Approximate common knowledge revisited

Stephen Morris

doi:10.1007/s001820050116

Approximate common knowledge revisited

Stephen Morris

Research output: Contribution to journal › Review article › peer-review

14 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	385-408
Number of pages	24
Journal	International Journal of Game Theory
Volume	28
Issue number	3
DOIs	https://doi.org/10.1007/s001820050116
State	Published - Aug 1999

All Science Journal Classification (ASJC) codes

Statistics and Probability
Mathematics (miscellaneous)
Social Sciences (miscellaneous)
Economics and Econometrics
Statistics, Probability and Uncertainty

Keywords

Agreeing to disagree
Common knowledge

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10.1007/s001820050116

Cite this

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AB - 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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Approximate common knowledge revisited

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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