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Eco-evolutionary Logic of Mutualisms 共生的生态进化逻辑
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-27 DOI: 10.1007/s13235-023-00533-8
Chaitanya S. Gokhale, Marcus Frean, Paul B. Rainey
Abstract Mutualistic interactions among members of different species are common, seemingly stable, and thus apparently enduring. This is at odds with standard mathematical models based solely on between-species interactions, which show mutualisms to be inherently unstable. Models incorporating parameters for punishment and reward strategies demonstrate that the range of conditions over which stability is observed can be extended; however, the role of community-level dynamics impacted by within-species interactions remains relatively unexplored. Here we develop a general and readily applicable approach for analysing a broad range of mutualisms. By incorporating within-species interactions, we show that mutualisms can be stably maintained across diverse environmental conditions without introducing changes to between-species interaction parameters. Further, a balance of within- and between-species interactions is sufficient to allow the persistence of mutualisms encountering ecological perturbations. Our simple and robust framework resonates with emerging empirical data highlighting the role of community-level interactions and population dynamics in maintaining mutualisms.
不同物种成员之间的互惠互动是常见的,看似稳定的,因此显然是持久的。这与仅仅基于物种间相互作用的标准数学模型不一致,后者表明共生关系本质上是不稳定的。包含奖惩策略参数的模型表明,可以扩展观察到稳定性的条件范围;然而,受种内相互作用影响的群落水平动态的作用仍然相对未被探索。在这里,我们开发了一种通用的和易于应用的方法来分析广泛的互惠关系。通过结合种内相互作用,我们表明,在不改变种间相互作用参数的情况下,相互作用可以在不同的环境条件下稳定地维持。此外,物种内部和物种之间的相互作用的平衡足以允许互惠关系在遇到生态扰动时持续存在。我们简单而有力的框架与新兴的经验数据产生了共鸣,这些数据突出了社区层面的互动和人口动态在维持相互关系中的作用。
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引用次数: 1
How Much is a Nonearning Asset with No Current Capital Gains Worth? 没有当前资本收益的非盈利资产值多少钱?
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-27 DOI: 10.1007/s13235-023-00536-5
Stephen Salant, Joshua Keller
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引用次数: 0
Efficiency-Inducing Policy for Polluting Oligopolists 对污染寡头的效率诱导政策
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-21 DOI: 10.1007/s13235-023-00534-7
Guiomar Martín-Herrán, Santiago J. Rubio
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引用次数: 0
Learning to Mitigate Epidemic Risks: A Dynamic Population Game Approach 学习减轻流行病风险:动态人口博弈方法
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-21 DOI: 10.1007/s13235-023-00529-4
Ashish R. Hota, Urmee Maitra, Ezzat Elokda, Saverio Bolognani
Abstract We present a dynamic population game model to capture the behavior of a large population of individuals in presence of an infectious disease or epidemic. Individuals can be in one of five possible infection states at any given time: susceptible, asymptomatic, symptomatic, recovered and unknowingly recovered, and choose whether to opt for vaccination, testing or social activity with a certain degree. We define the evolution of the proportion of agents in each epidemic state, and the notion of best response for agents that maximize long-run discounted expected reward as a function of the current state and policy. We further show the existence of a stationary Nash equilibrium and explore the transient evolution of the disease states and individual behavior under a class of evolutionary learning dynamics. Our results provide compelling insights into how individuals evaluate the trade-off among vaccination, testing and social activity under different parameter regimes, and the impact of different intervention strategies (such as restrictions on social activity) on vaccination and infection prevalence.
摘要:我们提出了一个动态种群博弈模型,以捕捉存在传染病或流行病的大量个体的行为。个体在任何给定时间可处于易感、无症状、有症状、康复和不知情康复五种可能感染状态之一,并可选择是否选择接种疫苗、检测或进行一定程度的社会活动。我们定义了在每种流行病状态下agent比例的演变,以及作为当前状态和策略的函数,最大化长期预期折现奖励的agent的最佳响应概念。我们进一步证明了平稳纳什均衡的存在,并探讨了一类进化学习动力学下疾病状态和个体行为的短暂进化。我们的研究结果为个体如何在不同参数制度下评估疫苗接种、检测和社会活动之间的权衡,以及不同干预策略(如限制社会活动)对疫苗接种和感染流行的影响提供了令人信服的见解。
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引用次数: 1
Correction: Introspection Dynamics in Asymmetric Multiplayer Games 更正:非对称多人游戏中的内省动态
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-17 DOI: 10.1007/s13235-023-00538-3
Marta C. Couto, Saptarshi Pal
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引用次数: 0
Do Small Players Undermine Cooperation in Asymmetric Games? 非对称游戏中的小玩家是否会破坏合作?
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-10-04 DOI: 10.1007/s13235-023-00532-9
Charles F. Mason
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引用次数: 0
Benefits of Rent Sharing in Dynamic Resource Games 动态资源博弈中租金共享的效益
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-09-27 DOI: 10.1007/s13235-023-00528-5
Frederick van der Ploeg
Abstract Ngo Van Long’s classic paper on the risk of expropriation of natural resources published in a 1975 issue of the Journal of Economic Theory was an instant classic, which spawned a huge literature. Here I pay tribute to this wonderful brilliant yet modest scholar by briefly reviewing his contribution and then sketching how his insights can be used to analyse dynamic conflict over natural resources both as expropriation game and as a differential game on which Long has published extensively too. We discuss three results. First, if an incumbent faces a threat of a rival faction, extraction is more voracious if the factions do not share rents equally. Second, never-ending political conflict cycles are more inefficient if constitutional cohesiveness or rent sharing is strong and political instability is high. Third, resource wars are more intense if rent sharing is weak, reserves of resources are high, the wage is low, and elections occur less frequently.
Ngo Van Long在1975年出版的《经济理论杂志》(Journal of Economic Theory)上发表的关于自然资源被征用风险的经典论文立即成为经典,并催生了大量文献。在此,我向这位杰出而谦逊的学者致敬,简要回顾他的贡献,然后概述如何将他的见解用于分析自然资源的动态冲突,既可以作为征用博弈,也可以作为差异博弈,朗也就此发表了大量文章。我们讨论三个结果。首先,如果在位者面临竞争派系的威胁,如果派系不能平等地分享租金,那么抽取就会更加贪婪。其次,如果宪法凝聚力或租金分摊较强,政治不稳定程度较高,那么永无止境的政治冲突周期效率会更高。第三,如果租金共享弱、资源储备高、工资低、选举发生频率低,资源战争就会更激烈。
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引用次数: 0
Stochastic Vaccination Game Among Influencers, Leader and Public 影响者、领导者和公众之间的随机疫苗接种博弈
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-09-25 DOI: 10.1007/s13235-023-00531-w
Vartika Singh, Veeraruna Kavitha
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引用次数: 0
Resource Mobility and Market Performance 资源流动与市场绩效
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-09-25 DOI: 10.1007/s13235-023-00517-8
Luca Colombo, Paola Labrecciosa
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引用次数: 0
Sequential Mergers and Delayed Monopolization in Triopoly 三强垄断中的顺序合并与延迟垄断
4区 数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2023-09-25 DOI: 10.1007/s13235-023-00526-7
Didier Laussel
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引用次数: 0
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