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Approximate Common Knowledge Revisited

  • Stephen Morris

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 those differences and identifies which notion is relevant in each of three contexts: equilibrium analysis in incomplete information games, best response dynamics in incomplete information games, and agreeing to disagree/no trade results.

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Paper provided by Penn Economics Department in its series Penn CARESS Working Papers with number 6be11f49fbded40b2a623aebfa5361c6.

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Handle: RePEc:cla:penntw:6be11f49fbded40b2a623aebfa5361c6
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