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...

Consider robust utility maximization with an irreversible consumption habit, where an agent concerned about model ambiguity is unwilling to decrease consumption and must simultaneously contend with a disutility (i.e., an adjustment cost) due to a consumption increase. While the optimization is a...

Ai and Li [2015] introduced a problem at the interface of the neoclassical investment and dynamic contract theories. Specifically, the authors consider the optimal design of a contract that provides sufficient incentives to the management for it to implement the shareholder’s investment plan...

Diversification plays an important role in financial theory and lays the foundation for financial risk management. However, its role is greatly weakened when systemic risk events occur. In this paper, we study portfolio selection against systemic risk from the perspective of individual...