Prisoner's Dilemma in One-Dimensional Cellular Automata: Visualization of Evolutionary Patterns

• DOI: 10.48550/arxiv.0708.3520
• Publication Date: 2007-01-01
• Authors: Marcelo Alves Per...; Alexandre Souto M...; Aquino L. Espíndola
• Keywords: Lattice (music)

The spatial Prisoner's Dilemma is a prototype model to show the emergence of cooperation in very competitive environments. It considers players, at site lattices, that can either cooperate or defect when playing with other z players. This presents rich phase diagram. Here we consider players cells one-dimensional cellular automata. Each player interacts geometry allows us vary, simple manner, number neighbors ranging from one up lattice size, including self-interaction. approach has multiple advantages. implement numerically and are able retrieve all previous results found previously considered faster convergence stationary values. More remarkable, it permits keep track spatio-temporal evolution each automaton. Giving rise interesting patterns. These patterns allow interpretation cooperation/defection clusters as particles, which be absorbed collided among themselves. presented represents new paradigm study maintenance Dilemma.