A Mathematical Model of Third Party Intermediary for Conflict Resolution Process Where There Is Minimal or No Trust

Conflicts characterized by minimal or absent trust present a significant challenge for resolution. Traditional methods, such as GRIT (Graduated Reciprocation in Tension-reduction), often rely on a degree of pre-existing willingness to engage, which may be lacking in deeply entrenched disputes [1-3]. This article explores the critical role of a third-party intermediary in such scenarios, focusing on the modelling of their actions. We delve into the unique functions required to bridge the trust deficit, including establishing credibility, facilitating communication, and designing mechanisms for verifiable commitment. The article outlines key principles for effective intermediation, emphasizing the need for impartiality, process management, and the creation of a safe space for dialogue. By examining the significance of third-party intervention in these challenging contexts, we aim to provide a framework for practitioners and researchers seeking to navigate and resolve conflicts where trust is severely compromised [2, 3].