Merging of opinions in game-theoretic probability

Details Merging of opinions in game-theoretic probability Merging of opinions in game-theoretic probability

2007-05-02

arxiv.org/abs/0705.0372v1

Mathematics

Probability

26 pages

Scientific paper

This paper gives game-theoretic versions of several results on "merging of opinions" obtained in measure-theoretic probability and algorithmic randomness theory. An advantage of the game-theoretic versions over the measure-theoretic results is that they are pointwise, their advantage over the algorithmic randomness results is that they are non-asymptotic, but the most important advantage over both is that they are very constructive, giving explicit and efficient strategies for players in a game of prediction.

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