Fictitious play for mean field games: Continuous time analysis and applications

S Perrin, J Pérolat, M Laurière… - Advances in neural …, 2020 - proceedings.neurips.cc
In this paper, we deepen the analysis of continuous time Fictitious Play learning algorithm to
the consideration of various finite state Mean Field Game settings (finite horizon, $\gamma …

[PDF][PDF] Learning mean field games: A survey

M Laurière, S Perrin, M Geist… - arxiv preprint arxiv …, 2022 - researchgate.net
Non-cooperative and cooperative games with a very large number of players have many
applications but remain generally intractable when the number of players increases …

Effects of information-induced behavioural changes during the COVID-19 lockdowns: the case of Italy

B Buonomo, R Della Marca - Royal Society open …, 2020 - royalsocietypublishing.org
The COVID-19 pandemic that started in China in December 2019 has not only threatened
world public health, but severely impacted almost every facet of life, including behavioural …

Optimal incentives to mitigate epidemics: a Stackelberg mean field game approach

A Aurell, R Carmona, G Dayanikli, M Lauriere - SIAM Journal on Control and …, 2022 - SIAM
Motivated by the models of epidemic control in large populations, we consider a Stackelberg
mean field game model between a principal and a mean field of agents whose states evolve …

COVID-19 pandemic control: balancing detection policy and lockdown intervention under ICU sustainability

A Charpentier, R Elie, M Laurière… - … Modelling of Natural …, 2020 - mmnp-journal.org
An extended SIR model, including several features of the recent COVID-19 outbreak, is
considered: the infected and recovered individuals can either be detected or undetected and …

Recent advances in modeling and control of epidemics using a mean field approach

A Roy, C Singh, Y Narahari - Sādhanā, 2023 - Springer
The modeling and control of epidemics, such as the novel Coronavirus, have become
crucial on a global scale, for effective management of epidemic situations. This paper is …

Control strategies for COVID-19 epidemic with vaccination, shield immunity and quarantine: A metric temporal logic approach

Z Xu, B Wu, U Topcu - PloS one, 2021 - journals.plos.org
Ever since the outbreak of the COVID-19 epidemic, various public health control strategies
have been proposed and tested against the coronavirus SARS-CoV-2. We study three …

[HTML][HTML] Optimal control design incorporating vaccination and treatment on six compartment pandemic dynamical system

RP Kumar, S Basu, PK Santra, D Ghosh… - Results in Control and …, 2022 - Elsevier
In this paper, a mathematical model of the COVID-19 pandemic with lockdown that provides
a more accurate representation of the infection rate has been analyzed. In this model, the …

A behavioural modelling approach to assess the impact of COVID-19 vaccine hesitancy

B Buonomo, R Della Marca, A d'Onofrio… - Journal of Theoretical …, 2022 - Elsevier
We introduce a compartmental epidemic model to describe the spread of COVID-19 within a
population, assuming that a vaccine is available, but vaccination is not mandatory. The …

Path integral control of a stochastic multi-risk sir pandemic model

P Pramanik - Theory in Biosciences, 2023 - Springer
In this paper a Feynman-type path integral control approach is used for a recursive
formulation of a health objective function subject to a fatigue dynamics, a forward-looking …