In order to model the subjective uncertainty of a player over the behavior strategies of an opponent, one must consider the player i’s beliefs about the opponents’ play at information sets that player i thinks have probability 0. This erratum uses “trembles” to provide a definition of the convex hull of a set of behavior strategies. This corrects a definition we gave in [5], which led two of th...

In order to model the subjective uncertainty of a player over the behavior strategies of an opponent, one must consider the player i’s beliefs about the opponents’ play at information sets that player i thinks have probability 0. This erratum uses “trembles” to provide a definition of the convex hull of a set of behavior strategies. This corrects a definition we gave in [5], which led two of th...

A necessary and suucient condition is proposed for the existence of a xed polynomial p(s) such that the rational function p(s)=q(s) is robustly strictly positive real when q(s) is a given Hurwitz polynomial with polytopic uncertainty. It turns out that the whole set of candidates p(s) is a convex subset of the cone of positive semideenite matrices, resulting in a straightforward strictly positi...

In many scientific and engineering applications, the fuzzy set concept plays an important role. The fuzziness appears when we need to perform, on manifold, calculations with imprecision variables. The fuzzy set theory was introduced initially by Zadeh [1] in 1965. In the theory and applications of fuzzy sets, convexity is a most useful concept. In fact, in the basic and classical paper [1], Zad...