Banos, A., `On pseudo-games', Annals of Mathematical Statistics, 39, 1932-1945, 1968.

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Regret in the On-line Decision Problem - Foster, Vohra (1997)   (37 citations)  (Correct)

....that represents the proportion of times the column player has played each of each his strategies, then the vector (y; v(y) is in the target set G. So, to prove Hannan s theorem it is sufficient to show that the this target set is approachable. Independently but 9 years later in 1968, Banos [4] also derived Hannan s theorem. The proof given is quite complicated but proves it for the case where the payoffs are random variables and the row player knows only her won pure strategies. A decade after that, Megiddo [27] also proposed and proved Hannan s theorem, this time 23 years after the ....

Banos, A., `On pseudo-games', Annals of Mathematical Statistics, 39, 1932-1945, 1968.

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