Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A pair of universal sequence-set betting strategies   We introduce the sequence-set betting game, a generalization of An. A.
Muchnik's non-monotonic betting game. Instead of successively partitioning the
infinite binary strings by their value of a bit at a chosen position, as in the
non-monotonic game, the player is allowed to partition the strings into any two
clopen sets with equal measure. We show that, while there is no single
computable sequence-set betting strategy that predicts all non-Martin-L\"of
random strings, we can construct two strategies such that every
non-Martin-L\"of random string is predicted by at least one of them.

19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat