This paper extends the well-known KKM theorem and variational inequalities by relaxing the closedness of values of a correspondence and lower semicontinuity of a function. The approach adopted is based on Michael's continuous selection theorem. As applications, we provide theorems for the...

Рассмотрено использование различных видов графов при моделировании процессов управления организациями промышленности, в частности, при оптимизации на графах,...

Предлагается автоматный подход к идентификации и разрешению конфликтов в организационных системах, синтезирующий «языковую технику» теории игр и ее...

This paper systematically studies the existence of maximal elements for unordered binary relation on compact or noncompact sets in a general topological space. This is done by developing a method, called transfer method, to derive various necessary and sufficient conditions that characterize the...

We provide a new characterization of binary relations that have an open graph. This result is applicable to any binary relation on any topological space. The relationship of this new theorem to several known results for binary relations used for preference representation, namely strict partial...

This paper examines two problems associated with the use of potential Pareto criteria in welfare economics. The first problem is the well-known intransitivity of the compensation criteria Á la Kaldor-Hicks-Scitovsky. The second problem is the possible incompatibility between the...

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 with "lexicographic consumers" need not have...