Transcendental behavior and disturbance behavior favor human development

The evolution of network cooperation has become a hot topic in recent years. When players participate in a network game, they gain payoffs by playing games with their neighbors according to their different choices. Besides the network game itself, we focus on two interesting human behaviors: transcendental behavior and disturbance behavior. The former means some players choose a different strategy if they recognize global information and not just local information, and the latter describes the benchmark effect from all populations. To explore our proposed mechanisms, we introduce new transfer rules: the amendatory Fermi rule and transcendental probability, in the framework of memory-based donor and recipient game and observe their final cooperation rates and payoff distribution. The results from human experiments and simulations show that the introduction of new mechanisms will lead higher cooperation rates, which in turn will lead to a balanced payoff distribution. Finally, we observe that a fair society dominated by cooperative behavior will undoubtedly promote the development of human society.