Mean Field Games

Mean-field approximation of stochastic population processes in games 4 time intervals, gives the expected net increase in each population share during the time interval, per time

In this paper, we establish (1) the classical limit of the Hartree equation leading to the Vlasov equation, (2) the classical limit of the N-body linear Schr¨ odinger equation

We define the Fictitious Play and a potential in this setting, and then prove the convergence, first for the infinite population and then for a large, but finite, one.. As far as we

empiriques de la distribution du cout d'un accident professionnel dans cinq branches industrielles et artisanales en Suisse 2 ). Nous voudrions faire pre"ce"der

The DM origin of the spectral feature of LK10 would remain con- sistent with existing archival data only if the DM amount in M31, Fornax and Sculptor are strongly overestimated

Our main results are (i) Theorem 5.1, stating the existence of an equilibrium for the mean field game model we propose in this paper, and (ii) Theorem 6.1, stating that

3, where terminals start the game with a uniform energy distribution, it can be seen that the amount of terminals with high energy (20 J) decreases with time, whereas an

The numerical investigations revealed that in a market with profit-maximizing far-sighted firms, two different groups of pricing strategies emerge endogenously depending on