| Abstract |
Article Information:
Reduced Population Viscosity in Spatially Disordered, Triple Strategy Prisoner’s Dilemma Games
K.A. Pimbblet
Corresponding Author: Kevin Pimbblet
Key words: Emergent behaviour, game theory, population dynamics, , , , Vol. 3 , (3): 177-122 |
| Submitted |
Accepted |
Published |
| 2011 July, 20 |
2011 September, 07 |
2011 September, 25 |
Altruism in selfish groups of individuals has been explained using game theory. In this work,
cooperation within a spatial evolutionary prisoner’s dilemma game is studied with three strategies: cooperation,
defection or Tit-for-Tat. By imposing the condition of a site diluted lattice and relaxing the condition of strong
population viscosity, the emergence of cooperating and defecting island universes is observed. Under a softer
condition of movement such that players may move to a lattice site of at least equal payoff we find that these
defecting islands become inherently unstable and dissociate to invade the rest of the system. This subsequently
leads to a re-emergence of cooperation in the entire system as the Tit-for-Tat strategies knockout any rampant
unconditional defection strategies. These results are interpreted suggestively in the context of biology and
sociology. |
Cite this Reference:
K.A. Pimbblet, 2011. Reduced Population Viscosity in Spatially Disordered, Triple Strategy Prisoner’s Dilemma Games.
Research Journal of Mathematics and Statistics, 3(3): 177-122. |
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ISSN (Online): 2040-7505
ISSN (Print): 2042-2024 |
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