We introduce "resource-bounded betting games", and propose
a generalization of Lutz's resource-bounded measure in which the choice
of next string to bet on is fully adaptive. Lutz's martingales are
equivalent to betting games constrained to bet on strings in lexicographic
order. We show that if strong pseudo-random number generators exist,
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In (Allender and Strauss, FOCS '95), we defined a notion of
measure on the complexity class P (in the spirit of the work of (Lutz,
JCSS '92) that provides a notion of measure on complexity classes at least
as large as E, and the work of (Mayordomo, Phd. ... more >>>

We present a notion of resource-bounded measure for P and other
subexponential-time classes. This generalization is based on Lutz's
notion of measure, but overcomes the limitations that cause Lutz's
definitions to apply only to classes at least as large as E. We
present many of the basic properties of this ... more >>>