*** DATASET DESCRIPTION *** * TITLE Stable leaders pave the way for cooperation under time-dependent exploration rates * AUTHORS - Flávio L. Pinheiro Institution: $NOVA Information Management School (NOVA IMS), Universidade Nova de Lisboa Address: Campus de Campolide, 1070-312 Lisboa, Portugal Email: fpinheiro@novaims.unl.pt - Jorge M. Pacheco Institution: $Centro de Biologia Molecular e Ambiental, Universidade do Minho Address: Universidade do Minho, 4710-057 Braga, Portugal Email: fpinheiro@novaims.unl.pt - Francisco C. Santos Institution: INESC-ID Instituto Superior Técnico, Universidade de Lisboa, Address: IST, Taguspark, 2744-016 Porto Salvo, Portugal Email: fpinheiro@novaims.unl.pt - This research was supported by: Fundação para a Ciência e Tecnologia (FCT) through grants (grants PTDC/MAT/STA/3358/2014, PTDC/MAT-APL/6804/2020, UIDB/04050/2020, UIDB/04152/2020, UIDB/50021/2020 and PTDC/CCI-INF/7366/2020). - Notes This dataset summarizes the results of computer simulations conducted to explore the interplay between exploration dyanmics and population structure in a population of rationally bounded individuals engaging in the Prisoner's Dilemma. A link to the original manuscript and academic reference can be found in the Dryad repository. * DATA & FILE OVERVIEW - File List: a) Figure1.zip b) Figure2.zip c) Figure3.zip d) Supporting Material.pdf - Notes Each .zip archive contains all the data necessary to reproduce the three figures and its panels in the manuscript. The supporting Material contains information about the algorithms used to run the simulations that produced the data. * DATA-SPECIFIC INFORMATION FOR: Figure1.zip - Included Files: . Fig1_PanelA_Beta0001.csv . Fig1_PanelB_Beta0010.csv . Fig1_PanelC_Beta1000.csv - Notes All files have the same schema, each file reports results for a different value of the Intensity of Selection (Beta). Namely, beta = 0.01, 0.1, and 10.0. In each file, observations are organized in pairs of XL and XR. These report the location of the internal roots of the Average Gradient of Selection. Rows with missing value in a column imply that there is an odd number of points are associated with that specific Exploration rate. Results correspond to the estimated location of the Coordination or Co-Existence point from a large batch of computer simulations (see manuscript for details). - Variable List (for all files): . Exploration - exploration rate in Logartihm base 10; . XL - indicates the position in number of cooperators, of the Coordination point; . XR - indicates the position in number of cooperators, of the Co-existence point; * DATA-SPECIFIC INFORMATION FOR: Figure2.zip - Included Files: . Fig2_PanelA_Baseline.csv . Fig2_PanelA_DecayingExploration.csv . Fig2_Panelb_Beta0001.csv . Fig2_Panelb_Beta0010.csv . Fig2_Panelb_Beta0100.csv . Fig2_Panelb_Beta1000.csv - Notes Files are organized in two groups: PanelA and Panelb. Each group contains all the data necessary to reproduce the two panels in Figure 2 of the manuscript. Panel A shows the level of cooperation as a function of the intensity of selection (Beta). Panel B shows the sensitivity of the level of cooperation under different decaying time-scale of the exploration dynamics, each file contains the results for a different intensity of selection (beta). Namely, beta = 0.01, 0.1, 1.0, and 10.0. - Variable List (Fig2_PanelA_Baseline.csv and Fig2_PanelA_DecayingExploration.csv): . IntensityOfSelection - the intensity of selection (beta) in Logartihm base 10 . LevelOfCooperation - the average final fraction of cooperators at the end of the evolution - Variable List (Fig2_Panelb_Beta0001.csv, Fig2_Panelb_Beta0010.csv, Fig2_Panelb_Beta0100.csv, Fig2_Panelb_Beta1000.csv): . TimeScale - time interval between two decaying events of the exploration rate. . LevelOfCooperation - the average final fraction of cooperators at the end of the evolution * DATA-SPECIFIC INFORMATION FOR: Figure3.zip - Included Files: . Fig3_PanelA.csv . Fig3_PanelB_Beta0001.csv . Fig3_PanelB_Beta0010.csv . Fig3_PanelB_Beta0100.csv . Fig3_PanelB_Beta1000.csv . Fig3_PanelC__ELL050.csv . Fig3_PanelC__ELL075.csv . Fig3_PanelC_Baseline.csv . Fig3_PanelC_ELL095.csv - Notes Files are organized in three groups: PanelA, PanelB, and PanelC. Each group contains all the data necessary to reproduce the two panels in Figure 3 of the manuscript. Panel A shows the level of cooperation as a function of the exploration rates of two groups of individuals in the population (Leaders and Followers). Panel B shows the level of cooperation under different intensities of selection (beta = 0.01, 0.1, 1.0, and 10.0) as a function of the exploration decay rate of leaders. Panel C shows the level of cooperation as a function of intensity of selection for different balances between the exploration rates of Leaders and Followers, in contrast with a baseline scenario (no exploration). - Variable List (Fig3_PanelA.csv): . FollowersExploration, exploration rate of the followers in Logartihm base 10 . LeadersExploration, exploration rate of the leaders in Logartihm base 10 . LOCDeviation, deviation in the observed level of cooperation (loc) in relation to the baseline scenario without exploration dynamics; - Variable List (Fig3_PanelB_Beta0001.csv, Fig3_PanelB_Beta0010.csv, Fig3_PanelB_Beta0100.csv, Fig3_PanelB_Beta1000.csv): . IntensityOfSelection - exploration rate of the leaders in Logartihm base 10 . LevelOfCooperation - the average final fraction of cooperators at the end of the evolution - Variable List (Fig3_PanelC__ELL050.csv, Fig3_PanelC__ELL075.csv, Fig3_PanelC_Baseline.csv, Fig3_PanelC_ELL095.csv): . IntensityOfSelection - the intensity of selection (beta) in Logartihm base 10 . LevelOfCooperation - the average final fraction of cooperators at the end of the evolution