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Mathematical Biosciences and Engineering

2013, Volume 10, Issue 5&6: 1381-1398. doi: 10.3934/mbe.2013.10.1381
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Prisoner's Dilemma on real social networks: Revisited

  • 1.
    East Tennessee State University, Department of Mathematics and Statistics, Box 70663, Johnson City, TN 37614-1701
  • 2.
    East Tennessee State University, Department of Mathematics and Statistics, Institute for Quantitative Biology, Box 70663, Johnson City, TN 37614-1701
  • Received: 01 August 2012 Accepted: 29 June 2018 Published: 01 August 2013

  • MSC : Primary: 91A40; Secondary: 91D30.

  • Prisoner's Dilemma is a game theory model used to describe altruistic behavior seen in various populations. Thistheoretical game is important in understanding why a seemingly selfish strategy does persist and spread throughout apopulation that is mixing homogeneously at random. For a population with structuredetermined by social interactions,Prisoner's Dilemma brings to light certain requirements for the altruistic strategy to become established.Monte Carlo simulations of Prisoner's Dilemma are carried out using both simulated social networks and a datasetof a real social network. In both scenarios we confirm the requirements for the persistenceof altruism in a population.

    Citation: Sharon M. Cameron, Ariel Cintrón-Arias. Prisoner's Dilemma on real social networks: Revisited[J]. Mathematical Biosciences and Engineering, 2013, 10(5&6): 1381-1398. doi: 10.3934/mbe.2013.10.1381

    Related Papers:

  • Prisoner's Dilemma is a game theory model used to describe altruistic behavior seen in various populations. Thistheoretical game is important in understanding why a seemingly selfish strategy does persist and spread throughout apopulation that is mixing homogeneously at random. For a population with structuredetermined by social interactions,Prisoner's Dilemma brings to light certain requirements for the altruistic strategy to become established.Monte Carlo simulations of Prisoner's Dilemma are carried out using both simulated social networks and a datasetof a real social network. In both scenarios we confirm the requirements for the persistenceof altruism in a population.


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    [1] Phys. Rev. E, 63 (2001), 030901.
    [2] Int. J. Mod. Phys. C, 11 (2000), 1539-1544.
    [3] Revised Edition, Basic Books, New York, 2006.
    [4] P. Natl. Acad. Sci. USA, 100 (2003), 10564-10567.
    [5] J. Computer-Mediated Comm., 13 (2008), 210-230.
    [6] Game Econ. Behav., 58 (2007), 209-230.
    [7] Phys. Rev. E, 77 (2008), 032103.
    [8] Phys. Rev. E, 77 (2008), 017103.
    [9] J. Theor. Biol., 302 (2012), 18-28.
    [10] Physica A, 389 (2010), 5173-5181.
    [11] Commun. Theor. Phys., 54 (2010), 578-582.
    [12] Chinese Phys. Lett., 26 (2009), 058701.
    [13] Cambridge University Press, Cambridge, 2007.
    [14] Cambridge University Press, New York, 2010.
    [15] Am. J. Sociol., 110 (2005), 977-1008.
    [16] Eur. Phys. J. B, 56 (2007), 367-372.
    [17] Am. J. Sociol., 78 (1973), 1360-1380.
    [18] Chinese Phys. Lett., 23 (2006), 2874-2877.
    [19] Am. J. Phys., 73 (2005), 405-414.
    [20] J. Theor. Biol., 299 (2012), 106-112.
    [21] Phys. Rev. E, 66 (2002), 021907.
    [22] Social Networks, 30 (2008), 330-342.
    [23] P. Natl. Acad. Sci. USA, 109 (2006), 3490-3494.
    [24] Phys. Lett. A, 313 (2003), 55-61.
    [25] J. Public Econom., 92 (2008), 328-347.
    [26] Cambridge University Press, Cambridge, 1982.
    [27] Psychol. Today, 2 (1967), 60-67.
    [28] Proc. Natl. Acad. Sci. USA, 36 (1950), 48-49.
    [29] Oxford University Press, Oxford, 2010.
    [30] Nature, 359 (1992), 826-829.
    [31] Harvard University Press, Cambridge, 2006.
    [32] Free Press, New York, 2012.
    [33] Nature, 441 (2006), 502-505.
    [34] New J. Phys., 8 (2006), 183.
    [35] BMC Public Health, 11, Suppl. 1, 25 February, 2011.
    [36] Phys. Rev. E, 69 (2004), 036107.
    [37] Eur. Phys. J. B, 53 (2006), 411-415.
    [38] Soc. Networks, 26 (2004), 309-321.
    [39] Complexity, 12 (2007), 22-36.
    [40] SIAM Rev., 53 (2011), 526-543.
    [41] Physica A, 391 (2012), 4165-4180.
    [42] Princeton University Press, Princeton, NJ, 1944.
    [43] Nature, 393 (1998), 440-442.
    [44] Princeton University Press, Princeton, NJ, 1999.
    [45] Nature, 308 (1984), 181-184.
    [46] Phys. Rev. E, 71 (2005), 037103.
    [47] Chinese Phys. Lett., 23 (2006), 531-534.
    [48] EPL-Europhys. Lett., 92 (2010), 40009.
    [49] Europhys. Lett., 76 (2006), 724-730.
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  • © 2013 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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