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Evolution of cooperative strategies from first principles

Abstract

One of the greatest challenges in the modern biological and social sciences is to understand the evolution of cooperative behaviour. General outlines of the answer to this puzzle are currently emerging as a result of developments in the theories of kin selection1,2,3,4,5,6,7, reciprocity8,9,10, multilevel selection11,12,13,14,15 and cultural group selection16,17. The main conceptual tool used in probing the logical coherence of proposed explanations has been game theory, including both analytical models and agent-based simulations6,7,9,18,19,20,21,22,23,24. The game-theoretic approach yields clear-cut results but assumes, as a rule, a simple structure of payoffs and a small set of possible strategies. Here we propose a more stringent test of the theory by developing a computer model with a considerably extended spectrum of possible strategies. In our model, agents are endowed with a limited set of receptors, a set of elementary actions and a neural net in between. Behavioural strategies are not predetermined; instead, the process of evolution constructs and reconstructs them from elementary actions. Two new strategies of cooperative attack and defence emerge in simulations, as well as the well-known dove, hawk and bourgeois strategies. Our results indicate that cooperative strategies can evolve even under such minimalist assumptions, provided that agents are capable of perceiving heritable external markers of other agents.

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Figure 1: The effect of resource abundance on population density.
Figure 2: The effect of resource abundance on the long-term proportions of agents using various strategies.
Figure 3: Dynamic coexistence of the raven, the cooperative dove and the starling strategies.

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References

  1. Hamilton, W. D. The genetical evolution of social behaviour. I and II. J. Theor. Biol. 7, 1–52 (1964)

    Article  ADS  CAS  Google Scholar 

  2. Maynard Smith, J. Kin selection and group selection. Nature 201, 1145–1147 (1964)

    Article  Google Scholar 

  3. Michod, R. E. & Abugov, R. Adaptive topography in family-structured models of kin selection. Science 210, 667–669 (1980)

    Article  ADS  CAS  Google Scholar 

  4. Lacy, R. C. & Sherman, P. W. Kin recognition by phenotype matching. Am. Nat. 121, 489–512 (1983)

    Article  Google Scholar 

  5. Queller, D. C. A general model for kin selection. Evolution 46, 376–380 (1992)

    Article  Google Scholar 

  6. Riolo, R. L., Cohen, M. D. & Axelrod, R. Evolution of cooperation without reciprocity. Nature 414, 441–443 (2001)

    Article  ADS  CAS  Google Scholar 

  7. Axelrod, R., Hammond, R. A. & Grafen, A. Altruism via kin-selection strategies that rely on arbitrary tags with which they coevolve. Evolution 58, 1833–1838 (2004)

    Article  Google Scholar 

  8. Trivers, R. The evolution of reciprocal altruism. Q. Rev. Biol. 46, 35–57 (1971)

    Article  Google Scholar 

  9. Nowak, M. A. & Sigmund, K. Evolution of indirect reciprocity by image scoring. Nature 393, 573–577 (1998)

    Article  ADS  CAS  Google Scholar 

  10. Bowles, S. & Gintis, H. The evolution of strong reciprocity: cooperation in heterogeneous populations. Theor. Popul. Biol. 65, 17–28 (2004)

    Article  Google Scholar 

  11. Sober, E. & Wilson, D. S. Unto Others: The Evolution and Psychology of Unselfish Behavior (Harvard Univ. Press, Cambridge, Massachusetts, 1998)

    Google Scholar 

  12. Wilson, D. S. Altruism and organism: disentangling the themes of multilevel selection theory. Am. Nat. 150 (suppl.), 122–134 (1997)

    Article  Google Scholar 

  13. Gintis, H. Strong reciprocity and human sociality. J. Theor. Biol. 206, 169–179 (2000)

    Article  ADS  CAS  Google Scholar 

  14. Bowles, S. in Social Dynamics (eds Durlauf, S. N. & Young, H. P.) 155–190 (MIT Press, Cambridge, Massachusetts, 2001)

    Google Scholar 

  15. Turchin, P. Historical Dynamics: Why States Rise and Fall (Princeton Univ. Press, Princeton, New Jersey, 2003)

    MATH  Google Scholar 

  16. Boyd, R. & Richerson, P. J. Culture and the Evolutionary Process (Univ. Chicago Press, Chicago, Illinois, 1985)

    Google Scholar 

  17. Richerson, P. J. & Boyd, R. in Indoctrinability, Ideology, and Warfare (eds Eibl-Eibesfeldt, I. & Salter, F. K.) 71–95 (Berghahn, New York, 1998)

    Google Scholar 

  18. Axelrod, R. & Hamilton, W. D. The evolution of cooperation. Science 211, 1390–1396 (1981)

    Article  ADS  MathSciNet  CAS  Google Scholar 

  19. Axelrod, R. The Complexity of Cooperation: Agent-based Models of Competition and Collaboration (Princeton Univ. Press, Princeton, New Jersey, 1997)

    Book  Google Scholar 

  20. Epstein, J. M. & Axtell, R. Growing Artificial Societies: Social Science from the Bottom Up (Brookings Institution Press, Washington DC, 1996)

    Book  Google Scholar 

  21. Nowak, M. A. & May, R. M. Evolutionary games and spatial chaos. Nature 359, 826–829 (1992)

    Article  ADS  Google Scholar 

  22. McNamara, J. M., Barta, Z. & Houston, A. I. Variation in behavior promotes cooperation in the Prisoner's Dilemma game. Nature 428, 745–748 (2004)

    Article  ADS  CAS  Google Scholar 

  23. Nowak, M., Sasaki, A., Taylor, C. & Fudenberg, D. Emergence of cooperation and evolutionary stability in finite populations. Nature 428, 646–650 (2004)

    Article  ADS  CAS  Google Scholar 

  24. Hauert, C. & Doebeli, M. Spatial structure often inhibits the evolution of cooperation in the snowdrift game. Nature 428, 643–646 (2004)

    Article  ADS  CAS  Google Scholar 

  25. Maynard Smith, J. The theory of games and the evolution of animal conflicts. J. Theor. Biol. 47, 209–222 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  26. Grafen, A. The logic of divisively asymmetric contests: respect for ownership and the desperado effect. Anim. Behav. 35, 462–467 (1987)

    Article  Google Scholar 

  27. Matthiopoulos, J., Moss, R. & Lambin, X. The kin facilitation hypothesis for red grouse population cycles: territorial dynamics of the family cluster. Ecol. Model. 147, 291–307 (2002)

    Article  Google Scholar 

  28. Maher, C. R. & Lott, D. F. A review of ecological determinants of territoriality within vertebrate species. Am. Midl. Nat. 143, 1–29 (2000)

    Article  Google Scholar 

  29. Burtsev, M. S. Tracking the trajectories of evolution. Artif. Life 10, 397–411 (2004)

    Article  Google Scholar 

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Acknowledgements

We thank P. Taylor, H. Gintis and C. Cioffi-Revilla for comments on the manuscript. M.B. was supported by the Russian Fund for Basic Research. P.T. was supported by the NSF.

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Correspondence to Mikhail Burtsev.

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Burtsev, M., Turchin, P. Evolution of cooperative strategies from first principles. Nature 440, 1041–1044 (2006). https://doi.org/10.1038/nature04470

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