Transitive to cyclic dominance in eco-evolutionary dynamics of strategic species

Eco-evolutionary game dynamics explores the intricate interplay between ecological processes and evolutionary strategies. Here we unveil various transition mechanisms from transitive dominance to cyclic dominance within ecological communities, using evolutionary game theory to model strategic interactions among species. Specifically, we choose a multigame framework that incorporates games that exhibit transitive and cyclic dominance. By integrating appropriate models for transitive dominance and cyclic dominance, and through rigorous numerical simulations and analytical approaches, we explore evolutionary game dynamics under varying conditions. We show that, under specific conditions, communities can change from a linear hierarchy, or transitive dominance, to a cyclical structure, or cyclic dominance, which significantly affects ecosystem community structures. We also show that not only game-independent factors, but also intrinsic game parameters can drive a transition from transitive dominance to cyclic dominance. More precisely, we show how changes in the probability of game selection can lead to this transition. Moreover, we demonstrate that even benefits arising from free space can facilitate the shift from transitive to cyclic dominance. Our study thus explores the mechanisms that drive transitions between these dominance patterns and, in so doing, we underscore the importance of multiple game dynamics for accurately describing the intricacies of natural ecosystems.