Evolution of tag-based cooperation on Erdős–Rényi random graphs

Here, we study an agent-based model of the evolution of tag-mediated cooperation on Erdős–Renyi random graphs. In our model, agents with heritable phenotypic traits play pairwise Prisoner's Dilemma-like games and follow one of the four possible strategies: Ethnocentric, altruistic, egoistic and cosmopolitan. Ethnocentric and cosmopolitan strategies are conditional, i.e. their selection depends upon the shared phenotypic similarity among interacting agents. The remaining two strategies are always unconditional, meaning that egoists always defect while altruists always cooperate. Our simulations revealed that ethnocentrism can win in both early and later evolutionary stages on directed random graphs when reproduction of artificial agents was asexual; however, under the sexual mode of reproduction on a directed random graph, we found that altruists dominate initially for a rather short period of time, whereas ethnocentrics and egoists suppress other strategists and compete for dominance in the intermediate and later evolutionary stages. Among our results, we also find surprisingly regular oscillations which are not damped in the course of time even after half a million Monte Carlo steps. Unlike most previous studies, our findings highlight conditions under which ethnocentrism is less stable or suppressed by other competing strategies.

[1]  Christian Schulze,et al.  Agent‐based Computer Simulations of Language Choice Dynamics , 2009, Annals of the New York Academy of Sciences.

[2]  Ross A. Hammond,et al.  The Evolution of Ethnocentrism , 2006 .

[3]  Dietrich Stauffer,et al.  Evolving eco-system: a network of networks , 2005 .

[4]  M. Nowak,et al.  Non-commercial Research and Educational Use including without Limitation Use in Instruction at Your Institution, Sending It to Specific Colleagues That You Know, and Providing a Copy to Your Institution's Administrator. All Other Uses, Reproduction and Distribution, including without Limitation Comm , 2022 .

[5]  James H. Fowler,et al.  Heritability of cooperative behavior in the trust game , 2008, Proceedings of the National Academy of Sciences.

[6]  Arne Traulsen,et al.  Minimal model for tag-based cooperation. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Paul J. Flory,et al.  Molecular Size Distribution in Three Dimensional Polymers. I. Gelation1 , 1941 .

[8]  E. Fehr,et al.  The Coevolution of Cultural Groups and Ingroup Favoritism , 2008, Science.

[9]  Pat Barclay,et al.  A cue of kinship promotes cooperation for the public good , 2008 .

[10]  Robert A Laird,et al.  Green-beard effect predicts the evolution of traitorousness in the two-tag Prisoner's dilemma. , 2011, Journal of theoretical biology.

[11]  Robert Kurzban,et al.  Experiments investigating cooperative types in humans: a complement to evolutionary theory and simulations. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[12]  Fredrik Jansson,et al.  Pitfalls in Spatial Modelling of Ethnocentrism: A Simulation Analysis of the Model of Hammond and Axelrod , 2013, J. Artif. Soc. Soc. Simul..

[13]  Sam Whitt,et al.  The Dictator Game, Fairness and Ethnicity in Postwar Bosnia , 2007 .

[14]  Marco Zorzi,et al.  Nested incremental modeling in the development of computational theories: the CDP+ model of reading aloud. , 2007, Psychological review.

[15]  J. Laurie Snell,et al.  Topics in Contemporary Probability and Its Applications , 1995 .

[16]  R. Riolo,et al.  Evolution of cooperation without reciprocity , 2001, Nature.

[17]  Dietrich Stauffer,et al.  Evolution of ethnocentrism on undirected and directed Barabási-Albert networks , 2009, 0905.2672.

[18]  Dirk Semmann.  Conditional cooperation can hinder network reciprocity , 2012, Proceedings of the National Academy of Sciences.

[19]  Arne Traulsen,et al.  Similarity-based cooperation and spatial segregation. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  D. Byrne.  Attitudes and Attraction , 1969 .

[21]  J. Cuesta,et al.  Heterogeneous networks do not promote cooperation when humans play a Prisoner’s Dilemma , 2012, Proceedings of the National Academy of Sciences.

[22]  Martin A. Nowak,et al.  Evolution of cooperation by phenotypic similarity , 2008, Proceedings of the National Academy of Sciences.

[23]  Shaul Shalvi,et al.  Oxytocin promotes human ethnocentrism , 2011, Proceedings of the National Academy of Sciences.

[24]  M. Nowak,et al.  Evolutionary games and spatial chaos , 1992, Nature.

[25]  Michael Doebeli,et al.  Spatial structure often inhibits the evolution of cooperation in the snowdrift game , 2004, Nature.

[26]  Ramón Alonso-Sanz,et al.  MEMORY BOOSTS COOPERATION , 2006 .

[27]  F. C. Santos,et al.  A new route to the evolution of cooperation , 2006, Journal of evolutionary biology.

[28]  R I M Dunbar,et al.  Altruism in networks: the effect of connections , 2011, Biology Letters.

[29]  F. W. S. Lima,et al.  Non-Classical Connectionist Models of Visual Object Recognition , 2012, Cognitive Computation.

[30]  Robert L. Axtell,et al.  Aligning simulation models: A case study and results , 1996, Comput. Math. Organ. Theory.

[31]  Rick Durrett,et al.  Some features of the spread of epidemics and information on a random graph , 2010, Proceedings of the National Academy of Sciences.

[32]  F. Moreira,et al.  Majority-vote model on random graphs. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Arne Traulsen,et al.  Mechanisms for similarity based cooperation , 2008 .

[34]  Svante Janson,et al.  Random graphs , 2000, Wiley-Interscience series in discrete mathematics and optimization.

[35]  Daniel Nettle,et al.  Cultural Diversity, Economic Development and Societal Instability , 2007, PloS one.

[36]  Dietrich Stauffer,et al.  A Biased Review of Sociophysics , 2012, ArXiv.

[37]  Ross A Hammond,et al.  ALTRUISM VIA KIN‐SELECTION STRATEGIES THAT RELY ON ARBITRARY TAGS WITH WHICH THEY COEVOLVE , 2004, Evolution; international journal of organic evolution.

[38]  Dietrich Stauffer,et al.  Evolution of tag-mediated altruistic behavior in one-shot encounters on large-scale complex networks , 2012, Comput. Phys. Commun..

[39]  D. Haun,et al.  The development of tag-based cooperation via a socially acquired trait , 2013 .

[40]  Tian Qiu,et al.  Cooperation in the snowdrift game on directed small-world networks under self-questioning and noisy conditions , 2010, Comput. Phys. Commun..

[41]  Gilbert Roberts,et al.  Behaviorial evolution: does similarity breed cooperation? , 2002, Nature.

[42]  Robert A. Laird,et al.  Evolutionary Strategy Dynamics for Tag-Based Cooperation and Defection in the Spatial and Aspatial snowdrift Game , 2012, Int. J. Bifurc. Chaos.