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The impact of time-weighted historical payoffs on evolution dynamics of strategies
Han, Yanyan; Li, Minlan; Song, Xuemeng; Han, Jia-Xu; Zhang, Feng2; Wang, Rui-Wu
2025
Source PublicationCHAOS SOLITONS & FRACTALS
ISSN0960-0779
Volume201Pages:-
AbstractEvolutionary game theory often oversimplifies fitness by equating it with immediate payoffs. This approach neglects biological realities, such as historical payoffs, resource storage, and metabolic transformation. This study addresses this gap by proposing a novel time-weighted fitness framework. This framework integrates these processes through a three-level structure: resource acquisition, cumulative fitness, and instantaneous fitness. This framework incorporates a maximum storable resource amount and three time-weighted modes (equal, decreasing, increasing) to simulate diverse life-history strategies. Analytical and numerical results reveal that time-weighted resource metabolism generates evolutionary dynamics inaccessible to the classical model. Decreasing time-weighting prioritizes early resource gains. This mode can induce persistent oscillations in strategy frequencies and strong path dependence, which aligns with capital breeding strategies. Increasing time-weighting, which amplifies recent resource gains, intensifies selection pressure over time, corresponding to terminal sprint strategies like predormancy hyperphagia. When resources saturate, all dynamics revert to classical forms, signaling a strategic shift from capital accumulation to income competition. This work unifies historical contingency with instantaneous selection. It offers a mechanistic theory for interpreting diverse ecological patterns, from population cycles to life-history transitions.
KeywordFitness Life stage Resource flow Historical payoffs Replicator dynamics equation
Subject AreaMathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
DOI10.1016/j.chaos.2025.117236
Indexed BySCI
Language英语
WOS IDWOS:001585858100001
Citation statistics
Document Type期刊论文
Identifierhttps://ir.xtbg.ac.cn/handle/353005/15603
Collection2012年后新成立研究组
Affiliation1.Northwestern Polytech Univ, Sch Math & Stat, Xian 710072, Peoples R China
2.Zhejiang Univ, Coll Life Sci, Hangzhou 310058, Zhejiang, Peoples R China
3.Chinese Acad Sci, Yunnan Key Lab Forest Ecosyst Stabil & Global Chan, Xishuangbanna Trop Bot Garden, Mengla 666303, Yunnan, Peoples R China
4.Northwestern Polytech Univ, Sch Ecol & Environm, Xian 710072, Peoples R China
Recommended Citation
GB/T 7714
Han, Yanyan,Li, Minlan,Song, Xuemeng,et al. The impact of time-weighted historical payoffs on evolution dynamics of strategies[J]. CHAOS SOLITONS & FRACTALS,2025,201:-.
APA Han, Yanyan,Li, Minlan,Song, Xuemeng,Han, Jia-Xu,Zhang, Feng,&Wang, Rui-Wu.(2025).The impact of time-weighted historical payoffs on evolution dynamics of strategies.CHAOS SOLITONS & FRACTALS,201,-.
MLA Han, Yanyan,et al."The impact of time-weighted historical payoffs on evolution dynamics of strategies".CHAOS SOLITONS & FRACTALS 201(2025):-.
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