We consider a class of non-cooperative N-player non-zero-sum stochastic differential games with singular controls, in which each player can affect a linear stochastic differential equation in order to minimize a cost functional which is quadratic in the state and linear in the control. We call...

Are the serves of the world’s best tennis pros consistent with the theoretical predictions of Nash equilibrium in mixed strategies? We analyze their serve direction choices (to the receiver’s left, right or body) with data from an online database called the Match Charting Project. Using a...

A graphon game can be seen either as a limit of a sequence of network games when the number of players tends to infinity, or a stochastic model for sampling network games. We show that, under mild conditions which allow for multiple best-responses, every graphon game has a Nash equilibrium. We...