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Evolutionary Poisson Games for Controlling Large Population Behaviors [article]

Yezekael Hayel, Quanyan Zhu
2015 arXiv   pre-print
We introduce the notion of evolutionary Poisson stable equilibrium for the game, and show its existence and uniqueness.  ...  In this work, we establish an evolutionary Poisson game framework to capture the random, dynamic and heterogeneous interactions of agents in a holistic fashion, and design mechanisms to control their behaviors  ...  In addition, we use virus protection over a large-scale network as a motivating application to illustrate the link between the game-theoretic model and the application.  ... 
arXiv:1503.08085v1 fatcat:7lswpfibd5h5jksy5m7ze3bvw4

Dynamic Vaccination Game in a Heterogeneous Mixing Population [article]

Liqun Lu, Yanfeng Ouyang
2019 arXiv   pre-print
To study the vaccination game, the susceptible-infected-removed disease propagation process is generalized into a new epidemic dynamics model to allow dynamic vaccination and immunity activation in a heterogeneous  ...  This paper investigates the voluntary vaccination behavior of a heterogeneous population during an epidemic outbreak, where each individual makes its own vaccination decision to minimize its expected disutility  ...  Conclusion This work investigates a dynamic vaccination game among a heterogeneous mixing population during an epidemic outbreak.  ... 
arXiv:1901.09285v1 fatcat:kppfjij7jzhvhfjqkiicbyfwcm

Game theoretic modelling of infectious disease dynamics and intervention methods: a mini-review [article]

Sheryl L. Chang and Mahendra Piraveenan and Philippa Pattison and Mikhail Prokopenko
2019 arXiv   pre-print
We review research papers which use game theory to model the decision making of individuals during an epidemic, attempting to classify the literature and identify the emerging trends in this field.  ...  We show that while early studies used compartmental modelling with self-evaluation based strategy adoption, the recent trend is to use network-based modelling with imitation-based strategy adoption.  ...  We believe that the presented review reduces a gap in literature, providing a useful summary of key findings and research trends in an expanding area of computational epidemiology.  ... 
arXiv:1901.04143v1 fatcat:eytiuixhibfoxc2tvxscdbjuvm

Superspreading and Heterogeneity in Epidemics [article]

Klaus Kroy
2023 arXiv   pre-print
A century later, we can draw on cross-fertilizations from network and game theory and the emerging field of eco-evolutionary dynamics to substantiate them.  ...  That epidemic disease spreading is moreover closely intertwined with equally heterogeneous genetic drift and information feedback adds new challenges -- and chances.  ...  warnings that there is no adequate protection against psychic epidemics, which are infinitely more devastating than the worst of natural catastrophes.  ... 
arXiv:2202.13477v2 fatcat:vrwapokdzzdp5nwygpjvh2ii24

Coupled disease–behavior dynamics on complex networks: A review

Zhen Wang, Michael A. Andrews, Zhi-Xi Wu, Lin Wang, Chris T. Bauch
2015 Physics of Life Reviews  
Research on studying coupled disease-behavior dynamics in complex networks in particular is growing rapidly, and frequently makes use of analysis methods and concepts from statistical physics.  ...  networks, and compare them to processes in statistical physics.  ...  Another good example can be found in a recent work [89] , in which Zhang et al. proposed an evolutionary epidemic game where individuals can choose their strategies as vaccination, self-protection or  ... 
doi:10.1016/j.plrev.2015.07.006 pmid:26211717 pmcid:PMC7105224 fatcat:ix5crujaonfrtekdnkoew752nq

Modeling and Pricing Cyber Insurance – Idiosyncratic, Systematic, and Systemic Risks [article]

Kerstin Awiszus, Thomas Knispel, Irina Penner, Gregor Svindland, Alexander Voß, Stefan Weber
2022 arXiv   pre-print
While for idiosyncratic and systematic cyber risks, classical actuarial and financial mathematics appear to be well-suited, systemic cyber risks require more sophisticated approaches that capture both network  ...  Empirical analysis in various research areas suggests that realworld networks exhibit much more heterogeneous degrees than Poisson distributions would suggest.  ...  Interdependent Self Protection in IT Networks The strategic interaction of the three types of players introduced above is modeled as a game.  ... 
arXiv:2209.07415v2 fatcat:2jsdpcevxna2plkt3ejfvgfyba

Cooperation and the social brain hypothesis in primate social networks [article]

Neil G. MacLaren and Lingqi Meng and Melissa Collier and Naoki Masuda
2023 arXiv   pre-print
In the present study, we combine data on brain and body mass, data on social networks, and theory on the evolution of cooperation on networks to test this hypothesis in primates.  ...  We have found a positive effect of brain size on cooperation in social networks even after controlling for the effect of other structural properties of networks that are known to promote cooperation.  ...  We thank Pratha Sah, Jose Mendez, Grant Rosensteel, Elly Meng, and Sania Ali for their contributions to the development and growth of the Animal Social Network Repository.  ... 
arXiv:2302.00075v1 fatcat:qzt4iya45zhzlffzyx6tosx7qm

Social Dilemma Analysis of the Spread of Infectious Disease [chapter]

Jun Tanimoto
2018 Evolutionary Foundations of Economic Science  
These are classified as heterogeneous degree-distributed networks.  ...  This conflict is why we introduce evolutionary game theory into epidemiology; vaccination can be viewed as a game on a complex social network.  ... 
doi:10.1007/978-981-13-2769-8_4 fatcat:r5rogrgnh5bnrch3u2hrakeki4

Modeling Rumor Diffusion Process With the Consideration of Individual Heterogeneity: Take the Imported Food Safety Issue as an Example During the COVID-19 Pandemic

Tinggui Chen, Jingtao Rong, Jianjun Yang, Guodong Cong
2022 Frontiers in Public Health  
This article integrates three heterogeneous factors into the SEIR model and designs an individual state transition mode at first.  ...  The rumor diffusion will cause a great impact on the network order and the stability of the society. So it's necessary to study the diffusion process and develop the rumor control strategies.  ...  Existing studies mostly use SEIR model and evolutionary game model to describe this process.  ... 
doi:10.3389/fpubh.2022.781691 pmid:35330754 pmcid:PMC8940522 fatcat:2oe5q6ysrnh2bdcye2zqfxrv4i

Recent Advances in Modeling and Control of Epidemics using a Mean Field Approach [article]

Amal Roy, Chandramani Singh, Y. Narahari
2022 arXiv   pre-print
Following this, we provide an update on the state-of-the-art literature on the use of the mean field game based approach in the study of epidemic spread and control.  ...  We then provide a review of relevant literature, using a mean field approach, on optimal control of epidemics, dealing with how a regulatory authority may optimally contain epidemic spread in a population  ...  The review also provides a taxonomy of the literature based on (1) types of games, such as static games, differential games, stochastic games, evolutionary games, and mean field games (2) types of interventions  ... 
arXiv:2208.14765v1 fatcat:blfamehdanbpfdz2ni2gvkyz5i

Mathematical and computational approaches to epidemic modeling: a comprehensive review

Wei Duan, Zongchen Fan, Peng Zhang, Gang Guo, Xiaogang Qiu
2015 Frontiers of Computer Science  
We introduce major epidemic models in three directions, including mathematical models, complex network models, and agent-based models.  ...  In this article, we carry out a comprehensive review of epidemic models to provide an insight into the literature of epidemic modeling and simulation.  ...  Stochastic modeling of animal epidemics using data collected over three different spatial scales. Epidemics, 2011, 3(2): 61-70 21. Forgoston E, Billings L, Schwartz I B.  ... 
doi:10.1007/s11704-014-3369-2 pmid:32288946 pmcid:PMC7133607 fatcat:ceqn6bq22ve6hhgpiau4hwcweu

Evolution of mate-finding Allee effect in prey

Luděk Berec, Veronika Bernhauerová, Barbara Boldin
2018 Journal of Theoretical Biology  
Studies with dynamic networks often use Erd¨os-Renyi (ER) random networks [8, 7].  ...  Abstract We consider economic and social influences on the evolution of cooperative behaviour using a modified public goods game on a multiplex network as a model.  ...  These recent results give us proper framework for solving both groups of problems: biological and technical.  ... 
doi:10.1016/j.jtbi.2017.12.024 pmid:29277599 fatcat:2p5kgwe6fffonblaccjhwlwvui

A simulation analysis to characterize the dynamics of vaccinating behaviour on contact networks

Ana Perisic, Chris T Bauch
2009 BMC Infectious Diseases  
Results: We find three possible outcomes for behavior-prevalence dynamics on this type of network: small final number vaccinated and final epidemic size (due to rapid control through voluntary ring vaccination  ...  However, spatial and social heterogeneity are known to significantly impact transmission dynamics and are particularly relevant for certain diseases.  ...  Random networks with regular, Poisson, exponential and scale-free degree distributions have mainly been used in the individual-based models [33, 41] .  ... 
doi:10.1186/1471-2334-9-77 pmid:19476616 pmcid:PMC2695470 fatcat:gmqfug7uzbhvvcsttkz57eltae

Social physics [article]

Marko Jusup, Petter Holme, Kiyoshi Kanazawa, Misako Takayasu, Ivan Romic, Zhen Wang, Suncana Gecek, Tomislav Lipic, Boris Podobnik, Lin Wang, Wei Luo, Tin Klanjscek (+3 others)
2021 arXiv   pre-print
, and the integration of intelligent machines in such networks.  ...  Recent decades have seen a rise in the use of physics-inspired or physics-like methods in attempts to resolve diverse societal problems.  ...  ., L 2 = {US, EU}). Then the set of layers is L = L 1 × L 2 = {(FB, US), (FB, EU), (TWTR, US), (TWTR, EU)}. Figure 26 : 26 Evolutionary games in temporal networks.  ... 
arXiv:2110.01866v1 fatcat:ccfxyezl6zgddd6uvrxubmaxua

Statistical physics of vaccination

Zhen Wang, Chris T. Bauch, Samit Bhattacharyya, Alberto d'Onofrio, Piero Manfredi, Matjaž Perc, Nicola Perra, Marcel Salathé, Dawei Zhao
2016 Physics reports  
Many of the methods used originated in statistical physics, such as lattice and network models, and their associated analytical frameworks.  ...  And in contrast to traditional approaches, recent research increasingly explores the pivotal implications of individual behavior and heterogeneous contact patterns in populations.  ...  epidemic game [551] .  ... 
doi:10.1016/j.physrep.2016.10.006 fatcat:hxq7di4j4zfilfv3m4ogbkzovu
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