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Prisoner’s dilemma game on complex networks with a death process: Effects of minimum requirements and immigration

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  • Jeong, Wonhee
  • Yu, Unjong

Abstract

We present results of the prisoner’s dilemma game on complex networks that have population change. We introduce a death process with minimum requirements and show that it induces a highly cooperative society. We also study the effects of immigration on the society. We show that the acceptable number of immigrants of the society is determined by the population of the society, the ratio of cooperator among immigrants, and the immigration interval. In addition, if immigrants have a preferential attachment link, the acceptable number of immigrants increases.

Suggested Citation

  • Jeong, Wonhee & Yu, Unjong, 2019. "Prisoner’s dilemma game on complex networks with a death process: Effects of minimum requirements and immigration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 47-52.
  • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:47-52
    DOI: 10.1016/j.physa.2018.10.039
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    1. Claudia Goldin, 1994. "The Political Economy of Immigration Restriction in the United States, 1890 to 1921," NBER Chapters, in: The Regulated Economy: A Historical Approach to Political Economy, pages 223-258, National Bureau of Economic Research, Inc.
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    3. Bettina Rockenbach & Manfred Milinski, 2006. "The efficient interaction of indirect reciprocity and costly punishment," Nature, Nature, vol. 444(7120), pages 718-723, December.
    4. Jordi Jofre-Monseny & Pilar Sorribas-Navarro & Javier Vázquez-Grenno, 2016. "Immigration and local spending in social services: evidence from a massive immigration wave," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 23(6), pages 1004-1029, December.
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    Cited by:

    1. Hang, Zihua & Dai, Penglin & Jia, Shanshan & Yu, Zhaofei, 2020. "Network structure reconstruction with symmetry constraint," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

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