Evolutionary dynamics of the spatial Prisoner’s Dilemma with self-inhibition |
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Authors: | Frank Emmert-Streib |
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Institution: | Computational Biology and Machine Learning Lab, Center for Cancer Research and Cell Biology, School of Medicine, Dentistry and Biomedical Sciences, Queen’s University Belfast, 97 Lisburn Road, Belfast BT9 7BL, UK |
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Abstract: | 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. |
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Keywords: | Evolutionary dynamics Evolutionary game theory Game theory Prisoner&rsquo s dilemma |
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