The evolution of trust and trustworthiness
Open accessAbstract
Trust and trustworthiness form the basis for continued social and economic interactions, and they are also fundamental for cooperation, fairness, honesty, and indeed for many other forms of prosocial and moral behaviour. However, trust entails risks, and building a trustworthy reputation requires effort. So how did trust and trustworthiness evolve, and under which conditions do they thrive? To find answers, we operationalize trust and trustworthiness using the trust game with the trustor's investment and the trustee's return of the investment as the two key parameters. We study this game on different networks, including the complete network, random and scale-free networks, and in the well-mixed limit. We show that in all but one case, the network structure has little effect on the evolution of trust and trustworthiness. Specifically, for well-mixed populations, lattices, random and scale-free networks, we find that trust never evolves, while trustworthiness evolves with some probability depending on the game parameters and the updating dynamics. Only for the scale-free network with degree non-normalized dynamics, we find parameter values for which trust evolves but trustworthiness does not, as well as values for which both trust and trustworthiness evolve. We conclude with a discussion about mechanisms that could lead to the evolution of trust and outline directions for future work.
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Previous studies on enhancing trust are usually carried out in the framework of one-shot interaction.
“Although there were attempts for enhancing the level of trust from different aspects, we notice that these studies are usually carried out in the framework of one-shot interaction, to our knowledge [8, 9, 16, 24, 26].”
From Conditional investment strategy in evolutionary trust games with repeated group interactions (2022) · cites this paper as [24]
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Cites
Hardin, G. (1968) · Science · doi:10.1126/science.162.3859.1243 · Cited by 25,167 · see citing works
Axelrod, R., & Hamilton, W. D. (1981) · Science · doi:10.1126/science.7466396 · Cited by 20,065 · see citing works
The Evolution of Reciprocal Altruism
Trivers, R. L. (1971) · The Quarterly Review of Biology · doi:10.1086/406755 · Cited by 11,010 · see citing works
Newman, M. (2010) · doi:10.1093/acprof:oso/9780199206650.001.0001 · Cited by 6,595 · see citing works
Five Rules for the Evolution of Cooperation
Nowak, M. A. (2006) · Science · doi:10.1126/science.1133755 · Cited by 5,894 · see citing works
Trust, Reciprocity, and Social History
Berg, J., Dickhaut, J., & McCabe, K. (1995) · Games and Economic Behavior · doi:10.1006/game.1995.1027 · Cited by 5,548 · see citing works
Statistical physics of social dynamics
Castellano, C., Fortunato, S., & Loreto, V. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.591 · Cited by 4,119 · see citing works
Epidemic processes in complex networks
Pastor-Satorras, R., Castellano, C., Van Mieghem, P., & Vespignani, A. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.925 · Cited by 3,697 · see citing works
Oxytocin increases trust in humans
Kosfeld, M., Heinrichs, M., Zak, P. J., Fischbacher, U., & Fehr, E. (2005) · Nature · doi:10.1038/nature03701 · Cited by 3,690 · see citing works
Traffic and related self-driven many-particle systems
Helbing, D. (2001) · Reviews of Modern Physics · doi:10.1103/revmodphys.73.1067 · Cited by 3,249 · see citing works
Liggett, T. M. (1985) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-1-4613-8542-4 · Cited by 2,962 · see citing works
Dynamical Processes on Complex Networks
Barrat, A., Barthélemy, M., & Vespignani, A. (2008) · doi:10.1017/cbo9780511791383 · Cited by 2,704 · cited 1× · see citing works
“An exciting development during the past two decades has been the coming of age of network science [13–16], which combined with other methods of statistical physics [17–19], has reached a level of maturity that allows us to tackle some of the greatest challenges of our time.”
Biological signals as handicaps
Grafen, A. (1990) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(05)80088-8 · Cited by 2,462 · see citing works
Glaeser, E. L., Laibson, D., Scheinkman, J. A., & Soutter, C. L. (2000) · The Quarterly Journal of Economics · doi:10.1162/003355300554926 · Cited by 2,211 · see citing works
Scale-Free Networks Provide a Unifying Framework for the Emergence of Cooperation
Santos, F. C., & Pacheco, J. M. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.098104 · Cited by 1,824 · see citing works
The evolution of altruistic punishment
Boyd, R., Gintis, H., Bowles, S., & Richerson, P. J. (2003) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0630443100 · Cited by 1,748 · see citing works
Statistical physics of human cooperation
Perc, M., Jordan, J., Rand, D. G., Wang, Z., Boccaletti, S., & Szolnoki, A. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.05.004 · Cited by 1,572 · see citing works
Self-citationReputation helps solve the ‘tragedy of the commons’
Milinski, M., Semmann, D., & Krambeck, H.-J. (2002) · Nature · doi:10.1038/415424a · Cited by 1,371 · see citing works
Rand, D. G., & Nowak, M. A. (2013) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2013.06.003 · Cited by 1,308 · see citing works
The Competitive Advantage of Sanctioning Institutions
Gürerk, O., Irlenbusch, B., & Rockenbach, B. (2006) · Science · doi:10.1126/science.1123633 · Cited by 997 · see citing works
Johnson, N. D., & Mislin, A. A. (2011) · Journal of Economic Psychology · doi:10.1016/j.joep.2011.05.007 · Cited by 967 · see citing works
Statistical physics of vaccination
Wang, Z., Bauch, C. T., Bhattacharyya, S., d’Onofrio, A., Manfredi, P., Perc, M., Perra, N., Salathé, M., & Zhao, D. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.10.006 · Cited by 954 · see citing works
Self-citationBohnet, I., & Zeckhauser, R. (2004) · Journal of Economic Behavior & Organization · doi:10.1016/j.jebo.2003.11.004 · Cited by 804 · see citing works
Is It Good to Cooperate? Testing the Theory of Morality-as-Cooperation in 60 Societies
Curry, O. S., Mullins, D., & Whitehouse, H. (2019) · Current Anthropology · doi:10.1086/701478 · Cited by 743 · see citing works
Positive Interactions Promote Public Cooperation
Rand, D. G., Dreber, A., Ellingsen, T., Fudenberg, D., & Nowak, M. A. (2009) · Science · doi:10.1126/science.1177418 · Cited by 715 · see citing works
Monte Carlo Simulation in Statistical Physics
Binder, K., & Heermann, D. W. (1988) · Springer series in solid-state sciences · doi:10.1007/978-3-662-08854-8 · Cited by 703 · see citing works
Coevolution of Strategy and Structure in Complex Networks with Dynamical Linking
Pacheco, J. M., Traulsen, A., & Nowak, M. A. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.258103 · Cited by 697 · see citing works
On The Economics and Biology of Trust
Fehr, E. (2009) · Journal of the European Economic Association · doi:10.1162/jeea.2009.7.2-3.235 · Cited by 680 · see citing works
Universal scaling for the dilemma strength in evolutionary games
Wang, Z., Kokubo, S., Jusup, M., & Tanimoto, J. (2015) · Physics of Life Reviews · doi:10.1016/j.plrev.2015.04.033 · Cited by 582 · see citing works
Dynamical Organization of Cooperation in Complex Topologies
Gómez‐Gardeñes, J., Campillo, M., Florı́a, L. M., & Moreno, Y. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.108103 · Cited by 560 · see citing works
Humans display a ‘cooperative phenotype’ that is domain general and temporally stable
Peysakhovich, A., Nowak, M. A., & Rand, D. G. (2014) · Nature Communications · doi:10.1038/ncomms5939 · Cited by 426 · see citing works
Kimbrough, E. O., & Vostroknutov, A. (2015) · Journal of the European Economic Association · doi:10.1111/jeea.12152 · Cited by 379 · see citing works
Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions
Helbing, D., Szolnoki, A., Perc, M., & Szabó, G. (2010) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000758 · Cited by 377 · see citing works
Self-citationMilinski, M., Semmann, D., Krambeck, H.-J., & Marotzke, J. (2006) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0504902103 · Cited by 371 · see citing works
Imitation processes with small mutations
Fudenberg, D., & Imhof, L. A. (2006) · Journal of Economic Theory · doi:10.1016/j.jet.2005.04.006 · Cited by 335 · see citing works
Social heuristics and social roles: Intuition favors altruism for women but not for men.
Rand, D. G., Brescoll, V. L., Everett, J. A. C., Capraro, V., & Barcelo, H. (2016) · Journal of Experimental Psychology General · doi:10.1037/xge0000154 · Cited by 330 · see citing works
Self-citationTrusting and trustworthiness: What are they, how to measure them, and what affects them
Ben‐Ner, A., & Halldórsson, F. (2009) · Journal of Economic Psychology · doi:10.1016/j.joep.2009.10.001 · Cited by 305 · see citing works
Statistical physics of crime: A review
D'Orsogna, M. R., & Perc, M. (2014) · Physics of Life Reviews · doi:10.1016/j.plrev.2014.11.001 · Cited by 278 · see citing works
Self-citationBreaking the Symmetry between Interaction and Replacement in Evolutionary Dynamics on Graphs
Ohtsuki, H., Nowak, M. A., & Pacheco, J. M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.108106 · Cited by 271 · see citing works
A new route to the evolution of cooperation
Santos, F. C., & Pacheco, J. M. (2006) · Journal of Evolutionary Biology · doi:10.1111/j.1420-9101.2005.01063.x · Cited by 248 · see citing works
Trust and reciprocity decisions: The differing perspectives of trustors and trusted parties
Malhotra, D. K. (2004) · Organizational Behavior and Human Decision Processes · doi:10.1016/j.obhdp.2004.03.001 · Cited by 235 · see citing works
Gender differences in altruism on Mechanical Turk: Expectations and actual behaviour
Brañas‐Garza, P., Capraro, V., & Ramirez, E. G. R. (2018) · Economics Letters · doi:10.1016/j.econlet.2018.05.022 · Cited by 226 · see citing works
Self-citationDefense Mechanisms of Empathetic Players in the Spatial Ultimatum Game
Szolnoki, A., Perc, M., & Szabó, G. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.078701 · Cited by 224 · see citing works
Self-citationSzolnoki, A., & Perc, M. (2013) · Physical Review X · doi:10.1103/physrevx.3.041021 · Cited by 203 · see citing works
Self-citationErmisch, J., Gambetta, D., Laurie, H., Siedler, T., & Uhrig, S. C. N. (2009) · Journal of the Royal Statistical Society Series A (Statistics in Society) · doi:10.1111/j.1467-985x.2009.00591.x · Cited by 201 · see citing works
Evolutionary advantages of adaptive rewarding
Szolnoki, A., & Perc, M. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/9/093016 · Cited by 196 · see citing works
Self-citationPage, K. M., Nowak, M. A., & Sigmund, K. (2000) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2000.1266 · Cited by 185 · see citing works
Incentives and opportunism: from the carrot to the stick
Hilbe, C., & Sigmund, K. (2010) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2010.0065 · Cited by 184 · see citing works
Do people trust too much or too little?
Fetchenhauer, D., & Dunning, D. A. (2008) · Journal of Economic Psychology · doi:10.1016/j.joep.2008.04.006 · Cited by 174 · see citing works
Grand Challenges in Social Physics: In Pursuit of Moral Behavior
Capraro, V., & Perc, M. (2018) · Frontiers in Physics · doi:10.3389/fphy.2018.00107 · Cited by 166 · see citing works
Self-citationCapraro, V., & Rand, D. G. (2018) · Judgment and Decision Making · doi:10.1017/s1930297500008858 · Cited by 166 · see citing works
Self-citationOVERLAPPING GENERATIONS CAN PROMOTE ALTRUISTIC BEHAVIOR
Taylor, P., & Irwin, A. J. (2000) · Evolution · doi:10.1111/j.0014-3820.2000.tb00549.x · Cited by 163 · see citing works
Trust, Reciprocity, and Social History: A Re-examination
Ortmann, A., Fitzgerald, J., & Boeing, C. (2000) · Experimental Economics · doi:10.1023/a:1009946125005 · Cited by 159 · see citing works
“Do the right thing:” The effects of moral suasion on cooperation
Dal Bó, E., & Dal Bó, P. (2014) · Journal of Public Economics · doi:10.1016/j.jpubeco.2014.05.002 · Cited by 157 · see citing works
A Model of Human Cooperation in Social Dilemmas
Capraro, V. (2013) · PLoS ONE · doi:10.1371/journal.pone.0072427 · Cited by 154 · see citing works
Self-citationTrusting Intelligent Machines: Deepening Trust Within Socio-Technical Systems
Andras, P., Esterle, L., Guckert, M., Han, T. A., Lewis, P. R., Milanovic, K., Payne, T., Perret, C., Pitt, J., Powers, S. T., et al. (2018) · IEEE Technology and Society Magazine · doi:10.1109/mts.2018.2876107 · Cited by 153 · see citing works
Evolution of trust and trustworthiness: social awareness favours personality differences
McNamara, J. M., Stephens, P. A., Dall, S. R. X., & Houston, A. I. (2008) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2008.1182 · Cited by 152 · see citing works
Increasing altruistic and cooperative behaviour with simple moral nudges
Capraro, V., Jagfeld, G., Klein, R., Mul, M., & de Pol, I. V. (2019) · Scientific Reports · doi:10.1038/s41598-019-48094-4 · Cited by 135 · see citing works
Self-citationClimate change governance, cooperation and self-organization
Pacheco, J. M., de Vasconcelos, V. V. L., & Santos, F. C. (2014) · Physics of Life Reviews · doi:10.1016/j.plrev.2014.02.003 · Cited by 134 · see citing works
Emergent Hierarchical Structures in Multiadaptive Games
Lee, S., Holme, P., & Wu, Z.-X. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.028702 · Cited by 120 · see citing works
Heterogeneous update mechanisms in evolutionary games: Mixing innovative and imitative dynamics
Amaral, M. A., & Javarone, M. A. (2018) · Physical review. E · doi:10.1103/physreve.97.042305 · Cited by 105 · see citing works
Perc, M. (2019) · Scientific Reports · doi:10.1038/s41598-019-53300-4 · Cited by 104 · see citing works
Self-citationNetwork reciprocity by coexisting learning and teaching strategies
Tanimoto, J., Brede, M., & Yamauchi, A. (2012) · Physical Review E · doi:10.1103/physreve.85.032101 · Cited by 102 · see citing works
Trust as a social and emotional act: Noneconomic considerations in trust behavior
Dunning, D. A., Fetchenhauer, D., & Schlösser, T. M. (2011) · Journal of Economic Psychology · doi:10.1016/j.joep.2011.09.005 · Cited by 95 · see citing works
Does telling white lies signal pro-social preferences?
Biziou-van-Pol, L., Haenen, J., Novaro, A., Liberman, A. O., & Capraro, V. (2015) · Judgment and Decision Making · doi:10.1017/s1930297500006987 · Cited by 94 · see citing works
Self-citationStatistical physics of the spatial Prisoner’s Dilemma with memory-aware agents
Javarone, M. A. (2016) · The European Physical Journal B · doi:10.1140/epjb/e2016-60901-5 · Cited by 84 · see citing works
The effect of the topology on the spatial ultimatum game
Kuperman, M. N., & Risau-Gusman, S. (2008) · The European Physical Journal B · doi:10.1140/epjb/e2008-00133-x · Cited by 83 · see citing works
Evolution of commitment and level of participation in public goods games
Han, T. A., Pereira, L. M., & Lenaerts, T. (2016) · Autonomous Agents and Multi-Agent Systems · doi:10.1007/s10458-016-9338-4 · Cited by 82 · see citing works
Good Agreements Make Good Friends
Han, T. A., Pereira, L. M., Santos, F. C., & Lenaerts, T. (2013) · Scientific Reports · doi:10.1038/srep02695 · Cited by 81 · see citing works
The $N$ -Player Trust Game and its Replicator Dynamics
Abbass, H. A., Greenwood, G. W., & Petraki, E. (2015) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2015.2484840 · Cited by 79 · see citing works
Accuracy in strategy imitations promotes the evolution of fairness in the spatial ultimatum game
Szolnoki, A., Perc, M., & Szabó, G. (2012) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/100/28005 · Cited by 77 · see citing works
Self-citationAvoiding or restricting defectors in public goods games?
Han, T. A., Pereira, L. M., & Lenaerts, T. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.1203 · Cited by 74 · see citing works
Apology and forgiveness evolve to resolve failures in cooperative agreements
Martínez-Vaquero, L. A., Han, T. A., Pereira, L. M., & Lenaerts, T. (2015) · Scientific Reports · doi:10.1038/srep10639 · Cited by 73 · see citing works
Synergistic third-party rewarding and punishment in the public goods game
Fang, Y., Benko, T. P., Perc, M., Xu, H., & Tan, Q. (2019) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2019.0349 · Cited by 73 · see citing works
Self-citationEriksson, K., Strimling, P., Andersson, P., & Lindholm, T. (2016) · Journal of Experimental Social Psychology · doi:10.1016/j.jesp.2016.09.004 · Cited by 71 · see citing works
Evolution of cooperation driven by zealots
Masuda, N. (2012) · Scientific Reports · doi:10.1038/srep00646 · Cited by 68 · see citing works
Social Dilemma Cooperation (Unlike Dictator Game Giving) Is Intuitive for Men As Well As WomenPreprint
Rand, D. G. (2017) · SSRN Electronic Journal · doi:10.1016/j.jesp.2017.06.013 · Cited by 66 · see citing works
Information, Irrationality and the Evolution of Trust
Manapat, M. L., Nowak, M. A., & Rand, D. G. (2012) · Journal of Economic Behavior & Organization · doi:10.1016/j.jebo.2012.10.018 · Cited by 62 · see citing works
People Do Not Feel Guilty About Exploiting Machines
Melo, C. D., Marsella, S., & Gratch, J. S. (2016) · ACM Transactions on Computer-Human Interaction · doi:10.1145/2890495 · Cited by 59 · see citing works
To trust, or not to trust: Cognitive reflection in trust games
Corgnet, B., Espín, A. M., Hérnan-Gonzalez, R., Kujal, P., & Rassenti, S. (2015) · Journal of Behavioral and Experimental Economics · doi:10.1016/j.socec.2015.09.008 · Cited by 56 · see citing works
Second-order freeriding on antisocial punishment restores the effectiveness of prosocial punishmentPreprint
Szolnoki, A., & Perc, M. (2017) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/198192 · Cited by 55 · see citing works
Self-citationThe evolution of lying in well-mixed populations
Capraro, V., Perc, M., & Vilone, D. (2019) · Journal of The Royal Society Interface · doi:10.1098/rsif.2019.0211 · Cited by 49 · see citing works
Self-citationThe coevolutionary ultimatum game
Gao, J., Li, Z., Wu, T., & Wang, L. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/93/48003 · Cited by 46 · see citing works
Partner selection supported by opaque reputation promotes cooperative behavior
Capraro, V., Giardini, F., Vilone, D., & Paolucci, M. (2016) · Judgment and Decision Making · doi:10.1017/s1930297500004800 · Cited by 45 · see citing works
Self-citationEffects of update rules on networked n-player trust game dynamics
Chica, M., Chiong, R., Ramasco, J. J., & Abbass, H. (2019) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2019.104870 · Cited by 39 · see citing works
Lying on networks: The role of structure and topology in promoting honesty
Capraro, V., Perc, M., & Vilone, D. (2020) · Physical review. E · doi:10.1103/physreve.101.032305 · Cited by 37 · see citing works
Self-citationFinite-population evolution with rare mutations in asymmetric games
Veller, C., & Hayward, L. K. (2015) · Journal of Economic Theory · doi:10.1016/j.jet.2015.12.005 · Cited by 35 · see citing works
The coevolutionary ultimatum game on different network topologies
Deng, L., Tang, W., & Zhang, J. (2011) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2011.06.076 · Cited by 29 · see citing works
CRITICAL BEHAVIOR IN AN EVOLUTIONARY ULTIMATUM GAME WITH SOCIAL STRUCTURE
Eguı́luz, V. M., & Tessone, C. J. (2009) · Advances in Complex Systems · doi:10.1142/s0219525909002179 · Cited by 22 · see citing works
When agreement-accepting free-riders are a necessary evil for the evolution of cooperation
Martínez-Vaquero, L. A., Han, T. A., Pereira, L. M., & Lenaerts, T. (2017) · Scientific Reports · doi:10.1038/s41598-017-02625-z · Cited by 22 · see citing works
Heterogeneous Motives in the Trust Game: A Tale of Two Roles
Espín, A. M., Exadaktylos, F., & Neyse, L. (2016) · Frontiers in Psychology · doi:10.3389/fpsyg.2016.00728 · Cited by 21 · see citing works
Delayed and Inconsistent Information and the Evolution of Trust
Manapat, M. L., & Rand, D. G. (2012) · Dynamic Games and Applications · doi:10.1007/s13235-012-0055-6 · Cited by 20 · see citing works
da Silva, R., Kellermann, G. A., & Lamb, L. C. (2009) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2009.01.017 · Cited by 18 · see citing works
Evolution of honest signaling by social punishment
Catteeuw, D., Han, T. A., & Manderick, B. (2014) · Genetic and Evolutionary Computation Conference (GECCO) · doi:10.1145/2576768.2598312 · Cited by 16 · see citing works
Bao, M., & Wild, G. (2012) · Theoretical Population Biology · doi:10.1016/j.tpb.2012.06.006 · Cited by 13 · see citing works
Hierarchical invasion of cooperation in complex networks
Vilone, D., Capraro, V., & Ramasco, J. J. (2018) · Journal of Physics Communications · doi:10.1088/2399-6528/aaab2e · Cited by 7 · see citing works
Self-citationExpectations of Fairness and Trust Co-Evolve in Environments of Partial Information
Rauwolf, P., & Bryson, J. J. (2017) · Dynamic Games and Applications · doi:10.1007/s13235-017-0230-x · Cited by 6 · see citing works
Flagged first, then by citations
Research works printed but not linked: 51
- [2]S. Pinker, Enlightenment now: The case for reason, science, humanism, and progress (Penguin, 2018).
- [4]R. L. Trivers, The Quarterly Review of Biology 46 , 35 (1971).
- [7]R. Boyd, H. Gintis, S. Bowles, and P. J. Richerson, Proceedings of the National Academy of Sciences 100 , 3531 (2003).
- [9]C. Hilbe and K. Sigmund, Proceedings of the Royal Society B: Biological Sciences 277 , 2427 (2010).
- [14]M. E. J. Newman, Networks: An Introduction (Oxford University Press, Oxford, U.K., 2010).
- [15]E. Estrada, The Structure of Complex Networks: Theory and Applications (Oxford University Press, Oxford, 2012).
- [16]A.-L. Barab´ asi, Network Science (Cambridge University Press, Cambridge, 2015).
- [17]H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Clarendon Press, Oxford, 1971).
- [19]D. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, 2000).
- [26]M. Perc, Sci. Rep. 9 , in press (2019).
- [27]F. C. Santos and J. M. Pacheco, Physical Review Letters 95 , 098104 (2005).
- [28]J. M. Pacheco, A. Traulsen, and M. A. Nowak, Physical Review Letters 97 , 258103 (2006).
- [29]J. G´ omez-Gardenes, M. Campillo, L. M. Flor´ ıa, and Y. Moreno, Physical Review Letters 98 , 108103 (2007).
- [30]H. Ohtsuki, M. A. Nowak, and J. M. Pacheco, Physical Review Letters 98 , 108106 (2007).
- [31]S. Lee, P. Holme, and Z.-X. Wu, Physical Review Letters 106 , 028702 (2011).
- [36]D. Vilone, V. Capraro, and J. J. Ramasco, Journal of Physics Communications 2 , 025019 (2018).
- [37]A. Szolnoki, M. Perc, and G. Szab´ o, Physical Review Letters 109 , 078701 (2012).
- [38]K. M. Page, M. A. Nowak, and K. Sigmund, Proceedings of the Royal Society of London. Series B: Biological Sciences 267 , 2177 (2000).
- [39]M. Kuperman and S. Risau-Gusman, The European Physical Journal B 62 , 233 (2008).
- [41]R. da Silva, G. A. Kellermann, and L. C. Lamb, Journal of Theoretical Biology 258 , 208 (2009).
- [43]J. Gao, Z. Li, T. Wu, and L. Wang, EPL (Europhysics Letters) 93 , 48003 (2011).
- [44]A. Szolnoki, M. Perc, and G. Szab´ o, EPL (Europhysics Letters) 100 , 28005 (2012).
- [48]E. Dal B´ o and P. Dal B´ o, Journal of Public Economics 117 , 28 (2014).
- [50]E. O. Kimbrough and A. Vostroknutov, Journal of the European Economic Association 14 , 608 (2016).
- [51]K. Eriksson, P. Strimling, P. A. Andersson, and T. Lindholm, Journal of Experimental Social Psychology 69 , 59 (2017).
- [55]V. Capraro, M. Perc, and D. Vilone, Journal of the Royal Society Interface 16 , 20190211 (2019).
- [56]V. Capraro, M. Perc, and D. Vilone, Physical Review E (2020).
- [60]E. L. Glaeser, D. I. Laibson, J. A. Scheinkman, and C. L. Soutter, The Quarterly Journal of Economics 115 , 811 (2000).
- [61]I. Bohnet and R. Zeckhauser, Journal of Economic Behavior &Organization 55 , 467 (2004).
- [64]E. Fehr, Journal of the European Economic Association 7 , 235 (2009).
- [65]N. D. Johnson and A. A. Mislin, Journal of Economic Psychology 32 , 865 (2011).
- [67]D. Fetchenhauer and D. Dunning, Journal of Economic Psychology 30 , 263 (2009).
- [68]D. Dunning, D. Fetchenhauer, and T. M. Schl¨ osser, Journal of Economic Psychology 33 , 686 (2012).
- [69]B. Corgnet, A. M. Esp´ ın, R. Hern´ an-Gonz´ alez, P. Kujal, and S. Rassenti, Journal of Behavioral and Experimental Economics 64 , 20 (2016).
- [70]A. Ben-Ner and F. Halldorsson, Journal of Economic Psychology 31 , 64 (2010).
- [71]J. Ermisch, D. Gambetta, H. Laurie, T. Siedler, and S. Noah Uhrig, Journal of the Royal Statistical Society: Series A (Statistics in Society) 172 , 749 (2009).
- [75]A. Grafen, Journal of Theoretical Biology 144 , 517 (1990).
- [76]D. Catteeuw, T. A. Han, and B. Manderick, in Proceedings of the 2014 Annual Conference on Genetic and Evolutionary Computation (2014), pp. 153-160.
- [78]T. A. Han, L. M. Pereira, and T. Lenaerts, Journal of the Royal Society Interface 12 , 20141203 (2015).
- [80]J. M. McNamara, P. A. Stephens, S. R. Dall, and A. I. Houston, Proceedings of the Royal Society B: Biological Sciences 276 , 605 (2009).
- [81]M. L. Manapat, M. A. Nowak, and D. G. Rand, Journal of Economic Behavior & Organization 90 , S57 (2013).
- [83]H. Abbass, G. Greenwood, and E. Petraki, IEEE Transactions on Evolutionary Computation 20 , 470 (2015).
- [87]P. Andras, L. Esterle, M. Guckert, T. A. Han, P. R. Lewis, K. Milanovic, T. Payne, C. Perret, J. Pitt, S. T. Powers, et al., IEEE Technology and Society Magazine 37 , 76 (2018).
- [91]M. Milinski, D. Semmann, H.-J. Krambeck, and J. Marotzke, Proceedings of the National Academy of Sciences 103 , 3994 (2006).
- [94]C. D. Melo, S. Marsella, and J. Gratch, ACM Transactions on Computer-Human Interaction (TOCHI) 23 , 1 (2016).
- [96]L. M. Pereira, T. Lenaerts, L. A. Martinez-Vaquero, and T. A. Han, in AAMAS (2017), pp. 1422-1430.
- [97]Y. Fang, T. P. Benko, M. Perc, H. Xu, and Q. Tan, Proceedings of the Royal Society A 475 , 20190349 (2019).
- [99]C. Veller and L. K. Hayward, Journal of Economic Theory 162 , 93 (2016).
- [102]D. G. Rand, V. L. Brescoll, J. A. Everett, V. Capraro, and H. Barcelo, Journal of Experimental Psychology: General 145 , 389 (2016).
- [103]D. G. Rand, Journal of experimental social psychology 73 , 164 (2017).
- [104]P. Bra˜ nas-Garza, V. Capraro, and E. Rascon-Ramirez, Economics Letters 170 , 19 (2018).
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Coevolution of cognition and cooperation in structured populations under reinforcement learning
Mastrandrea, R., Boncinelli, L., & Bilancini, E. (2024) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2024.114799 · Cited by 2 · see citing works
- Authors
- Kumar, A., Capraro, V., & Perc, M.
- Affiliations
- Indian Institute of Science Education and Research Pune (IN)
- Middlesex University London (GB)
- China Medical University (TW)
- Corresponding author
- Capraro, Valerio
- Venue
- Journal of The Royal Society Interface
- Publisher
- The Royal Society
- Published
- 2020-08
- Volume
- 17
- Issue
- 169
- Pages
- 20200491
- ISSN
- 1742-5662 (ISSN-L)
- 1742-5689
- PMC
- PMC7482572
- OpenAlex
- W3048692749
- Cited by
- 148
- References
- 97
- Citations by year
- 2026: 27 · 2025: 27 · 2024: 30 · 2023: 21 · 2022: 13 · 2021: 23 · 2020: 7
- FWCI
- 21.40
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Licence
- Locations
- Journal of The Royal Society Interface (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Middlesex University Research Repository (Middlesex University Of London) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- BOA (University of Milano-Bicocca) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Social Sciences › Sociology and Political Science › Evolutionary Game Theory and Cooperation
- Social Sciences › Safety Research › Experimental Behavioral Economics Studies
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Evolutionary Psychology and Human Behavior
- Keywords
- trustworthiness, trust game, cooperation, social networks, scale-free networks, random networks, well-mixed populations, lattice networks, reputation, prosocial behavior, evolutionary dynamics
- MeSH terms
- Probability, Trust
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