Strategy dependent learning activity in cyclic dominant systems
arXiv:2006.01878 · doi:10.1016/j.chaos.2020.109935
Abstract
The prototype of a cyclic dominant system is the so-called rock-scissors-paper game, but similar relation among competing strategies can be identified in several other models of evolutionary game theory. In this work we assume that a specific strategy from the available set is reluctant to adopt alternative states, hence the related learning activity is reduced no matter which other strategy is considered for adoption. Paradoxically, this modification of the basic model will primarily elevate the stationary fraction of another strategy who is the virtual predator of the one with reduced learning activity. This general reaction of the studied systems is in agreement with our understanding about Lotka-Volterra type cyclic dominant systems where lowering the invasion rate between a source and target species promotes the growth of former population. The observed effect is highly non-linear because the effective invasion rates between strategies may depend sensitively on the details of the actual model.
9 two-column pages, 7 figures, accepted for publication in Chaos, Solitons and Fractals
References in corpus (17)
- Cyclic dominance in evolutionary games: A review
- Competition of tolerant strategies in the spatial public goods game
- Oscillatory Dynamics in Rock-Paper-Scissors Games with Mutations
- Alliance formation with exclusion in the spatial public goods game
- Dynamically generated cyclic dominance in spatial prisoner's dilemma games
- Coexistence and Survival in Conservative Lotka-Volterra Networks
- Evolutionary dynamics of group cooperation with asymmetrical environmental feedback
- A novel route to cyclic dominance in voluntary social dilemmas
- Self-organizing patterns maintained by competing associations in a six-species predator-prey model
- Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies
- Gradual learning supports cooperation in spatial prisoner's dilemma game
- Costly hide and seek pays: Unexpected consequences of deceit in a social dilemma
- From pairwise to group interactions in games of cyclic dominance
- 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
- Dynamically generated hierarchies in games of competition
- Risk and interaction aversion: screening mechanisms in the Prisoner's Dilemma game