Two-person games induced by pentapartitioned Neutrosophic Payoffs

Two-person games have been extensively studied in classical game theory, but uncertainty and imprecision in real-world scenarios necessitate more advanced mathematical frameworks. Pentapartitioned Neutrosophic sets, provide a powerful tool for handling contradiction, ignorance, unknown, and inconsistent information. This paper explores two-person games in a Pentapartitioned Neutrosophic environment, where players’ strategies, payoffs, and outcomes are expressed using Pentapartitioned Neutrosophic numbers. We present fundamental definitions, solution concepts, and equilibrium conditions tailored for such games. The findings demonstrate that Pentapartitioned Neutrosophic game theory provides a more flexible and realistic approach to strategic interactions involving indeterminacy.

Keywords:

Pentapartitioned Neutrosophic set , Pentapartitioned Neutrosophic Game theory , Two person Games , Pentapartitioned Neutrosophic two person games