All they know in turn

نویسنده

  • Yifeng Chen
چکیده

This paper studies the reasoning of non-knowledge for multiple agents. In a multi-agent environment, agents may derive knowledge from the observation that other agents do not know a fact. That means normally there does not exist a vector of maximum relations that reflect the minimum knowledge (i.e. only knowing) of all agents. In this paper, we introduce a causal relation to characterize the appropriate order in which we determine the minimum knowledge of each agent. We base our formalism on relational calculus. The technique will be applied to solve the puzzle of Unfaithful Wives. We reveal an assumption about the puzzle that is implicitly used but unnoticed in previous research. It is shown that determining only-knowing in accordance with the causal relation will avoid incorrect reasoning against the assumption.

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تاریخ انتشار 2003