We present a brief survey of results on relations between the Kolmogorov
complexity of infinite strings and several measures of information content
(dimensions) known from dimension theory, information theory or fractal
geometry.

Special emphasis is laid on bounds on the complexity of strings in
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This paper is motivated by the open question
whether the union of two disjoint NP-complete sets always is
NP-complete. We discover that such unions retain
much of the complexity of their single components. More precisely,
they are complete with respect to more general reducibilities.

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We investigate non-parametric unit-demand pricing problems, in which the goal is to find revenue maximizing prices for a set of products based on consumer profiles obtained, e.g., from an e-Commerce website. A consumer profile consists of a number of non-zero budgets and a ranking of all the products the consumer ... more >>>