. Motivated by this point, we consider a new setup about reputation-based dynamical weighted network. In particular, an individual with high reputation can receive a reward and its link weight will increase, while the individual with lowest reputation will be punished. Here, we introduce a parameter δ to control the range of link weight. Through numeric simulations, we find that coevolution setup can promote the evolution of cooperation. Particular, the larger value of δ, the higher level of cooperation. For the potential reason, we find it is related to the heterogeneous distribution of link weights.