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20132016
most citedExistence of equilibrium for multiobjective games in abstract convex spaces

8 citations · 33 across the 21 of their papers we have counts for

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Showing 2013 · math.OCShow all

15 papers · 2 filters

math.OC2013

Fuzzy games with a countable space of actions and applications to systems of generalized quasi-variational inequalities

Monica Patriche

In this paper, we introduce an abstract fuzzy economy (generalized fuzzy game) model with a countable space of actions and we study the existence of the fuzzy equilibrium. As appli…

math.OC2013

New results on systems of generalized vector quasi-equilibrium problems

Monica Patriche

In this paper, we firstly prove the existence of the equilibrium for the generalized abstract economy. We apply these results to show the existence of solutions for systems of vect…

math.OC2013

On a new class of systems of generalized quasy-variational inequalities

Monica Patriche

We introduce new types of systems of generalized quasi-variational inequalities and we prove the existence of the solutions by using results of pair equilibrium existence for free…

math.OC2013

Fuzzy equilibrium existence for Bayesian abstract fuzzy economies and applications to random quasi-variational inequalities with random fuzzy mappings

Monica Patriche

In this paper, we introduce a Bayesian abstract fuzzy economy model and we prove the Bayesian fuzzy equilibrium existence. As applications, we prove the existence of the solutions…

math.OC2013

Bayesian abstract fuzzy economies, random quasi-variational inequalities with random fuzzy mappings and random fixed point theorems

Monica Patriche

In this paper, we introduce an abstract fuzzy economy model with a measure space of agents which generalizes Patriche's model (2009), we obtain a theorem of fuzzy equilibrium exist…

math.OC2013

A Fixed Point Theorem and Equilibria of Abstract Economies with w-Upper Semicontinuous Set-Valued Maps

Carlos Hervés-Beloso, Monica Patriche

We introduce the notion of w-upper semicontinuous set valued maps and give a new fixed-point theorem. We also introduce the notion of set valued maps with e-USS-property. These res…

math.OC2013★ 7 cited

Fixed point theorems for nonconvex valued correspondences and applications in game theory

Monica Patriche

In this paper, we introduce several types of correspondences: weakly naturally quasiconvex, *-weakly naturally quasiconvex, weakly biconvex and correspondences with *--weakly conve…

math.OC2013★ 5 cited

Existence of equilibrium for an abstract economy with private information and a countable space of actions

Monica Patriche

We define the model of an abstract economy with private information and a countable set of actions. We generalize the H. Yu and Z. Zhang's model (2007), considering that each agent…

math.OC2013★ 5 cited

Minimax theorems for set-valued maps without continuity assumptions

Monica Patriche

We introduce several classes of set-valued maps with generalized convexity. We obtain minimax theorems for set-valued maps which satisfy the introduced properties and are not conti…

math.OC2013★ 8 cited

Existence of equilibrium for multiobjective games in abstract convex spaces

Monica Patriche

In this paper we use the minimax inequalities obtained by S. Park (2011) to prove the existence of weighted Nash equilibria and Pareto Nash equilibria of a multiobjective game defi…

math.OC2013

The core of the games with fractional linear utility functions

Monica Patriche

We consider fractional linear programming production games for the single-objective and multiobjective cases. We use the method of Chakraborty and Gupta (2002) in order to transfor…

math.OC2013

New results on equilibria of fuzzy abstract economies

Monica Patriche

We obtain new equilibrium theorems for fuzzy abstract economies with correspondences being w-upper semicontinuous or having e-USS-property.

math.OC2013

On the maximal reduction of games

Monica Patriche

We study the conditions under which the iterated elimination of strictly dominated strategies is order independent and we identify a class of discontinuous games for which order do…

math.OC2013★ 6 cited

Fixed Point Theorems and applications in Theory of Games

Monica Patriche

We introduce the notions of weakly *-concave and weakly naturally quasi-concave correspondence and prove fixed point theorems and continuous selection theorems for these kind of co…

math.OC2013

Equilibrium existence results for a class of discontinuous games

Monica Patriche

We introduce the notions of w-lower semicontinuous and almost w-lower semicontinuous correspondence with respect to a given set and prove a new fixed-point theorem. We also introdu…