In a pure exchange economy, we definie a new concept of local equilibria where the consumers are restricted by sale constraints. So the equilibrium consumptions are close to the initial endowments. We prove that the local equilibrium is always unique when utility functions are smooth and the...

The purpose of this paper is to define a new notion of local equilibrium in an exchange economy, where the consumers face lower bounds on net trades. Then, we show that the local equilibrium is unique if the lower bounds are closed enough to 0. By the way, we also provides a convergence result...

In an exchange economy, we provide a discrete exchange process, which is Walrasian since the trades are given by the equilibrium allocation of the local equilibrium. We prove that this process attains a Pareto optimal allocation after a finite number of steps and the local equilibrium price then...

In an exchange economy, we define a discrete exchange process, which is Walrasian, since the trades are determined by the equilibrium allocation of the local equilibrium. We prove that this process attains a Pareto optimal allocation after a finite number of steps and the local equilibrium price...

In an exchange economy, we provide a discrete exchange process, which is Walrasian since the trades are given by the equilibrium allocation of the local equilibrium. We prove that this process attains a Pareto optimal allocation after a finite number of steps and the local equilibrium price then...

The purpose of this paper is to define a new notion of local equilibrium in an exchange economy, where the consumers face lower bounds on net trades. Then, we show that the local equilibrium is unique if the lower bounds are closed enough to 0. By the way, we also provide a convergence result of...