The Ontology of Cooperation: Unifying Godel's Proof and the Prisoner's Dilemma in the Infinite Horizon

Abstract

This paper proposes a formal unification between the metaphysical logic of Kurt Godel’s Ontological Proof and the dynamic outcomes of Game Theory through the Iterated Prisoner’s Dilemma. By employing higher-order modal logic, we demonstrate that pure selfishness is mathematically unsustainable in the infinite horizon, whereas cooperation emerges as a necessary positive property and the signature of a universal organizing principle.