We study the existence of equilibria with endogenously complete markets in a continuous-time, heterogenous agents economy driven by a multidimensional diffusion process. Our main results show that if prices are real analytic as functions of time and the state variables of the model then a...

In this paper we present a two period model, where the agent's preferences are described by prospect theory as proposed by Kahneman and Tversky. We solve for the agent's portfolio decision. Our findings are that the changes in portfolio weights depend crucially on the reference point and the...

This paper studies the wealth dynamics of investors holding self-financing portfolios in a continuous-time model of a financial market. Asset prices are endogenously determined by market clearing. We derive results on the asymptotic dynamics of the wealth distribution and asset prices for...

This paper aims to open a new avenue for research in continuous-time financial market models with endogenous prices and heterogenous investors. The main result is the derivation of the limit of a discretetime evolutionary stock market model as the length of the time period tends to zero. The...

In this paper we examine the effect of collateral requirements on the prices of long-lived assets. We consider a Lucas-style infinite-horizon exchange economy with heterogeneous agents and collateral constraints. There are two trees in the economy which can be used as collateral for short-term...

Regulators charged with monitoring systemic risk need to focus on sentiment as well as narrowly defined measures of systemic risk. This chapter describes techniques for jointly monitoring the co-evolution of sentiment and systemic risk. To measure systemic risk, we use Marginal Expected...

The purpose of this paper is two-fold. First is to extend the notions of an n-dimensional semimartingale and its stochastic integral to a piecewise semimartingale of stochastic dimension. The properties of the former carry over largely intact to the latter, avoiding some of the pitfalls of in...

There are two major streams of literature on the modeling of financial bubbles: the strict local martingale framework and the Johansen-Ledoit-Sornette (JLS) financial bubble model. Based on a class of models that embeds the JLS model and can exhibit strict local martingale behavior, we clarify...

We develop a general model of decentralized exchange. Our model allows for any number of traders and traded assets, and any form of market decentralization, including trading environments determined by an arbitrary network structure. We study how the equilibrium allocation and liquidity depend...

Active fund managers implicitly promise to research profitable portfolio selection. But active management is an experience good subject to moral hazard. Investors cannot tell high from low quality up front and therefore fear manager shirking. We show how the parties mitigate the moral hazard by...