Mutual knowledge (logic)

Mutual knowledge (logic)

Mutual knowledge is a fundamental concept about information in game theory and logic. An event is mutual knowledge if all agents know that the event occurred [1]:73. However, mutual knowledge by itself implies nothing about what agents know about other agents' knowledge: i.e. it is possible that an event is common knowledge but that each agent is unaware that the other agents know it has occurred[2]. Common knowledge is a related but stronger notion in that any event that is common knowledge is also mutual knowledge.

References

  1. ^ Osborne, Martin J., and Ariel Rubinstein. A Course in Game Theory. Cambridge, MA: MIT, 1994. Print.
  2. ^ Peter Vanderschraaf, Giacomo Sillari (2007). Common Knowledge. Stanford Encyclopedia of Philosophy. Accessed 18 November, 2011.

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