Abstract
The evolution of cooperation is a long-standing problem that has baffled biologists and sociologists alike. The problem is that not cooperating often allows for a higher immediate benefit, so why should cooperation take place? Nonetheless, we often observe cooperative behaviour, especially so in humans. One of the theories is that people use a reputational mechanism for cooperation, known as indirect reciprocity. Using a mapping of cooperating as positive links and defection as negative links, we will show that our previously introduced model for social balance leads to cooperative behaviour, unlike earlier models. This suggests that even though social balance allows cooperation to endure, it comes with a downside that any population is likely to split into two antagonistic groups.
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References
Adami C, Hintze A (2013) Evolutionary instability of zero-determinant strategies demonstrates that winning is not everything. Nat Commun 4. doi:10.1038/ncomms3193
Alexander RD (1987) The biology moral systems. Aldine de Gruyter, New York
Axelrod R (1984) Evolution of cooperation. Basic Books. ISBN 0465021220
Brandt H, Sigmund K (2004) The logic of reprobation: assessment and action rules for indirect reciprocation. J Theor Biol 231(4):475–486. doi:10.1016/j.jtbi.2004.06.032
Dunbar RIM (1998) Grooming, gossip, and the evolution of language. Harvard University Press, Cambridge ISBN 0674363361
Elias N, Scotson JL (1994) The established and the outsiders. SAGE Publications, London ISBN 9780803979499
Fehr E, Fischbacher U (2004) Third-party punishment and social norms. Evol Hum Behav 25(2):63–87. doi:10.1016/S1090-5138(04)00005-4
Friedkin NE (2001) Norm formation in social influence networks. Soc Netw 23(3):167–189. doi:10.1016/S0378-8733(01)00036-3
Hamilton W (1964) The genetical evolution of social behaviour I. J Theor Biol 7(1):1–16. doi:10.1016/0022-5193(64)90038-4
Hamilton WD (1967) Extraordinary sex ratios. Science 156(3774):477–488. doi:10.1126/science.156.3774.477
Hilbe C, Nowak MA, Sigmund K (2013) Evolution of extortion in iterated prisoner’s dilemma games. Proc Nat Acad Sci 110(17):6913–6918. doi:10.1073/pnas.1214834110
Hofbauer J, Sigmund K (1998) Evolutionary games and population dynamics. Cambridge University Press, Cambridge. ISBN 052162570X
Imhof LA, Nowak MA (2006) Evolutionary game dynamics in a Wright-Fisher process. J Math Biol 52(5):667–681. doi:10.1007/s00285-005-0369-8
Leimar O, Hammerstein P (2001) Evolution of cooperation through indirect reciprocity. Proc R Soc Biol Sci 268(1468):745–753. doi:10.1098/rspb.2000.1573
Maynard Smith J (1982) Evolution and the theory of games. Cambridge University Press, Cambridge 0521288843
Maynard Smith J, Price G (1973) The logic of animal conflict. Nature 246(5427):15–18. doi:10.1038/246015a0
Milinski M, Semmann D, Bakker TC, Krambeck HJ (2001) Cooperation through indirect reciprocity: image scoring or standing strategy? Proc R Soc Biol Sci 268(1484):2495–2501. doi:10.1098/rspb.2001.1809
Nash J (1953) Two-person cooperative games. Econometrica 21(1):128. doi:10.2307/1906951
Nowak M, Sigmund K (1993) A strategy of win-stay, lose-shift that outperforms tit-for-tat in the Prisoner’s Dilemma game. Nature 364(6432):56–58. doi:10.1038/364056a0
Nowak MA (2006a) Evolutionary dynamics: exploring the equations of life. Belknap Press of Harvard University Press. ISBN 0674023382
Nowak MA (2006b) Five rules for the evolution of cooperation. Science 314(5805):1560–1563. doi:10.1126/science.1133755
Nowak MA, Sasaki A, Taylor C, Fudenberg D (2004) Emergence of cooperation and evolutionary stability in finite populations. Nature 428. doi:10.1038/nature02360
Nowak MA, Sigmund K (1998a) Evolution of indirect reciprocity by image scoring. Nature 393(6685):573–577. doi:10.1038/31225
Nowak MA, Sigmund K (1998) The dynamics of indirect reciprocity. J Theor Biol 194(4):561–574. doi:10.1006/jtbi.1998.0775
Nowak MA, Sigmund K (2005) Evolution of indirect reciprocity. Nature 437(7063):1291–1298. doi:10.1038/nature04131
Ohtsuki H, Iwasa Y (2004) How should we define goodness?—reputation dynamics in indirect reciprocity. J Theor Biol 231(1):107–120. doi:10.1016/j.jtbi.2004.06.005
Ohtsuki H, Iwasa Y (2006) The leading eight: social norms that can maintain cooperation by indirect reciprocity. J Theor Biol 239(4):435–444. doi:10.1016/j.jtbi.2005.08.008
Panchanathan K, Boyd R (2003) A tale of two defectors: the importance of standing for evolution of indirect reciprocity. J Theor Biol 224(1):115–126. doi:10.1016/S0022-5193(03)00154-1
Piazza J, Bering JM (2008) Concerns about reputation via gossip promote generous allocations in an economic game. Evol Human Behav 29(3):172–178. doi:10.1016/j.evolhumbehav.2007.12.002
Press WH, Dyson FJ (2012) Iterated Prisoner’s Dilemma contains strategies that dominate any evolutionary opponent. Proc Natl Acad Sci USA 109(26):10409–10413. doi:10.1073/pnas.1206569109
Sella G, Hirsh AE (2005) The application of statistical physics to evolutionary biology. Proc Natl Acad Sci USA 102(27):9541–9546
Sommerfeld RD, Krambeck HJ, Milinski M (2008) Multiple gossip statements and their effect on reputation and trustworthiness. Proc R Soc Biol Sci 275(1650):2529–2536. doi:10.1098/rspb.2008.0762
Sommerfeld RD, Krambeck HJ, Semmann D, Milinski M (2007) Gossip as an alternative for direct observation in games of indirect reciprocity. Proc Natl Acad Sci USA 104(44):17435–17440. doi:10.1073/pnas.0704598104
Traulsen A, Claussen J, Hauert C (2005) Coevolutionary dynamics: from finite to infinite populations. Phys Rev Lett 95(23):238701. doi:10.1103/PhysRevLett. 95.238701
Traulsen A, Nowak M, Pacheco J (2006) Stochastic dynamics of invasion and fixation. Phys Rev E 74(1):011909. doi:10.1103/PhysRevE.74.011909
Traulsen A, Shoresh N, Nowak MA (2008) Analytical results for individual and group selection of any intensity. Bull Math Biol 70(5):1410–1424. doi:10.1007/s11538-008-9305-6
Von Neumann J, Morgenstern O (2007) Theory of games and economic behavior. Princeton University Press. ISBN 0691130612
Wilson DS (1975) A theory of group selection. Proc Natl Acad Sci 72(1):143–146. doi:10.1073/pnas.72.1.143
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Traag, V. (2014). Evolution of Cooperation. In: Algorithms and Dynamical Models for Communities and Reputation in Social Networks. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-06391-1_9
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DOI: https://doi.org/10.1007/978-3-319-06391-1_9
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