12 citations · 20 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
Master equation for the finite state space planning problem
Charles Bertucci, Jean-Michel Lasry, Pierre-Louis Lions
We present results of existence, regularity and uniqueness of solutions of the master equation associated with the mean field planning problem in the finite state space case, in th…
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…