%0 Journal Article %T On the strict comparison theorem for $G$-expectations %A Xinpeng Li %J Mathematics %D 2010 %I arXiv %X This paper investigates the strict comparison theorem under the framework of $G$-expectation, i.e., let $X\leq Y$ q.s., if $X,Y$ satisfy some additional conditions, then $\E[X]<\E[Y]$. %U http://arxiv.org/abs/1002.1765v2