We derive the implications from the absence of arbitrage in dynamic securities markets with bid-ask spreads. The absence of arbitrage is equivalent to the existence of at least an equivalent probability measure that transforms some process between the bid and the ask price processes of traded...

In this paper we prove the existence of general equilibrium with transaction costs generalizing Hahn's (Review of Economic Studies, 1973, 40, 449-461) model by introducing producers and nonconvexities (in particular we allow for increasing returns in transaction sets). We also recover any...

In this paper we study the stability (in the L^{p} as well as for the almost sure convergence sense) of the optimal investment-consumption strategy with respect to the choice of the utility function.

Kimball, 1990a and Kimball, 1990b established that income risk increases the marginal propensity to consume if and only if absolute prudence decreases. We characterize decreasing and increasing multivariate prudence and show that a multidimensional risk increases the marginal propensity to...

This paper derives the properties of the discount rate that should be applied to a public-sector project when the affected population has heterogeneous degrees of impatience. We show that, for any distribution of discount rates, the social discount rate has the following properties: it decreases...

We consider in this paper two Markovian processes X and Y , solutions of a stochastic differential equation with jumps, that are comonotonic, i.e., that are such that for all t , almost surely, Xt is greater in one state of the world than in another if and only if the same is true for Yt . This...

This paper shows topological properties of the graph of the Walras correspondence such as connectedness and simple connectedness for economies with production.