The present paper considers a class of general equilibrium economics when the primitive uncertainty model features uncertainty about continuous-time volatility. This requires a set of mutually singular priors, which do not share the same null sets. For this setting we introduce an appropriate...

This chapter puts forward a manual for how to setup and solve a continuous time model that allows to analyze endogenous (1) level and risk dynamics. The latter includes (2) tail risk and crisis probability as well as (3) the Volatility Paradox. Concepts such as (4) illiquidity and liquidity...

Dynamic stochastic general equilibrium models with ex-post heterogeneity due to idiosyncratic risk have to be solved numerically. This is a nontrivial task as the cross-sectional distribution of endogenous variables becomes an element of the state space due to aggregate risk. Existing global...

We present a simple approach to transform a deterministic numerical model, where several agents simultaneously make decisions, into a stochastic model. This approach, which builds on scenario aggregation, a numerical method developed to solve decision problems under uncertainty, is used to build...

The theoretical literature presumes generational risk is large enough to merit study and that such risk can be meaningfully shared via appropriate government policy. This paper questions these propositions. It develops an 80-period OLG model to directly measure generational risk and the extent...

The theoretical literature presumes generational risk is large enough to merit study and that such risk can be meaningfully shared via appropriate government policies. This paper assesses these propositions. It develops a computational technique to overcome the curse of dimensionality and...

We present a simple approach to transform a deterministic numerical model, where several agents simultaneously make decisions, into a stochastic model. This approach, which builds on scenario aggregation, a numerical method developed to solve decision problems under uncertainty, is used to build...

Die Abhandlung zeigt für wiederholbare Prozesse eine universell anwendbare Ableitung eines Rechenalgorhithmus auf, mit dem unter Annahme einer Wahrscheinlichkeitsverteilung mögliche Plan-Istabweichungen und Aufallkosten zu einem Gleichgewicht und damit zu einem Ergebnisoptimunm führen....

To analyze the economic significance of pricing errors of stock index options, a system of linear inequalities is developed which completely characterizes all risk arbitrage opportunities which arise if a well-behaved pricing kernel does not exist. The Stochastic Arbitrage system can account for...

Discrete-time stochastic models of groundwater management have been extensively used for understanding a variety of issues in groundwater management for agriculture. Most models used suffer from two drawbacks: relatively simplistic treatment of extraction cost (remarked in many papers in the...