<< 'Morning everybody,
"Epimenides lies iff everybody lies!" which
I am taking to be the predicative version of
the uncooperative rational player. >>
Presentation and formal development (in Coq):
https://gist.github.com/jp-diegidio/f9a18bb0a8c87d585b1d56458cd082f6
[1] Wikipedia, "Epimenides paradox"
https://en.wikipedia.org/wiki/Epimenides_paradox
[2] Wikipedia, "Non-cooperative game theory"
https://en.wikipedia.org/wiki/Non-cooperative_game_theory