Spatial structure favors cooperative behavior in the snowdrift game with multiple interactive dynamics

2017 ◽  
Vol 468 ◽  
pp. 299-306 ◽  
Author(s):  
Qi Su ◽  
Aming Li ◽  
Long Wang
2019 ◽  
Vol 73 (1) ◽  
pp. 293-312 ◽  
Author(s):  
Jinyuan Yan ◽  
Hilary Monaco ◽  
Joao B. Xavier

Cooperation has fascinated biologists since Darwin. How did cooperative behaviors evolve despite the fitness cost to the cooperator? Bacteria have cooperative behaviors that make excellent models to take on this age-old problem from both proximate (molecular) and ultimate (evolutionary) angles. We delve into Pseudomonas aeruginosa swarming, a phenomenon where billions of bacteria move cooperatively across distances of centimeters in a matter of a few hours. Experiments with swarming have unveiled a strategy called metabolic prudence that stabilizes cooperation, have showed the importance of spatial structure, and have revealed a regulatory network that integrates environmental stimuli and direct cooperative behavior, similar to a machine learning algorithm. The study of swarming elucidates more than proximate mechanisms: It exposes ultimate mechanisms valid to all scales, from cells in cancerous tumors to animals in large communities.


Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Brian McLoone ◽  
Wai-Tong Louis Fan ◽  
Adam Pham ◽  
Rory Smead ◽  
Laurence Loewe

The Snowdrift Game, also known as the Hawk-Dove Game, is a social dilemma in which an individual can participate (cooperate) or not (defect) in producing a public good. It is relevant to a number of collective action problems in biology. In a population of individuals playing this game, traditional evolutionary models, in which the dynamics are continuous and deterministic, predict a stable, interior equilibrium frequency of cooperators. Here, we examine how finite population size and multilevel selection affect the evolution of cooperation in this game using a two-level Moran process, which involves discrete, stochastic dynamics. Our analysis has two main results. First, we find that multilevel selection in this model can yield significantly higher levels of cooperation than one finds in traditional models. Second, we identify a threshold effect for the payoff matrix in the Snowdrift Game, such that below (above) a determinate cost-to-benefit ratio, cooperation will almost surely fix (go extinct) in the population. This second result calls into question the explanatory reach of traditional continuous models and suggests a possible alternative explanation for high levels of cooperative behavior in nature.


2013 ◽  
Vol 86 (4) ◽  
Author(s):  
Ping-Ping Li ◽  
Jianhong Ke ◽  
Luo-Luo Jiang ◽  
Xian-Zhang Yuan ◽  
Zhenquan Lin

2011 ◽  
Vol 84 (2) ◽  
pp. 025802 ◽  
Author(s):  
C Y Xia ◽  
J Zhao ◽  
J Wang ◽  
Y L Wang ◽  
H Zhang

Nature ◽  
2004 ◽  
Vol 428 (6983) ◽  
pp. 643-646 ◽  
Author(s):  
Christoph Hauert ◽  
Michael Doebeli

2009 ◽  
Vol 20 (05) ◽  
pp. 701-710 ◽  
Author(s):  
WEN-BO DU ◽  
XIAN-BIN CAO ◽  
HAO-RAN ZHENG ◽  
HONG ZHOU ◽  
MAO-BIN HU

Much empirical evidence has shown realistic networks are weighted. Compared with those on unweighted networks, the dynamics on weighted network often exhibit distinctly different phenomena. In this paper, we investigate the evolutionary game dynamics (prisoner's dilemma game and snowdrift game) on a weighted social network consisted of rational agents and focus on the evolution of cooperation in the system. Simulation results show that the cooperation level is strongly affected by the weighted nature of the network. Moreover, the variation of time series has also been investigated. Our work may be helpful in understanding the cooperative behavior in the social systems.


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