Cyclic dominance in evolutionary games: A review
arXiv:1408.6828 · doi:10.1098/rsif.2014.0735
Abstract
Rock is wrapped by paper, paper is cut by scissors, and scissors are crushed by rock. This simple game is popular among children and adults to decide on trivial disputes that have no obvious winner, but cyclic dominance is also at the heart of predator-prey interactions, the mating strategy of side-blotched lizards, the overgrowth of marine sessile organisms, and the competition in microbial populations. Cyclical interactions also emerge spontaneously in evolutionary games entailing volunteering, reward, punishment, and in fact are common when the competing strategies are three or more regardless of the particularities of the game. Here we review recent advances on the rock-paper-scissors and related evolutionary games, focusing in particular on pattern formation, the impact of mobility, and the spontaneous emergence of cyclic dominance. We also review mean-field and zero-dimensional rock-paper-scissors models and the application of the complex Ginzburg-Landau equation, and we highlight the importance and usefulness of statistical physics for the successful study of large-scale ecological systems. Directions for future research, related for example to dynamical effects of coevolutionary rules and invasion reversals due to multi-point interactions, are outlined as well.
21 two-column pages, 16 figures; accepted for publication in Journal of the Royal Society Interface
References in corpus (44)
- Evolutionary games on graphs
- Evolutionary dynamics of group interactions on structured populations: A review
- Social diversity and promotion of cooperation in the spatial prisoner's dilemma game
- Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
- Reward and cooperation in the spatial public goods game
- Coevolutionary Dynamics: From Finite to Infinite Populations
- Phase diagrams for the spatial public goods game with pool-punishment
- Evolutionary establishment of moral and double moral standards through spatial interactions
- Resolving social dilemmas on evolving random networks
- Does mobility decrease cooperation?
- Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model
- Self-organization of punishment in structured populations
- Defense mechanisms of empathetic players in the spatial ultimatum game
- Impact of aging on the evolution of cooperation in the spatial prisoner's dilemma game
- Evolutionary advantages of adaptive rewarding
- Emergence of multilevel selection in the prisoner's dilemma game on coevolving random networks
- Self-Organization of Mobile Populations in Cyclic Competition
- Noise and Correlations in a Spatial Population Model with Cyclic Competition
- Random mobility and spatial structure often enhance cooperation
- Oscillatory Dynamics in Rock-Paper-Scissors Games with Mutations
- Zero-one survival behavior of cyclically competing species
- Phase diagrams for three-strategy evolutionary prisoner's dilemma games on regular graphs
- Instability of spatial patterns and its ambiguous impact on species diversity
- Spatial Rock-Paper-Scissors Models with Inhomogeneous Reaction Rates
- Noise-guided evolution within cyclical interactions
- Junctions and spiral patterns in Rock-Paper-Scissors type models
- Dynamically generated cyclic dominance in spatial prisoner's dilemma games
- Coexistence and Survival in Conservative Lotka-Volterra Networks
- Fluctuations and Correlations in Lattice Models for Predator-Prey Interaction
- Effects of competition on pattern formation in the rock-paper-scissors game
- Self-organizing patterns maintained by competing associations in a six-species predator-prey model
- Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species
- Intransitivity and coexistence in four species cyclic games
- Interplay between partnership formation and competition in generalized May-Leonard games
- Emergence of target waves in paced populations of cyclically competing species
- Cyclic competition of four species: mean field theory and stochastic evolution
- A tree without leaves
- Heterogeneity in connectivity of habitat networks saves stable coexistence of competing species
- Four-state rock-paper-scissors games on constrained Newman-Watts networks
- Stability and robustness analysis of cooperation cycles driven by destructive agents in finite populations
- Emergence of synchronization induced by the interplay between two prisoner's dilemma games with volunteering in small-world networks
- Three-fold way to extinction in populations of cyclically competing species
- Evolutionary games on minimally structured populations
- Oscillations and patterns in interacting populations of two species