This paper develops theoretical foundations for an error analysis of approximate equilibria in dynamic stochastic general equilibrium models with heterogeneous agents and incomplete financial markets. While there are several algorithms which compute prices and allocations for which agents' first...

In a three-period finite competitive exchange economy with incomplete financial markets and retrading, we study the possibility of controlling asset price volatility through financial innovation. We first give sufficient conditions on preferences and endowments implying that whatever is the...

We assess the quantitative implications of collateral re-use on leverage, volatility, and welfare within an infinite-horizon asset-pricing model with heterogeneous agents. In our model, the ability of agents to reuse frees up collateral that can be used to back more transactions. Re-use thus...

This paper develops a method to compute the equilibrium correspondence for exchangeeconomies with semi-algebraic preferences. Given a class of semi-algebraic exchange economiesparameterized by individual endowments and possibly other exogenous variables such as prefer-ence parameters or asset...

Multiplicity of equilibria is a prevalent problem in many economic models. Oftenequilibria are characterized as solutions to a system of polynomial equations. This pa-per gives an introduction to the application of GrÄobner basis methods for ¯nding allsolutions of a polynomial system. The...