> there must be some fixed-point you can reach if you take into account that your predictions become public. Yes, in a few different ways I think. You have to

> there must be some fixed-point you can reach if you take into account that your predictions become public. Yes, in a few different ways I think. You have to make predictions or, equivalently, employ strategies that do not depend on secrecy. E.g. "evolutionarily stable strategy" (ESS). A strategy that does well in the presence of copies of itself (and mutants.) https://en.wikipedia.org/wiki/Evolutionarily_stable_strategy https://en.wikipedia.org/wiki/Evolutionarily_stable_strategy Any business that does not depend on secrecy could be considered an example. (There's an old hippie business book "Honest Business: A Superior Strategy for Starting and Managing Your Own Business" by Salli Rasberry and Michael Phillips https://en.wikipedia.org/wiki/Michael_Phillips_(consultant) https://en.wikipedia.org/wiki/Michael_Phillips_(consultant) "a founder of the Briarpatch Network. As a banker in 1967 he organized Mastercard.") You can e.g. buy a fax machine and encourage other people to get them too. The classic network effect: "the phenomenon by which the value or utility a user derives from a good or service depends on the number of users of compatible products. Network effects are typically positive, resulting in a given user deriving more value from a product as more users join the same network" https://en.wikipedia.org/wiki/Network_effect https://en.wikipedia.org/wiki/Network_effect