Mutual and common knowledge: because simulating someone else simulating you is confusing…perhaps usefully so….
A spreadsheet tabulating the results of the 2/3rds game after 2 weeks: https://l.facebook.com/l.php?u=https%3A%2F%2Fdrive.google.com%2Fopen%3Fid%3D1drE-dzmlkvJFviPRBbdg8QX6kTDHCUMAandh=AT3flhWGhrgwY77HbYWM5BnQv7HvlJbntWm_BvLtjBod5gAytmitJukcvZdGp6Zb8GdqeWvw2fA655ts8ElahvcdA_kbuKYqlHTJ6fXmJl4A_qkNjlR70rWW82346NyeHEKKaU3qm4ykFbQtXGy-8AOhxvggxEzm77OpMjcittPFYWISvOqnKYXchC8o6lFmEO8q3pnbd2RBVnurMqMuce154N8RmL6rcmhTtdlnWiFohzcfcDfMEuZqE3Kdwuj9WXo-NEF-1JVMosxzEyW07EyJ8-C4OK_xaJN5xg4gxQbXS6u0zf8Pfe9KZxDf-1WjjhVd_Zxj6ievKS_s6AaRI-uJp6oyChMutptAnLp1
Common Knowledge and Aumann’s Agreement Theorem, by Scott Aaronson - https://www.scottaaronson.com/blog/?p=2410
Common Knowledge (Vanderschraaf and Sillari, 2014) - https://plato.stanford.edu/entries/common-knowledge/
The Psychology of Common Knowledge and Coordination (Thomas et al, 2014) - https://dash.harvard.edu/bitstream/handle/1/14330738/The%20Psychology%20of%20Common%20Knowledge%20and%20Coordination_Thomas%20DeScioli%20Haque%20%26%20Pinker.pdf?sequence=1
Bystander “Apathy” (Latane and Darley, 1969) - https://greatergood.berkeley.edu/images/uploads/Latane-BystanderApathy.pdf
The logic of indirect speech (Pinker et al, 2008) - https://stevenpinker.com/publications/logic-indirect-speech