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Equilibria in Epidemic Containment Games

Sudip Saha, Abhijin Adiga, Anil Vullikanti
We develop a new formulation for an epidemic containment game, which relies on the characterization of the SIS model in terms of the spectral radius of the network.  ...  We show in this model that pure Nash equilibria (NE) always exist, and can be found by a best response strategy.  ...  Disclaimer: The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied  ... 
doi:10.1609/aaai.v28i1.8819 fatcat:5cmafeqz3bbdzbdloeetfqfv2y

Secure the IoT Networks as Epidemic Containment Game

Juntao Zhu, Hong Ding, Yuchen Tao, Zhen Wang, Lanping Yu
2021 Symmetry  
The spread of a computer virus among the Internet of Things (IoT) devices can be modeled as an Epidemic Containment (EC) game, where each owner decides the strategy, e.g., installing anti-virus software  ...  method in solution quality.  ...  Conclusions and Future Research This paper focuses on exploring the Nash Equilibria in Epidemic Containment game, representing the spread of epidemics among interdependent users.  ... 
doi:10.3390/sym13020156 fatcat:orrcfcqxpvbrbfoqjdaj3yxydi

A Scalable Bayesian Persuasion Framework for Epidemic Containment on Heterogeneous Networks [article]

Shraddha Pathak, Ankur A. Kulkarni
2022 arXiv   pre-print
In this paper, we develop a scalable framework for ascertaining the optimal information disclosure a government must make to individuals in a networked society for the purpose of epidemic containment.  ...  During an epidemic, the information available to individuals in the society deeply influences their belief of the epidemic spread, and consequently the preventive measures they take to stay safe from the  ...  information disclosure policy for epidemic containment.  ... 
arXiv:2207.11578v1 fatcat:qdq3l7en6fetbfrsprveoxd7li

Nash Social Distancing Games with Equity Constraints: How Inequality Aversion Affects the Spread of Epidemics [article]

Ioannis Kordonis, Athanasios-Rafail Lagos, George P. Papavassilopoulos
2021 arXiv   pre-print
In this paper, we present a game-theoretic model describing voluntary social distancing during the spread of an epidemic.  ...  The Nash equilibria of this social distancing game are studied.  ...  INTRODUCTION Epidemics harass humanity for centuries, and people investigate several strategies to contain them.  ... 
arXiv:2009.00146v2 fatcat:yar5v2kzgjdpxgoq6ly4mioooa

Epidemic Propagation under Evolutionary Behavioral Dynamics: Stability and Bifurcation Analysis [article]

Abhisek Satapathi, Narendra Kumar Dhar, Ashish R. Hota, Vaibhav Srivastava
2022 arXiv   pre-print
We consider the class of SIS epidemic models in which a large population of individuals chooses whether to adopt protection or to remain unprotected as the epidemic evolves.  ...  We completely characterize the existence and local stability of the equilibria of the resulting coupled epidemic and replicator dynamics.  ...  In contrast with the above settings, epidemic games exhibit a dynamically changing proportion of healthy and infected individuals due to epidemic dynamics.  ... 
arXiv:2203.10276v1 fatcat:oz576dtghjbq7dn3mia3imnb5e

Equilibria of an Epidemic Game with Piecewise Linear Social Distancing Cost

Timothy C. Reluga
2013 Bulletin of Mathematical Biology  
Equilibrium solutions are constructed in closed-form for an open-ended epidemic.  ...  But the benefits of changes in behavior depend on the course of the epidemic, which itself depends on our behaviors.  ...  Equilibria of an Epidemic Game with Piecewise Linear Social Distancing Cost 15 trajectory and the switching surface.  ... 
doi:10.1007/s11538-013-9879-5 pmid:23943363 fatcat:cchxrlszyjg2fdfcc7aft24ha4

Page 1785 of Mathematical Reviews Vol. , Issue 94c [page]

1994 Mathematical Reviews  
The set of Nash equilibria is a subset of the pre-equilibrium set. The paper con- cludes with an example in which the author computes the pre- equilibrium set and finds the Nash equilibria. Imma J.  ...  Differential games—developments in modelling and computation (Espoo, 1990), 151-163, Lecture Notes in Control and Inform. Sci., 156, Springer, Berlin, 1991.  ... 

Long-standing influenza vaccination policy is in accord with individual self-interest but not with the utilitarian optimum

A. P. Galvani, T. C. Reluga, G. B. Chapman
2007 Proceedings of the National Academy of Sciences of the United States of America  
We parameterize an epidemiological game theoretic model of influenza vaccination with questionnaire data on actual perceptions of influenza and its vaccine to compare Nash equilibria vaccination strategies  ...  driven by self-interest with utilitarian strategies for both epidemic and pandemic influenza.  ...  Calculation of Nash equilibria We then used our utilities of vaccination decisions to calculate convergently stable Nash equilibria of the population game in which individuals of a given age class choose  ... 
doi:10.1073/pnas.0606774104 pmid:17369367 pmcid:PMC1838447 fatcat:24oftictljfepcpgwxpvzfvxjy

Temporal Vaccination Games under Resource Constraints

Abhijin Adiga, Anil Vullikanti
In this paper, we study temporal vaccination games for epidemics in the SI (susceptible-infectious) model, with resource constraints in the form of a repeated game in complex social networks, with budgets  ...  Most of the work on vaccination games has focused on decisions at the start of an epidemic. However, a lot of people defer their vaccination decisions, in practice.  ...  Let C(v, G ) be the connected component containing node v in the graph G .  ... 
doi:10.1609/aaai.v30i1.10137 fatcat:if2sgsp6rzb5nb3rntcjefd2yy

Prophylaxis of Epidemic Spreading with Transient Dynamics [article]

Geraldine Bouveret, Antoine Mandel
2020 arXiv   pre-print
We investigate the containment of epidemic spreading in networks from a normative point of view.  ...  Overall, our results show that individual behaviours can be extremely inefficient in the face of epidemic propagation but that policy can take advantage of the network structure to design efficient containment  ...  Section 3 introduces epidemic dynamics as well as our behavioural model of the containment of epidemic spreading.  ... 
arXiv:2007.07580v1 fatcat:5xclfppqzzhcddc6oa3dx3drgq

Strategic Interactions in Antiviral Drug Use During an Influenza Pandemic

Kamal Jnawali, Bryce Morsky, Chris T. Bauch
2017 PLOS Currents  
We determine the Nash equilibria of the game.  ...  Each 'player' (an authority in a health jurisdiction) can choose to treat with antiviral drugs at a low rate or a high rate.  ...  Nash Equilibria Coordination games are a class of games with multiple pure strategy Nash equilibria .  ... 
doi:10.1371/currents.outbreaks.602dfa010991dbe510c51d5107b02343 fatcat:kshooaoppnckbi4cmdosll7ztq

Page 1644 of Mathematical Reviews Vol. , Issue 87c [page]

1987 Mathematical Reviews  
In the second model, the dispersing population is a food-limited predator that occurs in both a source habitat (which contains a prey population) and a sink habitat (which does not).  ...  equilibria located at the vertices when u; — +00.  ... 

Quantal Response Equilibria in Binary Choice Games on Graphs [article]

Andrey Leonidov, Alexey Savvateev, Andrew G. Semenov
2019 arXiv   pre-print
Static and dynamic equilibria in noisy binary choice games on graphs are considered.  ...  choice game having the earlier described QRE as its stationary equilibria in the mean field approximation is constructed using the formalism of master equation.  ...  In the particular case of a complete graph the resulting equation coincides with the one derived in [2] . 2 Quantal response equilibria in static noisy binary choice games Noisy binary choice game Let  ... 
arXiv:1912.09584v1 fatcat:b4thbi4ddffhlnyaetbdgkzw7u

Identification and Control of Game-Based Epidemic Models

Dario Madeo, Chiara Mocenni
2022 Games  
In this work, we integrate a standard epidemic model with the replicator equation of evolutionary games in order to study the interplay between the infection spreading and the propensity of people to be  ...  The developed model shows high performance in fitting real measurements of infected, recovered and dead people during the whole period of COVID-19 epidemic spread, from March 2020 to September 2021 in  ...  In [19] , a suitable game is introduced to account for the reward of social distancing in vulnerable and non-vulnerable agents, while [20] studies the optimal strategies of people to contain the epidemic  ... 
doi:10.3390/g13010010 fatcat:jusckgh7zjdupp36nbvyn5xn7q

Games of Social Distancing during an Epidemic: Local vs Statistical Information [article]

A.-R. Lagos, I. Kordonis, G. P. Papavassilopoulos
2020 arXiv   pre-print
The Nash equilibria of the games are studied and, interestingly, in the second case the equilibrium strategies for an agent are either full isolation or no social distancing at all.  ...  In this work, we study a social distancing game among the agents of a population, who determine their social interactions during the spread of an epidemic.  ...  Regardless of its derivation and its mathematical formulation, the usefulness of epidemic modeling is to guide states and/or individuals in taking the right protective measures to contain the epidemics  ... 
arXiv:2007.05185v1 fatcat:l4zhmwb2czafhmooirhx5zxrpq
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