The dynamic edge environment under interactive diversity is a double-edged sword

Zhu, Xiaochen

doi:10.1016/j.amc.2022.127505

Cited by 2 publications

(8 citation statements)

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“… 2023 ; Lu et al. 2023 ; Zhu 2023 ). Lastly, through the use of bimatrix payoffs, which are equivalent to the complete bipartite graph as population structure in the case of symmetric payoff matrices, periodic orbits in the state space have been proven to exist (Gong et al.…”

Section: Introductionmentioning

confidence: 99%

“… 2023 ; Lu et al. 2023 ; Zhu 2023 ). However, it may be more realistic to assume that the environment is shared across some, but not all, players (Fahimipour et al.…”

Section: Introductionmentioning

confidence: 99%

“…Other eco-evolutionary game models assume network structure and assign a local environmental variable to each edge between a pair of players (He et al. 2023 ; Zhu 2023 ).…”

Section: Introductionmentioning

confidence: 99%

“…Next, we assume that the state of the environment depends on the type of edge in the network, similarly to He et al. ( 2023 ) and Zhu ( 2023 ). We crucially assign one environmental variable to each type of edge, i.e., the edges within the first community, those within the second community, and those connecting the two communities.…”

Section: Introductionmentioning

confidence: 99%

“…Unlike the previous studies similarly assuming edge-dependent environmental states (He et al. 2023 ; Zhu 2023 ), our two-community network model, which is a minimal network model, allows analytical investigations.…”

Section: Introductionmentioning

confidence: 99%

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Evolutionary Game Dynamics with Environmental Feedback in a Network with Two Communities

Betz,

Fu,

Masuda

2024

Bull Math Biol

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Recent developments of eco-evolutionary models have shown that evolving feedbacks between behavioral strategies and the environment of game interactions, leading to changes in the underlying payoff matrix, can impact the underlying population dynamics in various manners. We propose and analyze an eco-evolutionary game dynamics model on a network with two communities such that players interact with other players in the same community and those in the opposite community at different rates. In our model, we consider two-person matrix games with pairwise interactions occurring on individual edges and assume that the environmental state depends on edges rather than on nodes or being globally shared in the population. We analytically determine the equilibria and their stability under a symmetric population structure assumption, and we also numerically study the replicator dynamics of the general model. The model shows rich dynamical behavior, such as multiple transcritical bifurcations, multistability, and anti-synchronous oscillations. Our work offers insights into understanding how the presence of community structure impacts the eco-evolutionary dynamics within and between niches.

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Section: Introductionmentioning

confidence: 99%

“… 2023 ; Lu et al. 2023 ; Zhu 2023 ). However, it may be more realistic to assume that the environment is shared across some, but not all, players (Fahimipour et al.…”

Section: Introductionmentioning

confidence: 99%

“…Other eco-evolutionary game models assume network structure and assign a local environmental variable to each edge between a pair of players (He et al. 2023 ; Zhu 2023 ).…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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