The traditional model of sequential decision making, for instance, in extensive form games, is a tree. Most texts define a tree as a connected directed graph without loops and a distinguished node, called the root. But an abstract graph is not a domain for decision theory. Decision theory...

We correct a misspecified property in "Trees and Extensive Forms'', Journal of Economic Theory 143 (2008), 216-250. As a consequence a few proofs need to be adjusted, and a few statements need to be adapted. Two minor results, which are not needed for the proofs of the main results, do not hold...

We model a player's uncertainty about other players' strategy choices as smooth probability distributions over their strategy sets. We call a strategy profile (strictly) robust to strategic uncertainty if it is the limit, as uncertainty vanishes, of some sequence (all sequences) of strategy...