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 …

Finite state graphon games with applications to epidemics

A Aurell, R Carmona, G Dayanıklı… - Dynamic Games and …, 2022‏ - Springer
We consider a game for a continuum of non-identical players evolving on a finite state
space. Their heterogeneous interactions are represented with a graphon, which can be …

Semiexplicit solutions to some nonlinear nonquadratic mean-field-type games: A direct method

J Barreiro-Gomez, TE Duncan… - … on Automatic Control, 2019‏ - ieeexplore.ieee.org
This article examines mean-field-type game problems by means of a direct method. We
provide various solvable examples beyond the classical linear-quadratic game problems …

Risk-awareness in multi-level building evacuation with smoke: Burj Khalifa case study

J Barreiro-Gomez, SE Choutri, H Tembine - Automatica, 2021‏ - Elsevier
We study a risk-aware multi-level evacuation control problem considering smoke
propagation. We propose a continuous-time Markov-chain-based modeling for both …

[HTML][HTML] Mean-field risk sensitive control and zero-sum games for Markov chains

SE Choutri, B Djehiche - Bulletin des Sciences Mathématiques, 2019‏ - Elsevier
We establish existence of controlled Markov chain of mean-field type with unbounded jump
intensities by means of a fixed point argument using the Wasserstein distance. Furthermore …

Mean Field Models with Heterogeneous Agents: Extensions and Learning

G Dayanıklı - 2022‏ - search.proquest.com
We first study the extensions of mean field game and control models with heterogenous
players (ie, major players) with applications to socioeconomic problems. Later, in order to …