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math.OC2019
Stochastic Graphon Games: I. The Static Case
Rene Carmona, Daniel Cooney, Christy Graves +1
We consider static finite-player network games and their continuum analogs, graphon games. Existence and uniqueness results are provided, as well as convergence of the finite-playe…
math.OC2018
Jet Lag Recovery: Synchronization of Circadian Oscillators as a Mean Field Game
Rene Carmona, Christy V. Graves
The Suprachiasmatic Nucleus (SCN) is a region in the brain that is responsible for controlling circadian rhythms. The SCN contains on the order of 10^4 neuronal oscillators which h…
math.OC2018
Price of Anarchy for Mean Field Games
Rene Carmona, Christy V. Graves, Zongjun Tan
The price of anarchy, originally introduced to quantify the inefficiency of selfish behavior in routing games, is extended to mean field games. The price of anarchy is defined as t…