Existence theorems constitute a fundamental pillar in the study of game theory and exchange economies. These theorems rigorously establish the conditions under which equilibria or stable outcomes ...

The Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special ...

A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof. Four years ago, the mathematician Maria Chudnovsky faced an all-too ...