Quantcast
Channel: MoneyScience: MoneyScience's news channel - arXiv > Recent Papers in Quant Finance
Viewing all articles
Browse latest Browse all 2696

Mean-Field Leader-Follower Games with Terminal State Constraint. (arXiv:1809.04401v1 [q-fin.MF])

$
0
0

We analyze linear McKean-Vlasov forward-backward SDEs arising in leader-follower games with mean-field type control and terminal state constraints on the state process. We establish an existence and uniqueness of solutions result for such systems in time-weighted spaces as well as a {convergence} result of the solutions with respect to certain perturbations of the drivers of both the forward and the backward component. The general results are used to solve a novel single-player model of portfolio liquidation under market impact with expectations feedback as well as a novel Stackelberg game of optimal portfolio liquidation with asymmetrically informed players.


Viewing all articles
Browse latest Browse all 2696

Trending Articles