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 ...

Nash equilibrium lies at the heart of game theory, representing a condition in which every participant chooses a strategy that optimises their individual outcome given the strategies of the others.

These days, I feel like my existence is split between the abstract and the concrete. On Tuesday mornings, I debate vast, vague ideas that swirl at the foundations of ethics and moral thought in my ...

We prove existence of a positive solution for a system of non-variational bi-harmonic equations. Furthermore, we give some a priori estimates of solutions and a non-existence result. In addition we ...