In a new scheme for hedge fund managerial compensation known as the first-loss scheme, a fund manager uses her investment in the fund to cover any fund losses first; by contrast, in the traditional scheme currently used in most U.S. funds, the manager does not cover investors' losses in the...

We introduce the concept of forward rank-dependent performance criteria, extending the original notion to forward criteria that incorporate probability distortions. A fundamental challenge is how to reconcile the time-consistent nature of forward performance criteria with the time-inconsistency...

We study the implications of various models of reference point formation on optimal decision making in the context of portfolio optimization under loss aversion. If the reference point is exogenously given, then the predictions of any such model crucially depend on the choice of the reference...

In a continuous-time setting, the existing notion of equilibrium strategies for time-inconsistent problems in the literature, referred to as weak equilibrium, is not fully aligned with the standard definition of equilibrium in the game theory in that the agent may be willing to deviate from a...

In a market that consists of multiple stocks and one risk-free asset whose mean return rates and volatility are deterministic, we study a continuous-time mean-variance portfolio selection problem in which an agent is subject to a constraint that the expectation of her terminal wealth must exceed...

We obtain closed-form solutions to a dynamic pricing problem in which a capacity provider determines the price of a product and customers' willingness-to-pay follows a specific family of distributions. This family of distributions not only includes the exponential distribution as a special case...

We consider a generalization of the recursive utility model by adding a new component that represents utility of investment gains and losses. We also study the utility process in this generalized model with constant elasticity of intertemporal substitution and relative risk aversion degree, and...

This document contains supplementary materials to "On the Equilibrium Strategies forTime-Inconsistent Problems in Continuous Time" by X.D. He and Z.L. Jiang. The paper to which these supplementary materials apply will appear in the SIAM Journal on Control and Optimization and is available at the...

We propose a family of incentive contracts that can attract some fund managers who are favored by investors and deter any manager who is unfavorable to some investors. The contract problem has hidden types, hidden actions, hidden knowledge of preferences, and opportunity cost. In contrast to...

We consider portfolio optimization under a preference model in a single-period, complete market. This preference model includes Yaari's dual theory of choice and quantile maximization as special cases. We characterize when the optimal solution exists and derive the optimal solution in closed...