generalize earlier known results concerning the existence (or the characterization) of maximal elements of binary relations on …

direct assumption that preferences have maximal elements on a fixed agenda. We show that the core of a simple game is … core without majority dissatisfaction depends only onthe players' sets of maximal elements and is included in the union of …

usual choice functions and the set of maximal elements in weak tournaments. We introduce choice functions selecting maximal … elements, whenever they exist. Moreover, we compare these choice functions with those that already exist in the literature. …

In the present paper, the existence of maximal elements for binary relations are studied. Generalized lexicographic … relations are introduced, and some results on existence of maximal elements are provided. A simple example shows that economies …

On analyzing the problem that arises whenever the set of maximal elements is large, and aselection is then required …

In a choice situation, it is usually assumed that the agents select the maximal elements inaccordance with their … elements, but we can say that x2 is a better maximalthan x1. In this paper we define selections of the set of maximal elements … that x1 is indifferent to each alternative and x2 is strictly preferred to everyxi,i >=3. Both x1 and x2 are maximal …

therefore the existence of maximal elements of the binary relation. …

covers both ways (convexity and acyclicity) of analyzing the problem of existence of maximal elements of non transitive …