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20182021
most citedMean Field Game Approach to Bitcoin Mining

5 citations · 5 across the 4 of their papers we have counts for

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7 papers · 1 filter

math.AP2021

A Spectral Dominance Approach to Large Random Matrices

Charles Bertucci, Mérouane Debbah, Jean-Michel Lasry +1

This paper presents a novel approach to characterize the dynamics of the limit spectrum of large random matrices. This approach is based upon the notion we call "spectral dominance…

math.AP2020

Monotone solutions for mean field games master equations : finite state space and optimal stopping

Charles Bertucci

We present a new notion of solution for mean field games master equations. This notion allows us to work with solutions which are merely continuous. We prove first results of uniqu…

math.AP2020

A class of short-term models for the oil industry addressing speculative storage

Yves Achdou, Charles Bertucci, Jean-Michel Lasry +3

This is a work in progress. The aim is to propose a plausible mechanism for the short term dynamics of the oil market based on the interaction of economic agents. This is a theoret…

math.AP2020

Strategic advantages in mean field games with a major player

Charles Bertucci, Jean-Michel Lasry, Pierre-Louis Lions

This note is concerned with a modeling question arising from the mean field games theory. We show how to model mean field games involving a major player which has a strategic advan…

math.AP2018

A remark on Uzawa's algorithm and an application to mean field games systems

Charles Bertucci

In this paper, we present an extension of Uzawa's algorithm and apply it to build approximating sequences of mean field games systems. We prove that Uzawa's iterations can be used…

math.AP2018

Some remarks on Mean Field Games

Charles Bertucci, Jean Michel Lasry, Pierre Louis Lions

We study in this paper three aspects of Mean Field Games. The first one is the case when the dynamics of each player depend on the strategies of the other players. The second one c…