Evolutionary Prisoner's Dilemma game on the Newman-Watts networks
arXiv:0709.0316 · doi:10.1103/PhysRevE.77.026109
Abstract
Maintenance of cooperation was studied for a two-strategy evolutionary Prisoner's Dilemma game where the players are located on a one-dimensional chain and their payoff comes from games with the nearest and next-nearest neighbor interactions. The applied host geometry makes possible to study the impacts of two conflicting topological features. The evolutionary rule involves some noise affecting the strategy adoptions between the interacting players. Using Monte Carlo simulations and the extended versions of dynamical mean-field theory we determined the phase diagram as a function of noise level and a payoff parameter. The peculiar feature of the diagram is changed significantly when the connectivity structure is extended by extra links as suggested by Newman and Watts.
4 figures
References in corpus (16)
- Evolutionary games on graphs
- Evolutionary prisoner's dilemma game on a square lattice
- Renormalization group analysis of the small-world network model
- Social diversity and promotion of cooperation in the spatial prisoner's dilemma game
- Social games in a social network
- Phase diagrams for Prisoner's Dilemma game on two-dimensional lattices
- Cooperation in noisy case: prisoner's dilemma game on two types of regular random graphs
- Co-evolutionary games on networks
- Dynamic instabilities induced by asymmetric influence: Prisoners' dilemma game on small-world networks
- Spatial prisoner's dilemma optimally played in small-world networks
- Spatial prisoner's dilemma game with volunteering in Newman-Watts small-world networks
- Evolutionary Prisoner's Dilemma on heterogeneous Newman-Watts small-world network
- Randomness enhances cooperation: a resonance type phenomenon in evolutionary games
- Effects of inhomogeneous activity of players and noise on cooperation in spatial public goods games
- Promotion of cooperation induced by nonlinear attractive effect in spatial Prisoner's Dilemma game
- Stochastic gain in population dynamics
Cited by in corpus (20)
- Effects of mobility in a population of Prisoner's Dilemma players
- Degree mixing in multilayer networks impedes the evolution of cooperation
- Promoting cooperation in social dilemmas via simple coevolutionary rules
- Restricted connections among distinguished players support cooperation
- Learning and innovative elements of strategy adoption rules expand cooperative network topologies
- Does strong heterogeneity promote cooperation by group interactions?
- Selection of noise level in strategy adoption for spatial social dilemmas
- Effect of memory on the prisoner's dilemma game in a square lattice
- Effects of strategy-migration direction and noise in the evolutionary spatial prisoner's dilemma
- Adaptive and bounded investment returns promote cooperation in spatial public goods games
- Evolution of interactions and cooperation in the spatial prisoner's dilemma game
- Cooperation in the Prisoner's Dilemma game in Random Scale-Free Graphs
- Random Topologies and the emergence of cooperation: the role of short-cuts
- Evolutionary hypergame dynamics
- Predicting transitions in cooperation levels from network connectivity
- Cipolla' s game: playing under the laws of human stupidity
- A probabilistic cellular automata model for the dynamics of a population driven by logistic growth and weak Allee effect
- The destructive effect of human stupidty: a revision of Cipolla's Fundamental Laws
- Effects of dimers on cooperation in the spatial prisoner's dilemma game
- Emergence of Network Bifurcation Triggered by Entanglement