Abstract : The Logics of Formal Inconsistency are logics tolerant to some amount of inconsistency, but in which some versions of explosion still hold. The main result of this paper is a reconstruction of two such logics in the dialogical framework. By doing so, we achieve two things. On the one hand, we provide a formal approach to argumentative situations where some inconsistencies may occur while keeping the idea that there may still be situations in which some propositions are " safe " in the sense of immunity to the contradictions. On the other hand, we open a new line of study on these logics, in the context of the game-theoretical approach to semantics born in the 1960s, with various interesting perspectives, some of which are discussed at the end of this article.
