Lehrer, Ehud Approachability in infinite dimensional spaces. (English) Zbl 1082.91004 Int. J. Game Theory 31, No. 2, 253-268 (2002). Summary: The approachability theorem of D. Blackwell [Pac. J. Math. 6, 1–8 (1956; Zbl 0074.34403)] is extended to infinite dimensional spaces. Two players play a sequential game whose payoffs are random variables. A set \(C\) of random variables is said to be approachable by player 1 if he has a strategy that ensures that the difference between the average payoff and its closest point in \(C\), almost surely converges to zero. Necessary conditions for a set to be approachable are presented. Cited in 1 ReviewCited in 14 Documents MSC: 91A05 2-person games 91A20 Multistage and repeated games Citations:Zbl 0074.34403 PDFBibTeX XMLCite \textit{E. Lehrer}, Int. J. Game Theory 31, No. 2, 253--268 (2002; Zbl 1082.91004) Full Text: DOI