When faster rotation is harmful: the competition of alliances with inner blocking mechanism
arXiv:2403.14590 · doi:10.1103/PhysRevResearch.6.023087
Abstract
Competitors in an intransitive loop of dominance can form a defensive alliance against an external species. The vitality of this super-structure, however, is jeopardized if we modify the original rock-scissors-paper-like rule and allow that the vicinity of a predator blocks stochastically the invasion success of its neighboring prey towards a third actor. To explore the potential consequences of this multi-point interaction we introduce a minimal model where two three-member alliances are fighting but one of them suffers from this inner blocking mechanism. We demonstrate that this weakness can be compensated by a faster inner rotation which is in agreement with previous findings. This broadly valid principle, however, is not always true here because the increase of rotation speed could be harmful and results in series of reentrant phase transitions on the parameter plane. This unexpected behavior can be explained by the relation of the blocked triplet and a neutral pair formed by a triplet member with an external species. Our results provide novel aspects to the fundamental laws which determine the evolutionary process in multi-strategy ecological systems.
arXiv comment18 pages, 7 figures, accepted for publication in Physical Review Research
References in corpus (34)
- Evolutionary dynamics of higher-order interactions in social networks
- Cyclic dominance in evolutionary games: A review
- Competition of individual and institutional punishments in spatial public goods games
- Competition of tolerant strategies in the spatial public goods game
- Stochastic population dynamics in spatially extended predator-prey systems
- Cyclical interactions with alliance-specific heterogeneous invasion rates
- Benefits of tolerance in public goods games
- Competition and partnership between conformity and payoff-based imitations in social dilemmas
- Pattern formations driven by cyclic interactions: a brief review of recent developments
- Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers
- Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies
- Competing associations in six-species predator-prey models
- Gradual learning supports cooperation in spatial prisoner's dilemma game
- Segregation process and phase transition in cyclic predator-prey models with even number of species
- Predominance of the weakest species in Lotka-Volterra and May-Leonard implementations of the rock-paper-scissors model
- Supporting punishment via taxation in a structured population
- Cooperation and competition between pair and multi-player social games in spatial populations
- Spatial patterns and biodiversity in off-lattice simulations of a cyclic three-species Lotka-Volterra model
- A theoretical approach to understand spatial organization in complex ecologies
- The Influence of Mobility Rate on Spiral Waves in Spatial Rock-Paper-Scissors Games
- The effect of habitats and fitness on species coexistence in systems with cyclic dominance
- Labyrinthine clustering in a spatial rock-paper-scissors ecosystem
- Non-Hermitian topology in rock-paper-scissors games
- Dynamically generated hierarchies in games of competition
- Competition of alliances in a cyclically dominant eight-species population
- Coevolutionary dynamics of a variant of the cyclic Lotka-Volterra model with three-agent interactions
- Risk and interaction aversion: screening mechanisms in the Prisoner's Dilemma game
- Weak species in rock-paper-scissors models
- How multiple weak species jeopardise biodiversity in spatial rock-paper-scissors models
- Emerging solutions from the battle of defensive alliances
- Stabilizing spiral structures in the asymmetric May-Leonard model
- Oppressed species can form a winning pair in a multi-species ecosystem
- Competition among alliances of different sizes
- Role of predator-prey reversal in Rock-Paper-Scissors models