We study a rational expectations equilibrium economy where agents learn from the actions of others by adopting the simple average of ex ante optimal strategies of their social network. When information is exogenous, large social networks benefit all agents if and only if agents are relatively...

We study a model of realization utility in a financial market where the drift of the stock switches between a bull and a bear market driven by a hidden Markov chain. In this model, an investor trading between a risky, regime switching stock and a risk-free bond seeks to determine an optimal...

We study discrete-time predictable forward processes when trading times do not coincide with performance evaluation times in the binomial tree model for the financial market. The key step in the construction of these processes is to solve a linear functional equation of higher order associated...

We investigate reference point formation in a social network of multiple investors and study its impact on wealth growth and inequality under a framework of Prospect Theory. The reference point of each individual investor contains both personal and social components. Whereas the personal...

We investigate a discrete-time mean-risk portfolio selection problem, where risk is measured by the conditional value-at-risk (CVaR). By embedding this time-inconsistent problem into a family of expected utility maximization problems with a piecewise linear utility function, we solve the problem...

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...

Any robo-advisor needs to decide on a framework to model the preferences of its investors over uncertain outcomes. As of today, most robo-advisors model their investors as mean-variance optimizers. While the mean-variance framework is intuitive and optimal investment strategies have been derived...

We study the evolution of the Arrow-Pratt measure of risk-tolerance in the framework of discrete-time predictable forward utility (or performance) processes. An agent starts with an initial utility function, which is then sequentially updated forward in time under the guidance of the martingale...