Suppose we replace "knowledge" by "belief with probability p" in standard definitions of common knowledge. Very … different notions arise depending on the exact definition of common knowledge used in the substitution. This paper demonstrates … information games, best response dynamics in incomplete information games, and agreeing to disagree/no trade results …

One approach to representing knowledge or belief of agents, used by economists and computer scientists, involves an …

Common knowledge can be defined in at least two ways: syntactically as the common knowledge of a set of formulas or … semantically, as the meet of the knowledge partitions of the agents. In the multi-agent S5 logic with either finitely or countably … held in common knowledge, there is either only one member or uncountably many members of the meet partition with this …

hypothetical knowledge and the extended information structures used to model it bear some resemblance to the way philosophers have …Samet introduced a notion of hypothetical knowledge and showed how it could be used to capture the type of … counterfactual reasoning necessary to force the backwards induction solution in a game of perfect information. He argued that while …

In Bayesian environments with private information, as described by the types of Harsanyi, how can types of agents be … (statistically) disassociated from each other and how are such disassociations reflected in the agents’ knowledge structure … disassociation under common knowledge (the agents’ types are independent, conditional on some common-knowledge variable). Subjective …

desired coordination of actions even when a high order of mutual knowledge of payoff functions obtains. We want to make … explicit the role of knowledge about rationality of players, not only that of payoff functions. For this purpose, we use an … embedding belief systems, it is necessary that the upper bound order of mutual knowledge of payoff functions exceeds the upper …

desired coordination of actions even when a high order of mutual knowledge of payoff functions obtains. We want to make … explicit the role of knowledge about rationality of players, not only that of payoff functions. For this purpose, we use an … embedding belief systems, it is necessary that the upper bound order of mutual knowledge of payoff functions exceeds the upper …