The possibility for agents to agree to disagree is considered in an extended epistemic-topological framework. In such an enriched context, Aumann's impossibility theorem is shown to no longer hold. More precisely, agents with a common prior belief satisfying limit knowledge instead of common knowledge of their posterior beliefs may actually entertain distinct posterior beliefs. Hence, agents can actually agree to disagree. In particular, agreeing to disagree with limit knowledge is illustrated within a representative epistemic-topological situation. © 2011 Springer-Verlag.
CITATION STYLE
Bach, C. W., & Cabessa, J. (2011). Agreeing to disagree with limit knowledge. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6953 LNAI, pp. 51–60). https://doi.org/10.1007/978-3-642-24130-7_3
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