The existence of an equilibrium in an extended Walrasian economic model of exchange is confirmed constructively, under broad assumptions , by an iterative process. In this process, truncated variational inequality problems are solved in which the agents' budget constraints are furnished with a penalty representation. Epi-convergence arguments are used to… (More)
We establish, in innnite dimensional Banach space, a nonconvex separation property for general closed sets that is an extension of Hahn-Banach separation theorem. We provide some consequences in optimization, in particular the existence of singular multipliers and show the relation of our principle with the extremal principle of Mordukhovich.
An SLA/Contract is an agreement between a client and a service provider. It specifies desired levels of service and penalties in case of default. The objective of this work is to develop a mathematical model for the negotiation process before agreeing to an SLA. The model will be based on Game Theory models of signaling games. The idea is to try to capture… (More)
We explore convergence notions for bivariate functions that yield convergence and stability results for their maxinf (or minsup) points. This lays the foundations for the study of the stability of solutions to variational inequalities, the solutions of inclusions, of Nash equilibrium points of non-cooperative games and Walras economic equilibrium points, of… (More)
This work presents a novel day-ahead energy acquisition model for a distribution company (DisCo) in a competitive market based on Pool and financial bilateral contracts. The market structure encompasses wholesale generation companies, distributed generation (DG) units of independent producers, DG units owned by the DisCo, and load curtailment options. Thus,… (More)
It's shown that a number of variational problems can be cast as finding the maxinf-points (or minsup-points) of bivariate functions, coveniently abbreviated to bifunctions. These variational problems include: linear and nonlinear complementarity problems, fixed points, variational inequalities, inclusions, non-cooperative games, Walras and Nash equilibrium… (More)
In an economic model of exchange of goods, the preference structure can be specified by utility functions. Under utility conditions identified here more broadly than usual, except for concavity in place of quasi-concavity, every equilibrium will be stable in a doubly local sense with respect to shifts in the agent's holdings and Walrasian tâtonnement. This… (More)
The existence of an equilibrium in an extended Walrasian economic model of exchange is confirmed constructively by an iterative scheme. In this scheme, truncated variational inequality problems are solved in which the agents' budget constraints are relaxed by a penalty representation. Epi-convergence arguments are employed to show that, in the limit, a… (More)