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M.P. acknowledges support from the project H2020 FET OPEN RIA IBSEN/662725 and the Institute of Physics of Cantabria (IFCA-CSIS) for providing access to the Altamira supercomputer. D.V. acknowledges support from H2020 FETPROACT-GSS CIMPLEX Grant No. 641191, which funded the publication of this article and the CNR (Consiglio Nazionale delle Ricerche) for the Short Term Mobility Program 2016, which funded his stay at the Universidad Carlos III de Madrid where this work was accomplished.
In this paper, we study how the pro-social impact due to the vigilance by other individuals is conditioned by both environmental and evolutionary effects. To this aim, we consider a known model where agents play a Prisoner's Dilemma Game (PDG) among themselvesIn this paper, we study how the pro-social impact due to the vigilance by other individuals is conditioned by both environmental and evolutionary effects. To this aim, we consider a known model where agents play a Prisoner's Dilemma Game (PDG) among themselves and the pay-off matrix of an individual changes according to the number of neighbors that are "vigilant", i.e., how many neighbors watch out for her behavior. In particular, the temptation to defect decreases linearly with the number of vigilant neighbors. This model proved to support cooperation in specific conditions, and here we check its robustness with different topologies, microscopical update rules and initial conditions. By means of many numerical simulations and few theoretical considerations, we find in which situations the vigilance by the others is more effective in favoring cooperative behaviors and when its influence is weaker.[+][-]