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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

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  • 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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