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To accomplish a task that requires collaboration, people would first agree on a strategy and then together carry it out [1]. Our research interest lies in understanding how people explore different strategies and reach an agreement in conversation. We began by examining two-person dialogues in a very limited domain, in which we could just focus on the agreement process. In this paper, we describe an annotation scheme of coding the conversants behaviors of exploring possible strategies, suggesting and accepting the optimal one, and then maintaining it. We report the inter-coder reliability of the annotation scheme on three expert annotators and two non-experts.