6 papers
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…
Numerical Probabilistic Approach to MFG
Andrea Angiuli, Christy V. Graves, Houzhi Li +3
This project investigates numerical methods for solving fully coupled forward-backward stochastic differential equations (FBSDEs) of McKean-Vlasov type. Having numerical solvers fo…
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…
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…
Quantifying Gerrymandering in North Carolina
Gregory Herschlag, Han Sung Kang, Justin Luo +4
Using an ensemble of redistricting plans, we evaluate whether a given political districting faithfully represents the geo-political landscape. Redistricting plans are sampled by a…
Redistricting: Drawing the Line
Sachet Bangia, Christy Vaughn Graves, Gregory Herschlag +4
We develop methods to evaluate whether a political districting accurately represents the will of the people. To explore and showcase our ideas, we concentrate on the congressional…