most citedExistence of equilibrium for multiobjective games in abstract convex spaces

8 citations · 26 across the 11 of their papers we have counts for

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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.OC20137 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.OC20135 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.OC20138 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…