Population Structure Promotes the Evolution of Intuitive Cooperation and Inhibits Deliberation

Spatial structure is one of the most studied mechanisms in evolutionary game theory. Here, we explore the consequences of spatial structure for a question which has received considerable empirical and theoretical attention in recent years, but has not yet been studied from a network perspective: whether cooperation relies on intuitive predispositions or deliberative self-control. We examine this question using a model which integrates the “dual-process” framework from cognitive science with evolutionary game theory, and considers the evolution of agents who are embedded within a social network and only interact with their neighbors. In line with past work in well-mixed populations, we find that selection favors either the intuitive defector strategy which never deliberates, or the dual-process cooperator strategy which intuitively cooperates but uses deliberation to switch to defection when doing so is payoff-maximizing. We find that sparser networks (i.e., smaller average degree) facilitate the success of dual-process cooperators over intuitive defectors, while also reducing the level of deliberation that dual-process cooperators engage in; and that these results generalize across different kinds of networks. These observations demonstrate the important role that spatial structure can have not just on the evolution of cooperation, but on the co-evolution of cooperation and cognition.

[1]  Matthias Rieger,et al.  Intuitive help and punishment in the field , 2017 .

[2]  Fiery Cushman,et al.  Deliberation erodes cooperative behavior – even towards competitive out-groups, even when using a control condition, and even when eliminating selection bias , 2017 .

[3]  Glenn Ellison Learning, Local Interaction, and Coordination , 1993 .

[4]  S. Sloman The empirical case for two systems of reasoning. , 1996 .

[5]  H. Ohtsuki,et al.  A simple rule for the evolution of cooperation on graphs and social networks , 2006, Nature.

[6]  Gerald A. Feltham The Value of Information , 2016 .

[7]  David G. Rand,et al.  Opposing Oxytocin Effects on Intergroup Cooperative Behavior in Intuitive and Reflective Minds , 2015, Neuropsychopharmacology.

[8]  K. Lindgren,et al.  Evolutionary dynamics of spatial games , 1994 .

[9]  Attila Szolnoki,et al.  Coevolutionary Games - A Mini Review , 2009, Biosyst..

[10]  David G. Rand,et al.  Reflections on the Time-Pressure Cooperation Registered Replication Report , 2017, Perspectives on psychological science : a journal of the Association for Psychological Science.

[11]  M. Nowak,et al.  Evolutionary dynamics in structured populations , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[12]  Matthijs van Veelen,et al.  A general evolutionary framework for the role of intuition and deliberation in cooperation , 2017, Nature Human Behaviour.

[13]  Babak Heydari,et al.  Network Modularity is essential for evolution of cooperation under uncertainty , 2015, Scientific Reports.

[14]  M N,et al.  The Evolution of Cooperation in a Lattice-Structured Population , 1996 .

[15]  Duncan J. Watts,et al.  Cooperation and Contagion in Web-Based, Networked Public Goods Experiments , 2010, SECO.

[16]  Adam Bear,et al.  Co-Evolution of Cooperation and Cognition: The Impact of Imperfect Deliberation and Context-Sensitive Intuition , 2017 .

[17]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[18]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[19]  Matjaž Perc,et al.  Phase transitions in models of human cooperation , 2016 .

[20]  Attila Szolnoki,et al.  Evolutionary dynamics of cooperation in neutral populations , 2017, ArXiv.

[21]  Angel Sánchez,et al.  A comparative analysis of spatial Prisoner's Dilemma experiments: Conditional cooperation and payoff irrelevance , 2014, Scientific Reports.

[22]  V. Capraro,et al.  Rethinking spontaneous giving: Extreme time pressure and ego-depletion favor self-regarding reactions , 2016, Scientific Reports.

[23]  M. Doebeli,et al.  Spatial evolutionary game theory: Hawks and Doves revisited , 1996, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[24]  David G. Rand,et al.  Social Context and the Dynamics of Cooperative Choice , 2014 .

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

[26]  D. Dickinson,et al.  Sleep restriction and circadian effects on social decisions , 2017 .

[27]  Arne Traulsen,et al.  Human strategy updating in evolutionary games , 2010, Proceedings of the National Academy of Sciences.

[28]  David G. Rand,et al.  Risking Your Life without a Second Thought: Intuitive Decision-Making and Extreme Altruism , 2014, PloS one.

[29]  P. Erdos,et al.  On the evolution of random graphs , 1984 .

[30]  Keith E. Stanovich,et al.  Individual differences in rational thought. , 1998 .

[31]  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.

[32]  Babak Heydari,et al.  Fair Topologies: Community Structures and Network Hubs Drive Emergence of Fairness Norms , 2017, Scientific Reports.

[33]  Verena Utikal,et al.  Affect and fairness: Dictator games under cognitive load , 2014 .

[34]  Peter D. Taylor,et al.  Evolution of cooperation in a finite homogeneous graph , 2007, Nature.

[35]  David G. Rand,et al.  Time Pressure Increases Cooperation in Competitively Framed Social Dilemmas , 2014, PloS one.

[36]  Attila Szolnoki,et al.  Resolving social dilemmas on evolving random networks , 2009, 0910.1905.

[37]  J. Lohse Smart or Selfish - When Smart Guys Finish Nice , 2014 .

[38]  D. Kahneman A perspective on judgment and choice: mapping bounded rationality. , 2003, The American psychologist.

[39]  David G. Rand,et al.  Evolutionary game dynamics of controlled and automatic decision-making. , 2015, Chaos.

[40]  David G. Rand,et al.  Spontaneous giving and calculated greed , 2012, Nature.

[41]  David G. Rand,et al.  Static network structure can stabilize human cooperation , 2014, Proceedings of the National Academy of Sciences.

[42]  Lourdes Araujo,et al.  Social Experiments in the Mesoscale: Humans Playing a Spatial Prisoner's Dilemma , 2010, PloS one.

[43]  D. Helbing,et al.  The outbreak of cooperation among success-driven individuals under noisy conditions , 2009, Proceedings of the National Academy of Sciences.

[44]  Arne Traulsen,et al.  Consistent Strategy Updating in Spatial and Non-Spatial Behavioral Experiments Does Not Promote Cooperation in Social Networks , 2012, PloS one.

[45]  Michael Doebeli,et al.  A simple and general explanation for the evolution of altruism , 2009, Proceedings of the Royal Society B: Biological Sciences.

[46]  David G. Rand,et al.  Evolution: The value of information , 2017, Nature Human Behaviour.

[47]  David G. Rand,et al.  Habits of Virtue: Creating Norms of Cooperation and Defection in the Laboratory , 2015, Manag. Sci..

[48]  M. Nowak Five Rules for the Evolution of Cooperation , 2006, Science.

[49]  David G. Rand,et al.  Reflection does not undermine self-interested prosociality , 2014, Front. Behav. Neurosci..

[50]  N. Srinivasan,et al.  Registered Replication Report: Rand, Greene, and Nowak (2012) , 2017, Perspectives on psychological science : a journal of the Association for Psychological Science.

[51]  Eirik Strømland,et al.  Cooperating, Fast and Slow: Testing the Social Heuristics Hypothesis , 2016, SSRN Electronic Journal.

[52]  Nicky J Welton,et al.  Value of Information , 2015, Medical decision making : an international journal of the Society for Medical Decision Making.

[53]  Arne Traulsen,et al.  Strategy abundance in 2x2 games for arbitrary mutation rates. , 2008, Journal of theoretical biology.

[54]  B. Bollobás The evolution of random graphs , 1984 .

[55]  David G. Rand,et al.  Intuition, deliberation, and the evolution of cooperation , 2016, Proceedings of the National Academy of Sciences.

[56]  G. Szabó,et al.  Evolutionary games on graphs , 2006, cond-mat/0607344.

[57]  David G. Rand Cooperation, Fast and Slow , 2016, Psychological science.

[58]  David G. Rand,et al.  The evolution and devolution of cognitive control: The costs of deliberation in a competitive world , 2015, Scientific Reports.

[59]  David G. Rand,et al.  Social Heuristics and Social Roles: Intuition Favors Altruism for Women But Not for Men , 2016, Journal of experimental psychology. General.

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

[61]  Valerio Capraro,et al.  Social setting, intuition and experience in laboratory experiments interact to shape cooperative decision-making , 2015, Proceedings of the Royal Society B: Biological Sciences.

[62]  C. Hauert,et al.  Game theory and physics , 2005 .

[63]  Daniel Västfjäll,et al.  Intuition and cooperation reconsidered , 2013, Nature.

[64]  Siegfried Dewitte,et al.  Bulletin Personality and Social Psychology Are Social Value Orientations Expressed Automatically? Decision Making in the Dictator Game on Behalf Of: Society for Personality and Social Psychology , 2022 .

[65]  Arne Traulsen,et al.  How mutation affects evolutionary games on graphs. , 2012, Journal of theoretical biology.

[66]  David G. Rand,et al.  Dynamic social networks promote cooperation in experiments with humans , 2011, Proceedings of the National Academy of Sciences.

[67]  Peter P. J. L. Verkoeijen,et al.  Does Intuition Cause Cooperation? , 2014, PloS one.

[68]  H. Ohtsuki,et al.  Strategy selection in structured populations. , 2009, Journal of theoretical biology.

[69]  Sebastian Lotz,et al.  Spontaneous Giving under Structural Inequality: Intuition Promotes Cooperation in Asymmetric Social Dilemmas , 2014, PloS one.

[70]  Jonathan Evans,et al.  Science Perspectives on Psychological , 2022 .

[71]  M. Piovesan,et al.  Cognitive Load and Cooperation , 2017 .

[72]  David G. Rand,et al.  Social heuristics shape intuitive cooperation , 2014, Nature Communications.

[73]  David G. Rand,et al.  Cyclical Population Dynamics of Automatic Versus Controlled Processing: An Evolutionary Pendulum , 2017, Psychological review.

[74]  Attila Szolnoki,et al.  Statistical Physics of Human Cooperation , 2017, ArXiv.

[75]  David G. Rand,et al.  Social dilemma cooperation (unlike Dictator Game giving) is intuitive for men as well as women. , 2017, Journal of experimental social psychology.