Core concepts of the interdisciplinary social science field of conflict analysis and resolution (CAR) are discussed. Work in the field is based on numerous generally accepted ideas about the nature of conflict and constructive approaches to conflict. These ideas include ways of waging conflicts constructively, tracing the interconnectedness of conflicts, and assessing the multiplicity of actors. Other important core concepts relate to stages of conflicts: emergence, escalation, de-escalation and settlement, and sustaining peace. Finally, current and future issues regarding CAR conceptualizations and their applications are examined.