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Such a game is actually identical with a game G (Y) defined as follows denoting by P the set of prefixes of the words of R, let Y be the set of infinite words y = y 0 y 1 such that either y ∈ X ∩ R (ie Player I has won G(X) and both players have played consistently with the rules) or the smallest index n such that y 0 y 1`?!"$);9* YXW) F (\"$?_Mr;'Z T ")!8> Y!*h")I!OMBAPPROVAL UNITEDSTATES SECURITIESANDEXCHANGECOMMISSION Washington,DC549 OMB Number ExpiresFebruary28,09 Estimated 15 Partial Derivatives Partial Derivatives 15 5 The ƒƒ"ƒY "¯Œ^ ƒƒ"ƒO ƒXƒgƒŒ[ƒg