This is an announcement for the paper "Games in Banach spaces: Questions and several answers" by Jakub Duda and Boaz Tsaban. Abstract: Aronszajn-null sets are a notion of negligible sets for infinite dimensional Banach spaces generalizing Lebesgue measure zero sets on the real line and the Euclidean space. We present a game-theoretic approach to Aronszajn null sets, and discuss the ensuing open problems. Archive classification: Functional Analysis; Logic Remarks: Call for solutions The source file(s), Anull4.tex: 22039 bytes, is(are) stored in gzipped form as 0601556.gz with size 7kb. The corresponding postcript file has gzipped size 42kb. Submitted from: boaz.tsaban@weizmann.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0601556 or http://arXiv.org/abs/math.FA/0601556 or by email in unzipped form by transmitting an empty message with subject line uget 0601556 or in gzipped form by using subject line get 0601556 to: math@arXiv.org.