We give a functional description of the space of stochastic integrals with respect to a given family of martingales, based on the notion of direct integral of Hilbert spaces. We define the multiplicity function of a filtration and show, using our Hilbert space construction, that the multiplicity...

This study presents an approach based on a perturbation technique to construct global solutions to dynamic stochastic general equilibrium models (DSGE). The main idea is to expand a solution in a series of powers of a small parameter scaling the uncertainty in the economy around a solution to...

We define a continuous-time trading process for Arrow-Debreu exchange economies such that (1) At each time, myopic traders play a (weakly) dominant strategy in Mertens' (2003) limit price strategic market game ; (2) existence of continuous trade curves holds under weak conditions and in...

Static competitive equilibria in economies with incomplete markets are generically constrained suboptimal. Allocations induced by strategic equilibria of imperfectly competitive markets are also generically inefficient. In both cases, there is scope for Pareto-improving amendments. Considering...

In this paper we consider a class of pure exchange economies in which the consumption plans may be restricted to be above a minimal level. This class is parameterised by the initial endowments and the constraints on the consumption. We show that the demand functions are locally Lipschitzian and...

In this paper we consider a class of pure exchange economies in which the consumption plans may be restricted to be above a minimal level. This class is parameterised by the initial endowments and the constraints on the consumption. We show that the demand functions are locally Lipschitzian and...

In this paper, we develop a framework for the formulation, analysis, and computation of solutions to spatial network problems in which the firms are multicriteria decision-makers and the consumers are as well. In particular, the firms, which are involved in the production of a homogeneous...

This paper constructs a model of an exchange economy in which bankruptcy arises in a manner similar to what we observe. Compared to related models, this model is a more realistic representation of some markets in which intertemporal assets are traded. Using standard and natural assumptions, it...

We consider a model with an finite number of states of nature where short sells are allowed.