3 citations · 7 across the 9 of their papers we have counts for
6 papers · 1 filter
Ranking Mean-Field Planning Games
Ali Almadeh, Tigran Bakaryan, Diogo Gomes +1
This paper studies a one-dimensional Mean-Field Planning (MFP) system with a non-local, rank-based coupling. Using a potential formulation, we rewrite the system as an associated s…
A Variational Approach For Price Formation Models In One Dimension
Yuri Ashrafyan, Tigran Bakaryan, Diogo Gomes +1
In this paper, we study a class of first-order mean-field games (MFGs) that model price formation. Using Poincar{é} Lemma, we eliminate one of the equations and obtain a variationa…
Discrete Approximation Of Stationary Mean Field Games
Tigran Bakaryan, Diogo Gomes, Héctor Sánchez Morgado
In this paper, we focus on stationary (ergodic) mean-field games (MFGs). These games arise in the study of the long-time behavior of finite-horizon MFGs. Motivated by a prior schem…
A duality approach to a price formation MFG model
Yuri Ashrafyan, Tigran Bakaryan, Diogo Gomes +1
We study the connection between the Aubry-Mather theory and a mean-field game (MFG) price-formation model. We introduce a framework for Mather measures that is suited for constrain…
A Potential Approach for Planning Mean-Field Games in One Dimension
Tigran Bakaryan, Rita Ferreira, Diogo Gomes
This manuscript discusses planning problems for first- and second-order one-dimensional mean-field games (MFGs). These games are comprised of a Hamilton-Jacobi equation coupled wit…
Uniform estimates for the planning problem with potential
Tigran Bakaryan, Rita Ferreira, Diogo Gomes
In this paper, we study a priori estimates for a first-order mean-field planning problem with a potential. In the theory of mean-field games (MFGs), a priori estimates play a cruci…