In a multi-period, multi-commodity economy with stock markets, we try to extend the work of Drèze (1974) to define the behaviour of the firms. We exhibit first order necessary conditions for a constrained Pareto optimal allocation. The financial constraints lead to non-collinear supporting spot...

The paper extends the Drèze's Criterion [Investment under private ownership : optimality, equilibrium and stability, in «Allocation under Uncertainty ; Equilibrium and Optimality», Wiley, New York, 1974, p.129] for firms to non-smooth and non-convex technologies and to non-ordered preferences...

The note explores a vertical differentiation model with continuous non-uniform consumers' distribution. First some results concerning the finiteness property obtained with uniform consumers' distribution are generalized. Second we prove an existence result of price equilibrium when the...

In the spirit of Smale's work, we consider a pure exchange economy with general consumption sets. We consider the case in which the consumption set of each household is described in terms of an inequality on a function called possibility function. The possibility function represents the...

We study welfare and core equivalence for a competitive equilibrium defined on an economy where all commodities are indivisible at the individual level, but perfectly divisible at the aggregate level. In our model is assumed that thereexists a continuum parameter, which can be interpreted as...

In an exchange economy with only private consumption goods we propose acompetitive mechanism to reach any income distribution. We introduce the socalled consumption rights, which is a real parameter that modifies thebudgetaryconstraint of individuals but does not participate in the utility...

We study economies where all commodities are indivisible at the individual level, but perfectly divisible at the aggregate level. Under general hypotheses over the economy, the ain contribution of this paper is the prove that a rationing equilibrium converge to aWalrasian equilibrium of a limit...

Although fiat money is useless in standard Arrow-Debreu models, in this paper we will show that this general conclusion does not hold true when goods are indivisible. In our setting, fiat money is valuable because it facilitates exchange, its price will always be positive and equilibrium...