160 research outputs found
Fuzzy games with a countable space of actions and applications to systems of generalized quasi-variational inequalities
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 applications, two types of results are obtained. The
first ones concern the existence of the solutions for systems of generalized
quasi-variational inequalities with random fuzzy mappings which we define. The
last ones are new random fixed point theorems for correspondences with values
in complete countable metric spaces.Comment: 18 page
New results on systems of generalized vector quasi-equilibrium problems
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 vector quasi-equilibrium problems with multivalued
trifunctions. Secondly, we consider the generalized strong vector
quasi-equilibrium problems and study the existence of their solutions in the
case when the correspondences are weakly naturally quasi-concave or weakly
biconvex and also in the case of weak-continuity assumptions. In all
situations, fixed-point theorems are used.Comment: 24 page
How regular can maxitive measures be?
We examine domain-valued maxitive measures defined on the Borel subsets of a
topological space. Several characterizations of regularity of maxitive measures
are proved, depending on the structure of the topological space. Since every
regular maxitive measure is completely maxitive, this yields sufficient
conditions for the existence of a cardinal density. We also show that every
outer-continuous maxitive measure can be decomposed as the supremum of a
regular maxitive measure and a maxitive measure that vanishes on compact
subsets under appropriate conditions.Comment: 24 page
A new equilibrium existence theorem for abstract fuzzy economies
AbstractIn this paper, we show a new equilibrium existence theorem for abstract fuzzy economies with uncountable number of agents with fuzzy constraint correspondences and fuzzy preference correspondence, and give a new existence theorem of maximal element for qualitative fuzzy games with uncountable number of players with fuzzy preference correspondence
- …