This study develops two hypergame-models of intra-and inter-state conflicts within one coherent conflict management approach, modeling conflicts while considering the complexity of real-world circumstances. The aim is to apply theories of IR and media fields, composing a merged diplomatic-strategic approach for achieving peace rather than war within and inter-nations. Using the hypergame theory as a theoretical-methodological basis for modeling, we stand firmly at some equilibria positions, specifying the modality of achieving positive peace as a “win-win” formula nationally, regionally, and globally, thence strategizing a balance of peace-state of intra-and-inter-state conflicts. It can be argued that this study’s (Positivity of Peace Hypergame Model)’s fundamental equilibrium is equivalently equal to the dual formula of (Global Hegemony of Peace Versus Realist Hegemony of War’s Inevitability) as proved strategically, applicably through our provided equations. Also, a (Balance of Peace-State Hypergame Model)’s equilibria of intra-state conflicts occur at the (Mini-Maximum Equilibrium) and (Nash Equilibrium) positions. Simultaneously, this model’s solution points of the inter-state conflicts are achieved parallelly with the occurrence of three Nash equilibria, where the success of a peace process might be “limited, normal, or multiplied” as given within its relevant equations.