Neighborhood size effects on the evolution of cooperation under myopic dynamics

2021 ◽  
Vol 31 (12) ◽  
pp. 123113
Author(s):  
Juan Shi ◽  
Jinzhuo Liu ◽  
Matjaž Perc ◽  
Zhenghong Deng ◽  
Zhen Wang
Keyword(s):  
Size Effects ◽  
Evolution Of Cooperation ◽  
Neighborhood Size

scholarly journals The evolution of cooperation is affected by the persistence of fitness effects, the neighborhood size and their interaction

2015 ◽  
Vol 2 (1) ◽  
pp. 67-78 ◽  
Author(s):  
Eli Thompson ◽  
Jasmine Everett ◽  
Jonathan T. Rowell ◽  
Jan Rychtář ◽  
Olav Rueppell
Keyword(s):  
Evolution Of Cooperation ◽  
Neighborhood Size ◽  
Fitness Effects

scholarly journals Neighborhood size-effects in nonlinear public goods games

2018 ◽  
Author(s):  
Gregory J. Kimmel ◽  
Philip Gerlee ◽  
Joel S. Brown ◽  
Philipp M. Altrock
Keyword(s):  
Public Goods ◽  
Public Good ◽  
Size Effects ◽  
Evolutionary Dynamics ◽  
Logistic Growth ◽  
Neighborhood Size ◽  
Frequency Dependent ◽  
Frequency Dependent Selection ◽  
The Public ◽  
Public Goods Games

Ecological and evolutionary dynamics can be strongly affected by population assortment and frequency-dependent selection. In growing populations, a particular challenge is to disentangle global ecological effects from local frequency-dependent effects. Here we implement a logistic growth and death model on the global scale, coupled to frequency-dependent growth rates influenced by a public goods game between cooperators and defectors. For each individual, the public good is only effective within a neighborhood of other individuals, and the public good-growth rate relationship can be nonlinear. At low numbers of cooperators, increases of public good accumulate synergistically; at high numbers, increases in public good only provide diminishing returns-the inflection point of this pattern is given by the strength of frequency-dependent selection in relation to the background fitness effect. We observed complex critical behavior in the evolutionary dynamics’ equilibria, determined by the relative magnitude of frequency-dependent to constant (background) growth benefits. We predict neighborhood-size-driven state changes, hysteresis between polymorphic and monomorphic equilibria, and observed that type-dependent differences in neighborhood sizes can destabilize monomorphic cooperative states but increase coexistence of cooperators and defectors. Stochastic neighborhood size fluctuations also led to coexistence and could stabilize the purely cooperative equilibrium. Our results quantify the role of assortment through neighborhood-size effects and nonlinearity of the gains function in eco-evolutionary dynamics, which is relevant for a variety of microbial and cellular public goods games.

scholarly journals Group size effects in social evolution

2018 ◽  
Author(s):  
Jorge Peña ◽  
Georg Nöldeke
Keyword(s):  
Group Size ◽  
Size Effects ◽  
Evolutionary Biology ◽  
Social Evolution ◽  
Evolutionary Dynamics ◽  
Replicator Dynamics ◽  
Basin Of Attraction ◽  
Evolution Of Cooperation ◽  
Positive Effects ◽  
Public Goods Games

AbstractHow the size of social groups affects the evolution of cooperative behaviors is a classic question in evolutionary biology. Here we investigate group size effects in the evolutionary dynamics of games in which individuals choose whether to cooperate or defect and payoffs do not depend directly on the size of the group. We find that increasing the group size decreases the proportion of cooperators at both stable and unstable rest points of the replicator dynamics. This implies that larger group sizes can have negative effects (by reducing the amount of cooperation at stable polymorphisms) and positive effects (by enlarging the basin of attraction of more cooperative outcomes) on the evolution of cooperation. These two effects can be simultaneously present in games whose evolutionary dynamics feature both stable and unstable rest points, such as public goods games with participation thresholds. Our theory recovers and generalizes previous results and is applicable to a broad variety of social interactions that have been studied in the literature.

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