In this paper we study the influence of interventions on self-interactions in a spatial Prisoner's Dilemma on a two-dimensional grid with periodic boundary conditions and synchronous updating of the dynamics. We investigate two different types of self-interaction modifications. The first type (FSIP) is deterministic, effecting each self-interaction of a player by a constant factor, whereas the second type (PSIP) performs a probabilistic interventions. Both types of interventions lead to a reduction of the payoff of the players and, hence, represent inhibiting effects. We find that a constant but moderate reduction of self-interactions has a very beneficial effect on the evolution of cooperators in the population, whereas probabilistic interventions on self-interactions are in general counter productive for the coexistence of the two different strategies.
ASJC Scopus subject areas
- Applied Mathematics
- Computational Mathematics
Emmert-Streib, F. (2012). Evolutionary dynamics of the spatial Prisoner's Dilemma with self-inhibition. Applied Mathematics and Computation, 218(11), 6482-6488. https://doi.org/10.1016/j.amc.2011.12.018