5 citations · 6 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
Mean Field Game Approach to Bitcoin Mining
Charles Bertucci, Louis Bertucci, Jean-Michel Lasry +1
We present an analysis of the Proof-of-Work consensus algorithm, used on the Bitcoin blockchain, using a Mean Field Game framework. Using a master equation, we provide an equilibri…
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…
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…