Equilibria and maximal elements of abstract fuzzy economies and qualitative fuzzy games (Q1602883)

The authors consider an abstract exchange economy when the choice set is a topological space without a linear structure and there is a finite or infinite set of agents. Preferences and constraints in this economy are defined in terms of fuzzy correspondences. The existence of an equilibrium of such an economy is proved assuming and using connectednes of certain of its elements instead of convexity. Similarly qualitative fuzzy games are defined and the existence of its maximal elements is proved.