Reasoning about knowledge
Graphical Models for Game Theory
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
Resource selection games with unknown number of players
AAMAS '06 Proceedings of the fifth international joint conference on Autonomous agents and multiagent systems
Comparing the notions of optimality in CP-nets, strategic games and soft constraints
Annals of Mathematics and Artificial Intelligence
Common knowledge in interaction structures
Proceedings of the 12th Conference on Theoretical Aspects of Rationality and Knowledge
Distributed iterated elimination of strictly dominated strategies
Autonomous Agents and Multi-Agent Systems
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We study games in the presence of an interaction structure, which allows players to communicate their preferences, assuming that each player initially only knows his own preferences. We study the outcomes of iterated elimination of strictly dominated strategies (IESDS) that can be obtained in any given state of communication. We also give epistemic foundations for these "intermediate" IESDS outcomes. This involves firstly describing the knowledge that the players would have in any state of communication, using the framework from Apt et al. [3]. We then prove that when there is common knowledge of rationality, each intermediate outcome is entailed by the knowledge in the relevant state of communication.