Effective Generation of Subjectively Random Binary Sequences

This paper is a first step in modelling mathematical objects showing "subjective randomness", or what people believe to be random. Although there is no rigorous characterization of what subjective randomness might be, it has become clear through experimentation that is quite different from stochastic randomness. A classic example which illustrates this difference is the following: when asked which of the following sequences is most likely be to produced by flipping a fair coin 20 times, OOOOOOXXXXOOOXXOOOOO OOXOXOOXXOOXOXXXOOXO most people will answer "the second sequence" even though each sequence has been produced by a random generator.