The Harsanyi transformation provides a way to represent games with this trait as extensive games having an imperfect corresponding trait. For 10 points each:
[10m] Name this trait that characterizes Bayesian games.
ANSWER: incomplete information [accept answers indicating that information is not complete]
[10e] One restriction on Bayesian games is that all players must follow this concept. In game theory, this kind of “choice” refers to picking the best option in a cost-benefit analysis.
ANSWER: rationality [accept word forms like rationally]
[10h] Games of incomplete information involve this player, who acts equivalently to a random number generator when moving at decision nodes.
ANSWER: nature [or the state of nature; prompt on chance]
<Benjamin McAvoy-Bickford, Other Science>