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Simulating Collective Behavior in the Movement of Immigrants by Using a Spatial Prisoner’s Dilemma with Move Option

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Bio-inspired Computing: Theories and Applications (BIC-TA 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1160))

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Abstract

The movement of immigrants is simulated by using a spatial Prisoner’s Dilemma (PD) with move option. We explore the effect of collective behavior in an evolutionary migrating dynamics. Simulation results show that immigrants adopting collective strategy perform better and thus gain higher survival rate than those not. This research suggests that the clustering of immigrants promotes cooperation.

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References

  1. Smith, J.M., Szathmary, E.: The Major Transitions in Evolution. Oxford University Press, Oxford (1997)

    Google Scholar 

  2. Smith, J.M.: Evolution and the Theory of Games. Cambridge University Press, Cambridge (1982)

    Book  Google Scholar 

  3. Liebrand, W.B.G.: A classification of social dilemma games. Simul. Games 14(2), 123–138 (1983)

    Article  Google Scholar 

  4. Rapoport, A.: Two-Person Game Theory. Courier Corporation, Chelmsford (2013)

    MATH  Google Scholar 

  5. Boyd, R., Richerson, P.J.: The evolution of reciprocity in sizable groups. J. Theoret. Biol. 132(3), 337–356 (1988)

    Article  MathSciNet  Google Scholar 

  6. Hamilton, W.D.: The genetical evolution of social behaviour. (ii). J. Theoret. Biol. 7(1), 17–52 (1964)

    Article  Google Scholar 

  7. Nowak, M.A.: Evolutionary Dynamics. Harvard University Press, Cambridge (2006)

    Book  Google Scholar 

  8. Szabó, G., Fath, G.: Evolutionary games on graphs. Phys. Rep. 446(4–6), 97–216 (2007)

    Article  MathSciNet  Google Scholar 

  9. Vainstein, M.H., Silva, A.T.C., Arenzon, J.J.: Does mobility decrease cooperation? J. Theoret. Biol. 244(4), 722–728 (2007)

    Article  MathSciNet  Google Scholar 

  10. Santos, F.C., Pacheco, J.M.: Scale-free networks provide a unifying framework for the emergence of cooperation. Phys. Rev. Lett. 95(9), 098104 (2005)

    Article  Google Scholar 

  11. Meloni, S., et al.: Effects of mobility in a population of prisoner’s dilemma players. Phys. Rev. E 79(6), 067101 (2009)

    Article  Google Scholar 

  12. Ren, Y., et al.: Neighbor-considered migration facilitates cooperation in prisoner’s dilemma games. Appl. Math. Comput. 323, 95–105 (2018)

    MathSciNet  MATH  Google Scholar 

  13. Suzuki, S., Akiyama, E.: Reputation and the evolution of cooperation in sizable groups. Proc. R. Soc. B: Biol. Sci. 272(1570), 1373–1377 (2005)

    Article  Google Scholar 

  14. Park, R., Burgess, E.: Introduction to the Science of Sociology. The University of Chicago, Chicago (1921)

    Google Scholar 

  15. Blumer, H.: New Outline of the Principles of Sociology, p. 67121. Barnes and Nobel, New York (1951)

    Google Scholar 

  16. Gordon, D.M.: The ecology of collective behavior. PLoS Biol. 12(3) (2014)

    Google Scholar 

  17. England: Refugee Council London. Who’s who: Definitions, 9 (2015). An optional note

    Google Scholar 

  18. Di Giovanni, J., Levchenko, A.A., Ortega, F.: A global view of cross-border migration. J. Eur. Econ. Assoc. 13(1), 168–202 (2015)

    Article  Google Scholar 

  19. Ahmed, S.A., Go Delfin S., Dirk, W.: Global migration revisited: short-term pains, long-term gains, and the potential of south-south migration. The World Bank (2016)

    Google Scholar 

  20. Card, D., Dustmann, C., Preston, I.: Immigration, wages, and compositional amenities. J. Eur. Econ. Assoc. 10(1), 78–119 (2012)

    Article  Google Scholar 

  21. Van den Berg, H., Bodvarsson, Ö.B.: The Economics of Immigration: Theory and Policy. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-540-77796-0

    Book  Google Scholar 

  22. Rogers, T., McKane, A.J.: A unified framework for Schelling’s model of segregation. J. Stat. Mech.: Theory Exp. 2011(07) (2011). Article no. P07006

    Google Scholar 

  23. Chiong, R., Kirley, M.: Random mobility and the evolution of cooperation in spatial n-player iterated prisoner’s dilemma games. Phys. A 391(15), 3915–3923 (2012)

    Article  Google Scholar 

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Correspondence to Jiawei Li .

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5 Appendix

5 Appendix

  • Always Defect (AllD) Defect on every move.

  • Always Cooperate (AllC) Cooperate on every move.

  • Collective Strategy (CS) Cooperate with kin members and defect against non-kin members.

  • Always Cooperate with Move (AllCM) Cooperate on every move. If there exist kin members in neighborhood, then stay, else randomly move to one of eight neighboring empty places.

  • Always Defect with Move (AllDM) Defect on every move. If there exist kin members in neighborhood, then stay, else randomly move to one of eight neighboring empty places.

  • Collective Strategy with Move (CSM) Cooperate with kin members and defect against non-kin members. If there exist kin members in neighborhood, then stay, else randomly move to one of eight neighboring empty places.

  • Collective Strategy with Move (CSM2) Cooperate with kin members and defect against non-kin members. If there exist more than 1 kin members in neighborhood, then stay, else randomly move to one of eight neighboring empty places.

  • Collective Strategy with Move (CSM3) Cooperate with kin members and defect against non-kin members. If there exist more than 2 kin members in neighborhood, then stay, else randomly move to one of eight neighboring empty places.

  • Collective Strategy with Move (CSM4) Cooperate with kin members and defect against non-kin members. If there exist more than 3 kin members in neighborhood, then stay, else randomly move to one of eight neighboring empty places.

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Lin, B. et al. (2020). Simulating Collective Behavior in the Movement of Immigrants by Using a Spatial Prisoner’s Dilemma with Move Option. In: Pan, L., Liang, J., Qu, B. (eds) Bio-inspired Computing: Theories and Applications. BIC-TA 2019. Communications in Computer and Information Science, vol 1160. Springer, Singapore. https://doi.org/10.1007/978-981-15-3415-7_9

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  • DOI: https://doi.org/10.1007/978-981-15-3415-7_9

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-3414-0

  • Online ISBN: 978-981-15-3415-7

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