Equilibrium analysis of Kantorovich spaces.
Equilibrium points of random generalized games.
Existence of equilibria in finitely additive nonatomic coalition production economies.
Exponential wealth distribution : a new approach from functional iteration theory*
Different approaches are possible in order to derive the exponential regime in statistical systems. Here, a new functional equation is proposed in an economic context to explain the wealth exponential distribution. Concretely, the new iteration [1] given byIt is found that the exponential distribution is a stable fixed point of this functional iteration equation. From this point of view, it is easily understood why the exponential wealth distribution (or by extension, other kind of distributions)...
Fixed points and generalized vector equilibra in general topological spaces.
Fixed points, equilibria and maximal elements in linear topological spaces
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems.
General exchange economy
Inefficient equilibria in transition economy.
La théorie mathématique de l'équilibre économique : extension du modèle de Arrow-Debreu au cadre non convexe
Large games with only small players and finite strategy sets
Large games of kind considered in the present paper (LSF-games) directly generalize the usual concept of n-matrix games; the notion is related to games with a continuum of players and anonymous games with finitely many types of players, finitely many available actions and distribution dependent payoffs; however, there is no need to introduce a distribution on the set of types. Relevant features of equilibrium distributions are studied by means of fixed point, nonlinear complementarity and constrained...
L'importance des réseaux en économie
Locational equilibrium of two facilities on a tree
Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Mixed variational inequalities and economic equilibrium problems.
Modified golden ratio algorithms for pseudomonotone equilibrium problems and variational inequalities
We propose a modification of the golden ratio algorithm for solving pseudomonotone equilibrium problems with a Lipschitz-type condition in Hilbert spaces. A new non-monotone stepsize rule is used in the method. Without such an additional condition, the theorem of weak convergence is proved. Furthermore, with strongly pseudomonotone condition, the $R$-linear convergence rate of the method is established. The results obtained are applied to a variational inequality problem, and the convergence rate...
New existence of equilibria via connectedness.
New versions of the Fan-Browder fixed point theorem and existence of economic equilibria.
Non-compact random generalized games and random quasi-variational inequalities.
Nonempty intersection theorems minimax theorems with applications in generalized interval spaces.