Starting from the Avellaneda–Stoikov framework, we consider a market maker who wants to optimally set bid/ask quotes over a finite time horizon, to maximize her expected utility. The intensities of the orders she receives depend not only on the spreads she quotes, but also on unobservable...

Mean-field games with absorption is a class of games, that have been introduced in Campi and Fischer (2018) and that can be viewed as natural limits of symmetric stochastic differential games with a large number of players who, interacting through a mean-field, leave the game as soon as their...

In commodity markets, the convergence of futures towards spot prices as the time to maturity of the contracts goes to zero is usually justified by no-arbitrage arguments. In this paper we propose an alternative approach, that relies on the expected profit maximization problem of an agent...