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20202026
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math.OC2026

Modeling Epidemic Spread with Strategic Vaccination and Socialization: a Mean Field Game Analysis

Huaning Liu, Gokce Dayanikli

We study a game-theoretic model of epidemic control in a large population with finitely many groups and non-cooperative individuals. In the model, individuals jointly choose their…

math.OC2022

Mean Field Model for an Advertising Competition in a Duopoly

Rene Carmona, Gokce Dayanikli

In this study, we analyze an advertising competition in a duopoly. We consider two different notions of equilibrium. We model the companies in the duopoly as major players, and the…

math.OC2021

Finite State Graphon Games with Applications to Epidemics

Alexander Aurell, Rene Carmona, Gokce Dayanikli +1

We consider a game for a continuum of non-identical players evolving on a finite state space. Their heterogeneous interactions are represented by a graphon, which can be viewed as…

math.OC2021

Mean Field Models to Regulate Carbon Emissions in Electricity Production

Rene Carmona, Gokce Dayanikli, Mathieu Lauriere

The most serious threat to ecosystems is the global climate change fueled by the uncontrolled increase in carbon emissions. In this project, we use mean field control and mean fiel…

math.OC2020

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

Alexander Aurell, Rene Carmona, Gokce Dayanikli +1

Motivated by models of epidemic control in large populations, we consider a Stackelberg mean field game model between a principal and a mean field of agents evolving on a finite st…