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2015 Fiscal Year Final Research Report

Theory of prediction based on game-theoretic probability and randomness

Research Project

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Project/Area Number 25540009
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Statistical science
Research InstitutionThe University of Tokyo

Principal Investigator

Takemura Akimichi  東京大学, 情報理工学(系)研究科, 教授 (10171670)

Co-Investigator(Kenkyū-buntansha) MIYABE Kenshi  明治大学, 理工学部, 専任講師 (00583866)
Project Period (FY) 2013-04-01 – 2016-03-31
Keywords確率論 / ランダムネス
Outline of Final Research Achievements

In game-theoretic probability stochastic behavior of the players results from a game between players. However the stochastic behavior is often a consequence of a deterministic strategy of the players. In particular, the strategy of the player "Reality" does not have a counterpart in the usual measure-theoretic probability and it is a new field of research. In this project we succeeded in establishing a general method for constructing Reality's deterministic strategy.

Free Research Field

確率論

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Published: 2017-05-10  

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