We calculate learning rates when agents are informed through both public andprivate observation of other agents’ actions. We provide an explicit solution forthe evolution of the distribution of posterior beliefs. When the private learningchannel is present, we show that convergence of the...

We derive representations for the stock price drift and volatility in theequilibrium of agents with arbitrary, heterogeneous utility functionsand with the aggregate dividend following an arbitrary Markov diffusion.We introduce a new, intrinsic characteristic of the aggregate dividendprocess that...

We consider a simple continuous-time economy, populated by a largenumber of agents, more risk averse than the log agent, with heterogeneousrisk aversion densely covering an interval. Even though thedividend is a geometric Brownian motion, the equilibrium investmentopportunity set is stochastic...

In all the existing literature on survival in heterogeneous economies,the rate at which an agent vanishes in the long run relative to anotheragent can be characterized by the difference of the so-called survivalindices, where each survival index only depends on the preferencesof the...

We consider backward stochastic dierential equations (BSDEs) witha particular quadratic generator and study the behaviour of their solu-tions when the probability measure is changed, the ltration is shrunk,or the underlying probability space is transformed.[...]

A random variable dominates another random variable with respectto the covariance order if the covariance of any two monotone increasingfunctions of this variable is smaller. We characterize completely thecovariance order, give strong sufficient conditions for it, present a numberof examples in...

We perform a detailed asymptotic analysis of the equilibrium behavior of the assetprices, wealth size and portfolio weights in complete markets equilibria, with long-livedfunds. In equilibrium, the fund with the (closest to) log preference will dominate theother funds in size, in the long-run,...

We solve for the equilibrium dynamics of information sharing in a large pop-ulation. Each agent is endowed with signals regarding the likely outcome of arandom variable of common concern. Individuals choose the effort with whichthey search for others from whom they can gather additional...

We study utility indifference pricing of claim streams with intertemporalconsumption and power (CRRA) utilities. We derive explicit formulasfor the derivatives of the utility indifference price with respect toclaims and wealth. The simple structure of these formulas is a reflectionof surprising...

We analyze an equilibrium model in which agents exposed to idiosyncraticrisk can purchase insurance policies in addition to financialassets. The price of an insurance contract depends nonlinearly on theclaims and explicitly contains safety loadings, proportional to variance.We consider random...